The additive inverse of 7 11 is -7 11, which is the same number but with the opposite (or negative) sign. This means that when added together the two numbers will total zero.
Additive inverse of 7 11 = -7 + 11 = -7 11
The additive inverse of a number is the same number with the opposite sign, which can be helpful when solving equations. For example, if we have the number 7 11, the additive inverse would be -7 11. To find the inverse, we simply switch the sign from positive to negative (or vice versa). This means that when the two numbers are added together, the total sum will be zero. For example, 7 11 + (-7 11) = 0. The inverse of a number can also be helpful when we are looking for an unknown variable in an equation. For example, if we have the equation 3x + 7 11 = 4, we can find the value of x by subtracting 7 11 from both sides:
3x + 7 11 = 4 --> 3x
= -7 11 + 4 --> 3x
= -3 11 --> x = -1 11.
This means that x = -1 11.
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Polygon PQRST has vertices P(–4, 3), Q(1, 3), R(2, –3), S( 5, –3), and T(-7, -1). To the nearest tenth of a unit, what is the perimeter of the polygon?
perimeter = _____ Units
The perimeter of the polygon is 29.43
What are polygons?Polygon, in geometry, any closed curve consisting of a set of line segments (sides) connected such that no two segments cross. The simplest polygons are triangles (three sides), quadrilaterals (four sides), and pentagons (five sides).
Given here: P(–4, 3), Q(1, 3), R(2, –3), S( 5, –3), and T(-7, -1).
PQ=[tex]\sqrt{(1+4)^{2} +(3-3)^{2} }[/tex] =5
QR=[tex]\sqrt{1^{2} +9^{2} }[/tex] =9.055
similarly we can calculate the distance of the other edges and the perimeter of the polygon can be found out as PQ+QR+RS+ST+PT=29.43
Hence, The perimeter of the polygon is 29.43
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What is the equation of the line that passes through the point (4,-8)(4,−8) and has a slope of -2−2?
On solving the provided question we can say that by coordinates- (4,-8)(4,−8) ; y - y1 = m(x-x1) => y - x 12 = 0
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
by coordinates-
(4,-8)(4,−8)
y - y1 = m(x-x1)
y +8 = x - 4
y - x 12 = 0
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at sandwich shop sally can choose turkey or ham on a sandwich in addition she can choose from 5 different types of cheese if she randomly selects 1 type of meat and 1 type of cheese how many possible choices does she have.
Answer:
7
2 meats + 5 cheeses
= 7 choices
Can someone help me please? I will give brainliest (if possible)
Correct option is D, To satisfy triangle inequality theorem, 4 < c < 42.
Triangle inequality is a theorem in Euclidean geometry that states any two triangle sides added together must be greater than or equal to the third side; it is represented by the symbols a + b c.
The basic tenet of the theorem is that a straight line connects any two places.
According to the triangle inequality theorem, any two sides' sums in a triangle must be bigger than the length of the third side.
If a, b, and c are the lengths of a triangle's sides, then the sum of a and b's lengths is greater than c's length. Similar to how a+ c > b, b + c > a.
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What is the perimeter of a 5 cm pentagon?
A 5 cm pentagon has a perimeter of 25 cm.
What is perimeter?A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter. The perimeter of a thing is the distance surrounding it. Your house, for example, has a fenced-in yard. The perimeter of the barrier is its length. A perimeter is the length of a two-dimensional shape's border. It is sometimes defined as the total of the lengths of all the object's sides. The perimeter of such form is the algebraic sum of the lengths of each side. We have formulae for the various geometric forms.
Here,
side of pentagon=5 cm
perimeter of pentagon=5*side
=5*5
=25 cm
The perimeter of a 5 cm pentagon is 25 cm.
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Which trigonometric ratios are correct for triangle abc? select three options. Sin(c) = cos(b) = tan(c) = sin(b) = tan(b) =.
The correct ratios are
sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex] , tan(C) =[tex]\sqrt{3}[/tex] , sin(B) = [tex]\frac{1}{2}[/tex]
Consider the below figure attached to this question.
In triangle ABC, ∠A=90°, ∠B=30° and ∠C=60°, AC=9 and BC=18.
Using Pythagoras' theorem we get
hypotenuse² = perpendicular² + base²
BC² = AB² + AC²
⇒(18)² = AB² + 9²
⇒324 - 81 = AB²
Taking square root on both sides.
⇒√243 = AB
∴ √3 =AB
Trigonometric ratios are
[tex]sin(C) = \frac{opposite}{hypotenuse} = \frac{AB}{BC} = \frac{9\sqrt{3} }{18} =\frac{\sqrt{3} }{2}[/tex]
[tex]cos(B) = \frac{base}{hypotenuse} = \frac{AB}{BC} = \frac{9\sqrt{3} }{18} =\frac{\sqrt{3} }{2}[/tex]
[tex]tan(C) = \frac{opposite}{basee} = \frac{AB}{AC} = \frac{9\sqrt{3} }{9} =\sqrt{3}[/tex]
[tex]sin(B) = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{9 }{18} =\frac{1}{2}[/tex]
[tex]tan(B) = \frac{opposite}{base} = \frac{AC}{AB} = \frac{9 }{9\sqrt{3} } =\frac{1 }{\sqrt{3} }[/tex]
Therefore, the correct ratios are
sin(C) = [tex]\frac{\sqrt{3} }{2}[/tex] , tan(C) = [tex]\sqrt{3}[/tex] , sin(B) =[tex]\frac{1}{2}[/tex]
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The complete question is:
Which trigonometric ratios are correct for triangle ABC? Select three options.
1. sin(C) = StartFraction StartRoot 3 EndRoot Over 2 EndFraction
2. cos(B) = StartFraction StartRoot 2 EndRoot Over 3 EndFraction
3. tan(C) = StartRoot 3 EndRoot sin(B) = One-half
4. tan(B) = StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction.
State the possible rational roots for each question. Then find all roots. One root has been given.
x² - 2x³ - 16x² + 2x + 15 = 0; -3
Rationales that may be involved : [tex]$\pm 1, \pm \frac{1}{2}, \pm 3, \pm \frac{3}{2}, \pm 5, \pm \frac{5}{2}, \pm 15, \pm \frac{15}{2}$[/tex] and real roots in reason: [tex]$1,-1,-\frac{15}{2} \mathrm{~}$[/tex] .
What is the rational roots of the given equation ?We can use the theorem of rational zeros since all coefficients are integers.The constant term's coefficient, or trailing coefficient, is 15, and The plus and minus signs can be used to find its components. [tex]$\pm 1, \pm 3, \pm 5, \pm 15$[/tex] . The options for p are as follows. The maximum degree of the term's coefficient, or the leading coefficient, is -2.
The plus and minus signs can be used to find its components. [tex]$\pm 1, \pm 2$[/tex] . The possible possibilities for q are as follows.
Discover each potential value for [tex]$\frac{p}{q}: \pm \frac{1}{1}, \pm \frac{1}{2}, \pm \frac{3}{1}, \pm \frac{3}{2}, \pm \frac{5}{1}, \pm \frac{5}{2}, \pm \frac{15}{1}, \pm \frac{15}{2}$[/tex]
These could be the rationale for the following: [tex]$\pm 1, \pm \frac{1}{2}, \pm 3, \pm \frac{3}{2}, \pm 5, \pm \frac{5}{2}, \pm 15, \pm \frac{15}{2}$[/tex] rationales that may be involved: [tex]$\pm 1, \pm \frac{1}{2}, \pm 3, \pm \frac{3}{2}, \pm 5, \pm \frac{5}{2}, \pm 15, \pm \frac{15}{2}$[/tex] .
real roots in reason: [tex]$1,-1,-\frac{15}{2} \mathrm{~}$[/tex].
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A baker ha 85 cup (c) of flour to make bread. He ue 6 1/4 c of flour for each loaf of bread
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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What is Riemann sum formula?
A Riemann sum is a method used to approximate the definite integral of a function. A definite integral is a measure of the area between a function and the x-axis over a certain interval. The Riemann sum formula is used to approximate this area by breaking up the interval into a number of subintervals (or "rectangles") and summing the areas of each rectangle. The formula for a Riemann sum is given by:
∑ f(x_i) * Δx
where f(x) is the function being integrated, x_i is the right endpoint of the i-th subinterval, Δx is the width of the subinterval, and the sum is taken over all the subintervals.
The Riemann sum formula is defined with a limit, as the number of subintervals approaches infinity and the width of subintervals approaches zero, the Riemann sum formula becomes the definite integral.
There are different ways to calculate Riemann sum, such as Left Riemann Sum, Right Riemann Sum, Midpoint Riemann Sum, and Trapezoidal Riemann Sum, each one of them has different ways to calculate x_i, thus leading to different results, but all of them approach the definite integral as the number of subinterval increases.
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Is 1 √ 5x a polynomial?
1 - √5x is not a polynomial.
What are polynomials?Algebraic expressions called polynomials include constants and indeterminates.
Polynomials can be thought of as a type of mathematics.
Nearly all branches of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.
A specific kind of expression is a polynomial.
A mathematical statement without the equals symbol (=) is called an expression. Let's examine the definition and usage of polynomials as they are described below.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers.
Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.
Hence, 1 - √5x is not a polynomial.
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Which of the following tables represent a proportional relationship?
Therefore , the solution of the given problem of proportionality relationship comes out to be it is not proportional relationship.
How does proportionality work?Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an airport and the number of apples in a harvesting of apples depend on the average number of apples produced by each tree. A linear relation between two number or variables is referred to as being proportional in mathematics. If the initial quantity doubles, the other amount also does so. Whenever one of the parameters is reduced to 1/100th of the its previous value, the other decreases as well.
Here,
Given :
x= 1 , y=6
x=2,y=12
So , the equation is :
=> y =2x
The proportional relationship says that the line of the given equation passes through origin ,
=> y =2x
=> y = 2(0)
=> 0 =0
Thus , x =0 and y=0 because this line pass through origin it is proportional relationship.
Therefore , the solution of the given problem of proportional relationship comes out to be it is not proportional relationship.
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Giselle spent $18.72 on supplies to make friendship bracelets. She plans to sell the bracelets, b, for $1 each. Write an algebraic expression to show Giselle's profit.
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
what is expressions ?A statement that contains at least two numbers or variables, along with at least one mathematical operation, is referred to as a mathematical expression. Any one of the following mathematical operations could be used: addition, subtraction, multiplication, or division. The following are an expression's fundamental parts: : (Number/Variable, Math Operator, Number/Variable). A statement that includes at least two numbers or variables, at least one mathematical operation, and the word "expression" is referred to as a mathematical expression. Let's review expressive writing. The alternative number, which is known as x, is 6 more than half of the given number. This sentence is denoted by the phrase x/2 + 6 in mathematics.
given
number of bracelets = b
profit = $b*1 - $18.72
The algebraic formula to represent Giselle's profit is $b*1 - $18.72, or $b - $18.72, where $18.72 is spent on supplies.
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Solve for X. X can be positive, negative, whole number or decimal.
The value of x in the angle is -6
What is the value of x?Here, m ∠A = 86°m ∠B = (x +53)°
m ∠C = (x +53)°
An isosceles triangle always has three angles that add up to 180° degrees.2 (x + 53) + 86 = 180
2x + 106 + 86 = 180
2 x + 192 = 180
2x = 180- 192
2x = -12
x = -6
What is an isosceles triangle?An isosceles triangle always has three angles that add up to 180 degrees.Triangles that have at least two sides of equal length are said to be isosceles. Triangles are three-sided enclosed polygons, and depending on how long their sides are, they can be categorized as equilateral, isosceles, or scalene.The base and the apex angle are divided by the perpendicular from the apex angle.The isosceles triangle is divided into two congruent triangles by the perpendicular, which is sometimes referred to as its line of symmetry.An isosceles triangle has two equal sides, known as the legs, and an angle between them, known as the vertex angle or apex angle.The base is the side directly across from the vertex angle, and base angles are equal.To learn more about isosceles triangle, refer:
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Why is 8 not a perfect number?
8 is not a perfect number as sum of its proper divisors is not equal to 8.
A perfect number is a positive integer that is equal to the sum of its proper divisors, which are the divisors of the number excluding the number itself. In other words, a perfect number is a number that can be written as the sum of its divisors, excluding itself.
For example, the number 6 is a perfect number because its divisors are 1, 2, and 3, and 1+2+3 = 6.
8 is not a perfect number because it is not equal to the sum of its proper divisors. The divisors of 8 are 1, 2, 4, and 8, and 1+2+4 = 7, which is less than 8.
Therefore, 8 is not a perfect number. To this date, only 49 known perfect numbers have been found, they are all even numbers and the largest known perfect number is 2^(74,207,281) − 1, it has over 22 million digits.
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A man is climbing down from 250 feet high. He jumps 40 feet down and then descends at a
rate of 30 feet per minute. How many minutes did it take him to reach the ground?
5
7
8
11
It take him to 7 minutes reach the ground. You can calculate the tangent height of an object using the distance and angles
What is the height formula?By multiplying "D * tan (theta)," where "tan" is the tangent of angle theta, you can determine the height of the object of interest. For instance, rounding up, the height is 40 tan 50 = 47.7 metres if theta is 50 degrees and D is 40 metres.
rate of descent=30 feet per minute
Height of climb=250 feet
Since he jumped 40 feet in no time,
hence,
new height=250-40=210
Time taken to reach ground=height/rate of descent
Time taken=210/30
Time taken=7 minutes
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4x - 6y = 14
3x + y = 27
find x and y
Answer:
Step-by-step explanation:
What are the 3 notations for domain and range?
Set-builder notation: {x | x ∈ D} (where D is the domain) and {y | y ∈ R} (where R is the range), Interval notation: (a, b) (where a and b are the minimum and maximum of the domain) and [c, d] (where c and d are the minimum and maximum of the range) , Graphical notation: The domain and range are represented by a graph.
Set-builder notation is a way of representing the domain and range of a function. It uses curly brackets surrounding the domain and range variables, separated by a vertical bar. The form is {x | x ∈ D} (where D is the domain) and {y | y ∈ R} (where R is the range). This notation is useful when the domain and range are not easily written as a set of numbers.
Interval notation is another way of representing the domain and range of a function. It uses parentheses to represent the domain and square brackets to represent the range. The form is (a, b) (where a and b are the minimum and maximum of the domain) and [c, d] (where c and d are the minimum and maximum of the range). This notation is useful when the domain and range are quickly written as a set of numbers.
Graphical notation is a third way of representing the domain and range of a function. In this case, the domain and range are represented by a graph, with the x-axis representing the domain and the y-axis representing the range. This notation is useful when visualizing the relationship between the domain and range of a function.
Set-builder, interval, and graphical notations are all ways of representing the domain and range of a function. Set-builder notation is useful when the domain and range are not easily written as a set of numbers, while interval notation is useful when the domain and range are quickly written as a set of numbers. Graphical notation is useful when visualizing the relationship between the domain and range of a function.
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Hello! Help me please for points, will give brainliest if you answer correctly, too!
Rebecca can make 180 cupcakes at her bakery each day.
Currently, she has orders for more than 540 cupcakes.
Which inequality represents how many days it will take
Rebecca to complete her orders?
A x ≥ 3
B x≤ 3
C
x> 3
D x<3
option A The inequity x ≥ 3 indicates how many days it will take Rebecca to finish her orders.
what is inequality ?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal symbol (). Different inequalities are used to contrast values, no matter how small or large. Many simple inequalities can be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
given
180x3=540 is the value.
0x3=0 3x8 =24
Add 1+2 tens and the tens on top of the one to obtain 540.
so option A The inequity x ≥ 3 indicates how many days it will take Rebecca to finish her orders.
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how to solve 3x+5<14
Answer:
x<3
Step-by-step explanation:
3x+5<14
Your first step is to simplify the inequality.
To do this, always look to see if you can subtract any numbers from both sides to isolate a variable.
You can subtract 5 from both sides to isolate the 3x on one side.
After that, you will get 3x<9
Next, you must divide both sides by 3 to try and get x by itself, completing the inequality.
9/3 = 3
Your are left with: x<3
Done!
Answer:
x < 3
Step-by-step explanation:
3x + 5 < 14 subtract 5 from both sides
3x + 5 - 5 < 14 - 5
3x < 9 Divide both sides by 3
[tex]\frac{3x}{3}[/tex] < [tex]\frac{9}{3}[/tex]
x < 3
Choose the situation below that has a positive rate of change between variables. A A car uses 25 gallons of gas for each mile it is driven. B A skydiver falls an average distance of 12,500 feet during a dive. C The height of a building increases by 10 feet for every story added. D All of the above
The situation below that has a positive rate of change between variables: "The height of a building increases by 10 feet for every story added".
What is positive rate of change?A positive rate of change indicates that the amount under consideration is rising over time, whereas a negative rate of change indicates that it is declining with time. Change rates can be positive or negative. This corresponds to a change in the y -value between the two data points. The term zero rate of change refers to a quantity that does not fluctuate over time. An growing function's average rate of change is positive, whereas a declining function's average rate of change is negative.
Here,
The case below that exhibits a positive rate of change between variables: "The height of a building grows by 10 feet for every floor added".
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PLS HELP 100 POINTS
The function f(x) = 2x2 + 2 represents the rate of a bus traveling in miles per hour. The function g(x) = x + 2 represents the time the bus traveled in hours. Solve (f ⋅ g)(3), and interpret the answer.
(f ⋅ g)(3) = 100, the distance in miles the bus traveled
(f ⋅ g)(3) = 100, the number of buses
(f ⋅ g)(3) = 25, the distance in miles the bus traveled
(f ⋅ g)(3) = 25, the number of buses
Answer:
(f ⋅ g)(3) = 100, the distance in miles the bus traveled
Step-by-step explanation:
The product of (miles/hour) and (hours) is (miles), so only answers with units of distance are applicable. The numbers are ...
f(3) = 2·3² +2 = 20 . . . . miles per hour
g(3) = 3+2 = 5 . . . . hours
so (f·g)(3) = f(3)·g(3) = 20·5 = 100 . . . . miles
Answer:
(f ⋅ g)(3) = 100, the distance in miles the bus traveled.
Step-by-step explanation:
Given functions:
[tex]\begin{cases}f(x)=2x^2+2\\g(x)=x+2\end{cases}[/tex]
To calculate the composite function (f ⋅ g)(3), multiply function f(3) by function g(3).
[tex]\begin{aligned}(f \cdot g)(3)&=f(3) \cdot g(3)\\&=(2(3)^2+2)(3+2)\\&=(2(9)+2)(3+2)\\&=(18+2)(3+2)\\&=(20)(5)\\&=100\end{aligned}[/tex]
If function f(x) represents the rate of a bus travelling in miles per hour,
and function g(x) represents the time the bus travelled in hours:
[tex]\implies f(x) \cdot g(x)=\rm miles/hour \cdot hour=\dfrac{miles}{hour} \cdot hours=miles=distance[/tex]
Therefore, (f ⋅ g)(3) = 100 represents the distance in miles the bus traveled.
A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoon of vanilla are needed how many teaspoons are needed for 5 cups of flour
Answer:
Step-by-step explanation:
2
Show your work
Determine the perimeter of the triangle.
Round to the nearest hundredth. #8
Upload images
The perimeter of the triangle formed by ABC is 26.56
What is Coordinate Geometry ?A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.In order to make it simple to identify the points, a cartesian plane divides the plane space into two dimensions.
Here,
The coordinate plane is another name for it. The horizontal x-axis and the vertical y-axis are the two axes of the coordinate plane. The origin is the place where these coordinate axes connect, and they split the plane into four quadrants (0, 0). Additionally, each point in the coordinate plane is denoted by the coordinates (x, y), where x represents the point's location in relation to the x-axis and y represents its position in relation to the y-axis.
The points on the plane are
A (1,-2) , B(8,-5) and C (5,5)
The length of AB is
=> (81)2+(-5+1)2 = √72 +42
= √65
The length of BC is
(8-5)2+(-5-5)2 -
= /32+102 =
✓109
And Length of AC is
√(1 − 5)2 + (−2 −5)2 = √42 +72 = √65
The perimeter of the triangle is √65+ √65+√109 = 26.56
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How do you find the height of an obtuse angle?
To find the height of an obtuse angle in a triangle, you can use the following steps:
Identify the obtuse angle in the triangle.Draw the altitude from the vertex of the obtuse angle to the hypotenuse.The altitude forms a right triangle with the hypotenuse as the base and the altitude as the height of the obtuse angle.Use the Pythagorean theorem to find the length of the altitude. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.It is important to note that the hypotenuse of the right triangle (the base) must be the side opposite to the obtuse angle, and the other two sides should be the legs of the triangle. Also, the altitude can fall inside or outside of the triangle, it does not affect the calculation of the height.
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Consider the circle of radius 10 centered at the origin. Provide answers accurate to two decimal places. (a) the equation of the tangent line to the circle through the point (-6,8) has equation.
The equation of the tangent line to the circle through the point (-6,8) has equation = Y = 0.75x + 3.5
For circles that have a center at (0,0), the equation is [tex]x^{2} + y^{2} = r^{2}[/tex]
[tex]x^{2} + y^{2} = 10^{2}[/tex]
[tex]x^{2} + y^{2}[/tex] = 100
We check if the point (-6,8) is a circle
[tex]x^{2} + y^{2}[/tex] = 100
[tex]-6^{2} + 8^{2}[/tex] = 36 + 64 = 100
So the point is exactly at circle line, as picture below
We solve the gradient of a normal line (n)
Mn = [tex]\frac{y2 - y1}{x2 - x1}[/tex] = [tex]\frac{8 - 0}{-6 - 0}[/tex] = [tex]- \frac{8}{6}[/tex]
For perpendicular lines the gradient is
Mp = [tex]- \frac{1}{Mn}[/tex] = [tex]\frac{- 1 }{-\frac{8}{6} }[/tex] = [tex]\frac{6}{8} = \frac{3}{4}[/tex]
The standard equation of a linear line is
Y = mx + c
We need to find constant (c). We substitute x and y with point (-6,8)
So, x = -6 and y = 8
C = y - mx
C = 8 - ¾(-6) = 8 – [tex]\frac{18}{4}[/tex] = 3.5
With m = Mp = [tex]\frac{3}{4}[/tex] and c = 3,5
So, Y = mx + c
Y = [tex]\frac{3}{4}[/tex] x + 3.5
Y = 0.75x + 3.5
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Help with part a.
picture shown below
A conclusion or a hypothesis presented on an unproven foundation in mathematics is referred to as a conjecture, conjectures 6,it is divisible by 2,4,9,12.
What kind of hypothesis is this, for instance?An opinion or a conclusion drawn from incomplete information is referred to as a hypothesis in the English language. It is interchangeable with verbs and nouns. A hypothesis could be accurate or inaccurate. For instance, if a person is seen on the street, they can have an opinion about how old they are.A conclusion or a hypothesis presented on an unproven foundation in mathematics is referred to as a conjecture.speculation (about anything) (about something) What the murderer was thinking is entirely speculative in our opinion. Think that... In his estimation, in ten years, the population may double. speculative in nature She speculated that a brand-new species might exist.Therefore the result is 6,it is divisible by 2,4,9,12.
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x=8-2y,3x+y=6 solving linear equations
Answer:
So the solution is x = -0.57 and y = 30/7.
Step By Step Explanation:
To solve a system of linear equations, such as "x = 8 - 2y" and "3x + y = 6", we can use substitution or elimination method.
Using substitution method:
solve one equation for one variable
substitute the expression obtained in step 1 into the second equation
solve the equation obtained in step 2 to find the value of the variable that was solved for
substitute this value back into the first equation to find the value of the other variable.
x = 8 - 2y;
3x + y = 6;
solve for x in the first equation
x = 8 - 2y
substitute the value of x in the second equation
3(8-2y) + y = 6
solve the second equation obtained for y
24 - 6y + y = 6
25 - 6y = 6
-6y = -19
y = 19/6
substitute the value of y back in the first equation
x = 8 - 2(19/6) = 8 - (38/6) = 8 - (63/6) = 8 - (63/6) = 8 - 10.5 = -2.5
So the solution is x = -2.5 and y = 19/6
Alternatively, using elimination method:
Add or subtract one equation from the other to eliminate one of the variables.
Solve the resulting equation for the remaining variable.
Substitute this value into either of the original equations to find the value of the eliminated variable.
Multiply the first equation by -3
-3x = -24 + 6y;
Add the above equation to the second equation
-3x + y = 6
-24 + 6y + y = 6
-24 + 7y = 6
7y = 30
y = 30/7
substitute the value of y into the first equation
x = 8 - 2(30/7) = 8 - (60/7) = 8 - (60/7) = 8 - 8.57 = -0.57
So the solution is x = -0.57 and y = 30/7.
What do you mean by latitude and longitude Class 7?
Horizontal lines called latitudes are used to measure distances north or south of the equator. Vertical lines known as longitudes are used to determine the west or east of the meridian in Greenwich, England. Latitude and longitude work together to help cartographers, geographers, and others find specific locations on the globe.
What is the uses of latitude?Any location's distance from the equator may be determined using its latitude, which is based on its degree. We can locate any point on Earth using longitude and latitude. The GPS or Global Positioning System uses these coordinates.
The grid system that enables us to locate absolute or precise places on the surface of the Earth is made up of latitude and longitude. Latitude and longitude can be used to pinpoint certain locations. Landmark identification also benefits from knowledge of latitude and longitude.
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A tire with a 3-foot diameter makes a mark that is approximately 9 feet long after one rotation. A similar tire with a diameter of 2.25 feet makes a mark that is approximately 7 feet long after one rotation. Write an expression that can be used to find the approximate length of a tire mark after one rotation for a tire that has a diameter, d.
Answer: i’m the biggest bird
Step-by-step explanation:
i’m the biggest bird