Answer:
The easiest way of solving this is to eliminate one of the variables. If you multiply each of the equations by a number so you can add the equations together and have only one variable left, you can solve the single variable equation. Try multiplying the first equation by 11, the second by -10 and adding them, thus eliminating the y variable. After this, substitute that value you have for x and solve for y. I hope this helps.
Step-by-step explanation:
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Lana want to encloe a garden plot each ide of the garden will be 9 feet what i the area of the garden
The area of the garden is 81 square feet (9 x 9).
Since each side of the garden plot is 9 feet, then the area of the garden plot can be calculated by multiplying 9 feet by 9 feet, which is equal to 81 square feet.
To calculate the area of the garden plot, we need to know the length and width of the plot. Since the length and width of the garden plot is both 9 feet, then the area of the garden plot can be calculated by multiplying the length and width together. 9 feet multiplied by 9 feet is equal to 81 square feet, which is the area of the garden plot.
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Jacob is roller skating. He can skate 3/10 of a mile in 1/2 of a minute. What is Jacobs unit rate in miles per minute? please answer this is 100% of my grade TwT
Answer:
[tex]\frac{3}{5}[/tex] miles per minute
Step-by-step explanation:
3/10 ÷ 1/2
3/10 x 2 = 6/10 = 3/5
ABCD is a parallelogram. Find the length of AB. A. 20 B. 17 C. 7
how to graph y=-2/3x-5
-2x+3y=-15
By plotting the given points (0,-5) , (1,-17/3 ) for y=-2/3x-5 and the points for-2x+3y=-15 are (0,-5) , (1,-13/3) and (2,-11/3) we get the required graph.
What is linear equation ?
Linear equation can be defined as the equation in which highest degree is one.
Given Equation,
y=-2/3x-5 and -2x+3y=-15
So,
use the slope form is
y= mx+b , where m is slope and b is the y-intercept.
find the valued of m an b using the form y = mx+b
m = -2/3 and b=-5
The slope of line is the value of m and y-intercept the value of b
slope = -2/3
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding 2y values.
create a table for x and y values.
x y
0 -5
1 -17/3
and soon
Similarly for -2x+3y=-15
x y
0 -5
1 -13/3
2 -11/3
and soon
And Hence plot the points in the graph.
Therefore, By plotting the given points (0,-5) , (1,-17/3 ) for y=-2/3x-5 and the points for-2x+3y=-15 are (0,-5) , (1,-13/3) and (2,-11/3) we get the required graph.
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Find the Equation of the line that goes through (2,7) and (-1.1)
*Graphically and Algebraically
i need help hurryyy !!
Answer: 3
Step-by-step explanation: -4 1/3 divided by 2 1/5 = -1 32/33
Answer:
-1 32/33
Step-by-step explanation:
Negative divided by positive is negative.
We know the answeer will be negative.
Now ignore the signs, and just divide the mixed numerals.
1. Convert the mixed numerals to fractions.
2. Divide.
3. Convert quotient back to mixed numeral.
4. Make answer negative.
1. 4 1/3 ÷ 2 1/5 = 13/3 ÷ 11/5
2. = 13/3 × 5/11 = 65/33
3. = 33/33 + 32/33 = 1 32/33
4. Answer: -1 32/33
What quadrant is 0degrees?
0 degrees is located in Quadrant I of the Coordinate Plane.
Quadrant I is the top right section of the coordinate plane, and it contains all the points where the x-coordinate and y-coordinate are positive. 0 degrees is the angle formed by the positive x-axis, and it is located in Quadrant I.
A coordinate plane is divided into four sections called quadrants, which are numbered I, II, III, and IV in a counterclockwise direction, starting with the top right.
This quadrant is defined by angles between 0 and 90 degrees and is generally associated with positive values on both the x- and y-axes.
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How do the graphs of the functions f(x) = (3/2)x and g(x)
The function g(x) = (2/3)ˣ is the graph of the function f(x) = (3/2)ˣ reflected over y-axis.
What is function?A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math.
f = {(a, b)| for all a ∈ A, b ∈ B}.
Given, the function
f(x) = (3/2)ˣ
g(x) = (2/3)ˣ
We have to compare the graphs of the functions f(x) and g(x).
Exponential function is of the form: y = abˣ
Where a is the initial value and b is the growth factor.
a) If b > 1, then the function is an exponential growth function.
b) If 0 < b < 1, then the function is an exponential decay function.
f(x) = y = (3/2)ˣ
The function is an exponential growth function.
The rule of reflection over y-axis:
(x, y) → (-x, y)
Applying the rule, we get,
(3/2)ˣ = (3/2)⁻ˣ
= (2/3)ˣ
= g(x)
Therefore, g(x) is graph of f(x) reflected over y-axis
Hence, graph of the function f(x) = (3/2)ˣ reflected over y-axis is function g(x) = (2/3)ˣ .
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Can someone please help me
Therefore , the solution of the given problem of triangle comes out to be x = 32.376 side of the hypotunse length.
What precisely is a triangle?Since a triangle has four or even more sections, it is a polygon. It has an easy geometric form. Triangle ABC refers to a square with angles A, B, & C. A singular plane and square are produced by Euclidean geometry whenever the sides are still not collinear. A triangle is a polygon if it has 3 components and three corners. Where a triangle's three sides come together are known as the corners. A triangle's angles add up to 180 degrees.
Here,
Given:
Triangle having :
=> Sin 78° = h /30
=> 0.9781 = h /30
=> h = 30 * 0.9781
=>h =29.343
and
For x :
=> Sin 65° = 29.343 /x
=> 0.9063 = 29.343 /x
=> x = 29.343 / 0.9063
=> x = 32.376
Therefore , the solution of the given problem of triangle comes out to be
x = 32.376 side of the hypotunse length.
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Why do people say geometry is hard?
Due to the lack of spatial thinking instruction in most math classes, people say geometry is hard. People should acquire geometrical ideas easily instead.
Who named geometry?The father of geometry, Euclid was a brilliant mathematician. The terms "ge" and "metria," which both imply "measuring," are the origins of geometry. For more than 2000 years, the Greeks' method of approaching geometry has served as the foundation for geometry.
The study of various mathematical or actual-world forms, figures, and sizes is known as Geometry. We learn about various angles, transformations, and similarities between the forms in geometry. The point, line, and plane are the main building blocks of geometry.
Everyone finds it difficult to dive into the issue of proofs. Children must realize that this issue affects everyone, even the mathematically skilled. Because they have trouble seeing how 3D, and 2D, forms, angles, and lines connect from various viewpoints, most youngsters struggle with geometry issues. Even kids who are really good at solving sum problems in math might be utterly stumped by this.
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Due to the lack of spatial thinking instruction in most math classes, people say geometry is hard. People should acquire geometrical ideas easily instead.
Who named geometry?Euclid, the inventor of geometry, was a master mathematician. The words "ge" and "metria," both of which denote "measuring," are where geometry got its start. The way the Greeks approached geometry has been the basis for geometry for more than 2000 years.
Geometry is the study of different mathematical or real-world shapes, sizes, and figures. Geometry teaches us about numerous angles, transformations, and similarities among forms. The primary components of geometry are the point, line, and plane.
Everyone finds it challenging to explore the topic of proofs. Children need to understand that this problem impacts everyone, even those who are good at arithmetic. Most kids have problems with geometry because they have trouble recognizing how 3D and 2D shapes, angles, and lines link from different views. Even children who excel at math sum problems may be completely baffled by this.
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Magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the
year. What i it equity at year end?
Magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the year. Then the equity at year end become 88799
magnolia ha a net aet of P142,234. 00 after liabilitie of P53,435. 00 at the end of the
year. What i it equity at year end?
The ideal current ratio for a company is between 1.2 and 2, which indicates that it has two times as many current assets as liabilities to cover its debts.
If the current ratio is less than 1, the company's liquid assets are insufficient to cover its current liabilities.
equity = assets - liabilities
= 142234-53435
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What is -2[6^2-(8-5)^3]
Answer:
Well yeah its -18
Step-by-step explanation:
find the sum of the measures of interior angles of the indicated convex polygon
(a) nonagon (b)dodecagon c) 23-gon ?
(a) The sum of the interior angles of the nonagon is 1260°.
(b) The sum of the interior angles of the dodecagon is 1800°.
(c) The sum of the interior angles of the 23-gon is 3780°.
What is a convex polygon?
A convex polygon is a closed figure with all of its interior angles less than 180° and all of its vertices pointing outward. The term convex refers to a shape with a curve or a projecting surface. To put it another way, all of the lines across the outline are straight and point outwards.
The formula for the sum of the interior angle is (n -2)180°.
The number of sides of the nonagon is 9.
Putting n = 9 in (n -2)180°, to find the sum of interior angle of nonagon:
The sum of the interior angle is (9 -2)180° = 1260°.
The number of sides of dodecagon is 12.
Putting n = 12 in (n -2)180°, to find the sum of interior angle of dodecagon:
The sum of the interior angle is (12 -2)180° = 1800°
Putting n = 23 in (n -2)180°, to find the sum of interior angle of 23-gon:
The sum of the interior angle is (23 -2)180° = 3780°.
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simplify. (9x2- 8x-3) + (2x+8)
A. 11x + 10x +5
B. 9x2-6x+5
C. 9x2+10x-11
D. 11x2-6x-11
The result of simplifying the quadratic polynomial (9x2- 8x-3) + (2x+8) is 9x2 - 6x + 5.
what is polynomial ?In mathematics, the intersection point is the place on the y-axis where the slope of the line passes. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are highlighted in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten so that they appear to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
given
(9x2- 8x-3) + (2x+8)
9x2 - 8x - 3 + 2x + 8
9x2 - 6x + 5
Thus, the result of simplifying (9x2- 8x-3) + (2x+8) is 9x2 - 6x + 5.
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Why is it called equation?
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
what is equation?Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the word "equal." The slope-intercept form, standard form, and point-slope form are the three primary forms of linear equations. A mathematical expression known as an equation contains the equals sign. Algebra is a significant component of many equations. When you don't know the exact number to compute in math, you use algebra.
given
The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Consider the equation 3x + 7 = 14, where 3x + 7 and 14 are two expressions that are separated by the symbol "equal."
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Two sides of a triangle each measure 8 inches.
Maria says the triangle must be isosceles. Is Maria correct? Explain.
A.
No; the third side could measure 9 inches or 7 inches, and the triangle would be scalene.
B.
Yes; an isosceles triangle has at least two sides that have equal measures.
C.
Yes; the third side could measure 9 inches, and the triangle would be equilateral.
D.
No; the third side of the triangle could be 8 inches, and the triangle would be acute.
Answer:
B.) An isosceles triangle has at least two sides with equal measures.
Step-by-step explanation:
There are two equal sides and two equal angles in an isosceles triangle. There should be at least 2 equal sides for an Isosceles triangle. This means, even an equilateral triangle is an Isosceles triangle. In this case, at least two equal sides are 8 inches each. This is why the correct answer is 'Yes; an isosceles triangle has at least two sides that have equal measures.'
You want to know how long the road marked x is and you know the lengths of the other two roads that form a right angle with the road, has the measurements to find the length marked x
Please help! Trig!!!!!!!l. Look at the image! And answer the question! Thank u!
Therefore , the solution to the given problem of trigonometry comes out to be Sin( θ) = Cos(90 - θ).
Describe trigonometry.Correlations between triangles' angles and sides are studied in the mathematics discipline known as trigonometry. Since every straight-sided form can be reduced to a collection of triangles, trig can be found throughout geometry. The relationships between trigonometric and other branches of mathematics, in particular calculus, either real or complex, integrals, square root, and integrals, are astonishingly complicated.
Here,
Below is a list of the trigonometric values that are missing:
Angle A = θ-90.
28° sin = 62° cos
Cos 33° equals Sin 57°.
Cos 31° equals Sin 59°.
Sin( θ) = Cos(90 - θ).
Therefore , the solution to the given problem of trigonometry comes out to be Sin( θ) = Cos(90 - θ).
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What is the domain of f )= 4?
The domain of f(x) = 4 is the set of all real numbers.
The domain of any constant function (where the output is always the same) is the set of all real numbers. This is because any real number can be plugged into the function, and the output will always be 4.
The domain of f(x) = 4 is the set of all real numbers, including integers, rational numbers, irrational numbers, and any other types of real numbers.
The domain of f(x) = 4 is the set of all real numbers.
The domain of any constant function (where the output is always the same) is the set of all real numbers. This is because any real number can be plugged into the function, and the output will always be 4.
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What 2 - 3
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P
Wanda sews small and large gloves. It takes her 45 minutes to sew a small pair of gloves and 120 minutes to sew a large pair of gloves. The costs of producing the gloves are $2 for a small pair and $4 for a large pair. Wanda has 16 hours available to sew gloves. The materials to make the gloves must cost at most $40. The system of linear inequalities represents this situation.
{45x+120y≤9602x+4y≤40
The point represents the number of small gloves is 16 and the number of large gloves is 2.
What is linear inequality?According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).
Given Wanda sews small and large gloves,
time for small gloves = 45 minutes
time for large gloves = 120 minutes
total time = 16 hours = 960 minutes
let x be the number of small gloves and y be the number of large gloves,
inequality equation is 45x + 90y ≤ 960
and the cost of small gloves = $2
cost of large gloves = $4
total amount = $40
equation 2x + 4y ≤ 40
let us assume the system of inequality in form of a linear equation,
45x + 90y = 960
2x + 4y = 40
by solving the equations
the equation is written as
x = 20 - y
45(20 -y) + 90y = 960
y = 2
and x = 16
so the minimum values for x and y are 16 and 2 to maximize the profit Wanda should not decrease the production of small gloves from 16 and large gloves to 2.
Hence the point of maximization is (16, 2).
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the complete question is in image.
I need help on quiz 4-1 classifying and solving for sides/ angles
Step-by-step explanation:
I don't know because you have it to far
Change 20.4 yards to inches.
Answer: 734.4 inch
Step-by-step explanation:
Answer:
734.4 is the correct answer
Write a function in terms of $t$ that represents the situation.
Sales of $10,000 increase by 65% each year.
A function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
What is function?An element of one non-empty set and an element of another non-empty set are said to have a special relationship when they are connected by a function in mathematics.
An assignment of an element from set Y to each element of set X, where set X is the domain and set Y is the codomain, is what is meant when a function is applied from a set X to a set Y.
We have given that f(t) is given by the Sales of $10,000 increase by 65% each year, i.e.
As sales of $10,000 increase by 65% each year.
The situation is represented by an exponential growth function.
The initial amount a = 10,000
The rate of growth r = 65% = 0.65
Therefore, the function will be:
t = a(1 + r)ⁿ
Where,
t represents the final amount.
a represents the initial amount
r represents the rate of growth
1+r represents the growth factor
n represents the time.
⇒ t = a(1 + r)ⁿ
⇒ t = 10,000(1 + 0.65)ⁿ
⇒ t = 10,000(1.65)ⁿ
Thus, a function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.
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Does 15 12/9 make a triangle?
Answer: No it doesnt
Step-by-step explanation:
12+9 = 21 which is greater than 15 meaning it cannot create a triangle
How likely is the spinner to land a consonant rather than a vowel?
The likelihood of the spinner to land on a consonant rather than a vowel is C. Less likely.
How to find the likelihood ?The likelihood of the spinner landing on a consonant rather than a vowel can be found by the formula :
= Number of consonants / Number of outcomes on the spinner
= 4 / 9
= 0. 44
This likelihood is less than 50 % which is what would have made the likelihood equally likely. However, it is not much lower than 50 % so the likelihood would be less likely.
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Which of the following could be the units for dy/dx if y is the surface area of a tumor and x is the radius of the tumor
The units (derived unit) for dy/dx will be option C i.e. square millimeter per milimeter.
What are units?
Unit is a quantity of constant magnitude which is used to measure the magnitudes of other quantities of the same manner.
There seven SI base units, which are comprised of:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
Derived units - A derived unit is a unit of measurement in the International System of Units (SI) that is derived from one or more of the seven base units.
As
Surface area(y) is mm^2
and radius(x) is mm
so, dy/dx will be mm^2/mm.
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Which of the angles measures more than 90 but less than 180?
Answer:
Isosceles triangle
Step-by-step explanation:
Isosceles triangle has more than 90 but less than 180, which means Isosceles triangle is equal to 120.
What is a 4 polygon?
A 4 polygon is a two-dimensional shape with four sides and four angles.
What is polygon?Polygon is a closed figure in a plane made up of straight lines or curved lines that intersect in pairs. A polygon has at least three sides and angles. The sides can be of any length and the angles can be of any measure. Polygons are classified according to the number of sides they have, such as triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), etc. Polygons are used in many fields, from mathematics to engineering.
It is a type of quadrilateral, which is a polygon with four sides. Examples of 4 polygons include squares, rectangles, rhombuses, and trapezoids. All 4 polygons have four sides of equal length, and all their interior angles add up to 360 degrees.
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What is the value of x in the triangle? an isosceles right triangle with two legs of length 10 and hypotenuse of length x.
After using the Pythagorean theorem, the hypotenuse of the length x is 14.14 cm
In this case, we are given that:
The isosceles right triangle has two legs with length 10 cm
Let’s assume leg 1 as “a” = 10 cm, and leg 2 as “b” = 10 cm
The length of hypotenuse is “c”
To find the value of the hypotenuse or the longest side of a right triangle, we can use Pythagorean theorem:
a² + b² = c²
10² + 10² = c²
200 = c²
c = √200 = 14.14 cm
Therefore, the length of the hypotenuse would be 14.14 cm
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