Answer: Hypotenuse
Step-by-step explanation:
The Hypotenuse is known as the longest side of a triangle.
The following system of equations is _____.
y = - x +
2x + 6y = 4
independent
inconsistent
equivalent
Answer:
"equivalent"
Step-by-step explanation:
Right!!
Someone please help! Picture attached
Answer:
third side = 3
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = 5²
x² + 16 = 25 ( subtract 16 from both sides )
x² = 9 ( take square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
write the equation of the cirlce, in standard form which has endpoints of a diameter at (-5,-5) and (7,2)
The equation of the circle in standard form is ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.
A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.
Equation of the circle in standard form is,
( x-h )2 + ( y-k)2 = r2
we have to find the the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.
here, h = ( x1 + x2 ) / 2
k = ( y1 + y2 ) / 2
here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.
so, h = -5 + 7 / 2 = 1
k = -5 + 2 / 2 = -3/2
Putting all the values we get the equation of circle in standard form.
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f(x) and g(x) below, find the value of f(g(-3)).
f(x) = 4x - 1
g(x) = 2x² + 7x - 3
Answer:
[tex]f(g(-3))=-25[/tex]
Step-by-step explanation:
[tex]g(-3)=2(-3)^2+7(-3)-3=2(9)-21-3=18-24=-6\\f(g(-3))=4(-6)-1=-24-1=-25[/tex]
The original selling price of a share stock was d dollars. The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d). Which descriptions could explain what happened to the price of the share stock?
The price of a stock share has decreased by 15% and suddenly increased by 5%.
What is a percentage?The percentage is a fraction of a number represented as a number out of a hundred. The % symbol is used to denote percentages. The percentage signifies the frequency.
The selling price for a share of the same stock at a later date was represented by the expression 1.05(0.85d).
When a % decrease occurs, the number is deducted from 100, and when a percentage increase occurs, the number is added to 100.
100 - 15% = 85% = 0.85
100 + 5% = 105% = 1.05
original selling price = d
selling price at a later date = 1.05(0.85d)
0.85d means that the original price was discounted by 15%
1.05 means that the price increased by 5%
Thus, the price of a stock share has decreased by 15% and suddenly increased by 5%.
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When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
g c
4 15.80
8 31.60
11 43.45
15 57.25Choose all of the following statements that are true.
Select one or more:
a.
The range is {15.80, 31.60, 43.45, 57.25} .
b.
The set of independent values is {15.80, 31.60, 43.45, 57.25}.
c.
The range is {4, 8, 11, 15}.
d.
none of these
e.
The set of independent values is {4, 8, 11, 15}.
The two statements that are true about the table are:
A) "The range is {15.80, 31.60, 43.45, 57.25} ."
B) "The set of independent values is {4, 8, 11, 15}."
Which statements are true?Here we have the table for number of gallons and the costs of these:
g c
4 15.80
8 31.60
11 43.45
15 57.25
The statements that are true about that table are:
"The range is {15.80, 31.60, 43.45, 57.25} ."
This is true, the cost is the output of the table, thus, the range is that.
"The set of independent values is {4, 8, 11, 15}."
This is also called the domain, which is the input, in this case, the number of gallons of gas.
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What are the 3 linear equations?
The 3 linear equations are
1. y = mx + b
2. ax + by = c
3. x/a + y/b = 1
1. y = mx + b is a linear equation in two variables, x and y. The equation is in the slope-intercept form, where m is the slope of the line and b is the y-intercept.
2. ax + by = c is a linear equation in two variables, x and y. The equation is in the standard form, where a and b are constants and c is the result of the equation.
3. x/a + y/b = 1 is a linear equation in two variables, x and y. The equation is in the general form, where a and b are constants and 1 is the result of the equation.
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The following dotplot shows the centuries during which the 111111 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle. According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?
The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.
We will calculate the interquartile range and us the rule 1.5 .
The formula to calculate interquartile range is to subtract the value of first quartile by the value of second quartile.
IQR = Q3 - Q1
Therefore, interquartile range becomes,
IQR = 17 - 13
IQR = 4
Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first
4 * 1.5 = 6
and then,
17 + 6 = 23
on applying the rue we will get ,
13 - 6 = 7 .
This value means that there is no outlier in the displayed data set.
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find the missing part of the proof for m A. m B. m C. m D. m
Therefore, K= 66 degrees, LK length = 22 unit, and LK length = 22 unit are the answers to the specific problem of angles.
Angles are what?A geometrical angled construction is constructed from two rays that converge at the summit, or center, of both the angle and are referred to as the face and the vertex, respectively. Guess it depends on how they're situated, it is possible for two rods to create an angle together within plane. When two planes collide, an inclination is also formed. Diahedral angles are the term used to refer to them. Light beams or lines in euclidean geometry can have a wide variety of shapes or angles for the same termination. The phrase "angle" in English is based on the Latin term "angulus," which meaning "horn." the vertex.
Here,
Given: MKL M = 24 degree right triangle
K is 90 degrees, etc.
Thus,
=> ∠L + ∠M +∠K =180
=> 90 + 24 + ∠K = 180
=>∠K =180-114
K equals 66 degrees.
and
The formula for LK length is 22.
The formula for LK length is 22.
In light of this, the answer to the angle problem is
K=66 degrees, and LK length=2 units. LK length equals two units.
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A scale drawing has a scale of 0.5 in =10 ft find the length
Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).
The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.
So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:
Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)
To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.
Once you have that measurement, you could then simply multiply it by 20.
Step-by-step explanation:
Please help ASAP will give 5 stars and brainliest if possible!!
answer
the dot will be shaded and the line goes to the positive part because x is more than or equal to 3
A submarine in the middle of the ocean at a depth of 115 feet and dives to a depth of four times its initial death rate in submarines death as an integer
The integer number that represents the submarine's depth is given as follows:
-460.
What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
The concepts of height and depth are given as follows:
Height is above the sea level, hence it is represented by positive integers.Depth is above the sea level, hence it is represented by negative integers.A submarine in the middle of the ocean at a depth of 115 feet, hence the integer that represents the initial depth is given as follows:
-115.
The submarine dived to a depth that is four times the initial depth, hence the integer that represents the final depth is given as follows:
4 x -115 = -460.
(meaning that the final depth of the submarine is of 460 feet).
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Making connections between arithmetic sequences and linear function
Use the graph or the formula to write the equation of the line in a slope intercept form
Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.
What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.To learn more about arithmetic sequences refer to :
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To get to his parents' house, Dylan would have to drive due north 8 miles. To get to his
grandparents' house, he would have to drive due east 5 miles. What is the straight-line
distance between the parents' and grandparents' houses? If necessary, round to the nearest
tenth.
When Dylan travels 8 miles due north, the distance between the homes of the parents and grandparents is thus 9 miles.
what is pythagoras theorem ?The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three named sides. With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.
given
by pythagoras theorem
[tex]c^{2} = a^{2} + b^{2} \\c^{2} = 8^{2} + 5^{2} \\c^{2} = 64 + 25 \\c^{2} = 89 \\c = 9[/tex]
The homes of the parents and grandparents are thus 9 miles apart in a straight line.
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Could someone give me a hand here I’m rlly in a rush I needa get this over with
Answer:
c = √52
Step-by-step explanation:
applying pythagoras theorem: a² + b² = c²
where 'a' and 'b' are legs and 'c' the hypotenuse.
Substitute values:
6² + 4² = c²
c² = 36 + 16
c² = 52
c = √52
How do you simplify F G?
F G cannot be simplified because it is not an equation, it is a phrase.
1. First, determine what F G is. In this case, F G is a phrase and not and equation.
2. Since F G is a phrase, it cannot be simplified.
Determining what F G is the first step to simplifying it. F G is a phrase and not an equation, so it cannot be simplified. Simplifying an equation or expression requires breaking it down into its individual parts and then combining like terms or rearranging the equation to make it simpler. However, F G is not an equation and therefore cannot be simplified.
F G cannot be simplified because it is not an equation, it is a phrase.
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Can u please help...................
Answer:
(-2, 2)
Step-by-step explanation:
You want the circumcenter of the triangle with vertices A(2, -3), B(2, 7), and C(-6, -3).
CircumcenterThe circumcenter is the center of the circle that circumscribes the triangle. Here, the triangle is a right triangle, so the circumcenter is the midpoint of the hypotenuse.
MidpointThe midpoint of segment BC is the average of the coordinates of B and C:
X = (B +C)/2 = ((2, 7) +(-6, -3))/2 = (2 -6, 7 -3)/2 = (-4, 4)/2
X = (-2, 2)
The circumcenter is (-2, 2).
__
Additional comment
The right angle subtends an arc of twice its measure, 180°, so the circumscribed triangle occupies a semicircle, and the hypotenuse is a diameter. That puts the center of the circle at the midpoint of the hypotenuse.
What are the 3 parts to a chemical word equation?
The three main parts to a chemical word equations are the reactants , the products and the arrow .
What is a Chemical Equation ?
A chemical equation is defined as a representation of a chemical reaction expressing it in in terms of symbols of the substances.
The three main parts of the Chemical Equation are :
(i) The Reactants : During a chemical reaction, these elements combine and undergo some chemical changes. They are present on left side of reaction equation.
For Example : [tex]CH_{4} + 2O_{2}[/tex] ;
(ii) The Arrow : It indicates formation of products from reactant . It is represented as " → " ;
(iii) The Products : Products are the result of chemical reactions between their reactants. It is present on right side of the chemical equation.
For example, : [tex]CO_{2} +2H_{2} O[/tex]
So , overall Chemical Equation can be written as : [tex]CH_{4} + 2O_{2}[/tex] → [tex]CO_{2} +2H_{2} O[/tex] .
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(a-b)(a+2)-(a+b)(a-2)
What’s the slope of the line graphed?
Answer:
slope = (-8/3)
Step-by-step explanation:
Point 1: (1, 4); Point 2: (4, -4)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ -4 - 4 -8
----------- = ----------- = --------
x₂ - x₁ 4 - 1 3
I hope this helps!
What is the value of 7 power 2?
The correct answer to the given question is 49. To solve the given problem following steps are followed :
Step 1: 7 power 2 means 7 multiplied by itself 2 times.
Step 2: 7 times 7 is 49.
Step 3: So, the answer is 49.
Comparing two quantities that generate the same result when one is multiplied by a certain amount is known as a multiplicative comparison. Sam, for instance, has twice as many balloons as Sid does. Sid's got three balloons. Sam has two times Sid's amount of balloons. Sam has a total of 6 balloons, which is equal to 2 + 3 + 1.
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John had 50$. He spent 60% of the money on clothes and 60% of the remainder on food.
a) how much more did he spend on clothes than on food?
b) how many percent more did he spend on clothes than on food?
Answer:
Step-by-step explanation:
a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.
b) He spent 150% more on clothes than on food.
50PTS 50PTS 50PTS [D•O•N•T E•X•P•L•A•I•N]
Answer:x=20
Step-by-step explanation:5x+9 and 3x+11 must add to 180, so you can set these equal to 180 and get 8x+20 = 180, this can be simplified to 8x=160 or x = 20
Answer:
x = 20°
Step-by-step explanation:
Given angles,
→ 5x + 9
→ 3x + 11
Forming the equation,
→ (5x + 9) + (3x + 11) = 180°
{Because, sum of two angles in a straight line leads to 180°}
Now the value of x will be,
→ (5x + 9) + (3x + 11) = 180°
→ 5x + 3x + 9 + 11 = 180°
→ 8x + 20 = 180°
→ 8x = 180° - 20
→ x = 160/8
→ [ x = 20° ]
Hence, the value of x is 20°.
Which inequalities are true? Check all that apply. You
can use the tool on the right to help you.
5/6 > 4/6
3/8< 5/8
4/5 <2/5
4/7> 6/7
2/31/3
The true inequalities are:
5/6 > 4/6
3/8< 5/8
2/3 > 1/3
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
5/6 > 4/6
0.833 > 0.667
so, this inequality is true.
3/8 < 5/8
0.375 < 0.625
so, this inequality is true.
4/5 < 2/5
0.8 < 0.4
so, this inequality is false.
4/7 > 6/7
0.571 > 0.857
so, this inequality is false.
2/3 > 1/3
0.667 > 0.333
so, this inequality is true.
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please help i need help asap i have class in 2 hours pls
The value of x, given the angles next to the triangle, can be found to be 38 °
How to find the value of x ?To find the value of x, you first need to find the value of the other angles in the triangle.
Angles on a horizontal line add up to 180 degrees so the angle to the bottom left is:
= 180 - 134
= 46 °
The angle to the bottom right is:
= 180 - 84
= 96 °
The angles in a triangle add up to 180 ° so the value of x would be:
= 180 - 46 - 96
= 38 °
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How do you find the sides of an isosceles triangle given the angles?
To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.
An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.
For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:
Side AB = Side BC = (Side AC) x (Sin A / Sin B)
Where A and B are the angles of the triangle and Side AC is the known side length.
Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).
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At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows
The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.
What is scientific notation?Scientific notation is a way of expressing very small or very large numbers in a simpler form.
In scientific notation, the number is written as
a.b × 10ⁿ
Where
1 ≤ a < 10n is an integerIf the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!
The mass of 60 cows would be
= number of cows × mass of one cow
= 60 × 410 kg
= 24,600 kg
In scientific notation, it is
24,600 kg = 2.46 × 10,000
24,600 kg = 2.46 × 10⁴ kg
Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.
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Felix's dinner costs $16.49. Felix pays a $20 bill. About how much change did he receive? Show your work.
Answer: He received $3.51 in change.
Step-by-step explanation:
To get the answer we can subtract the amount Felix paid ($20) by the cost of the dinner ($16.49).
It will look like this:
$20.00 - $16.49 = $3.51
Answer:3 dollars and 51 cents
Step-by-step explanation:
Shaheen ha many triangular piece, each of area 1 q. Unit and many rectangular piece, each of area 2 q. Unit
If Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit she arranges these to form the given shape then the area of shape is 14 Square Units .
The Area of one triangular piece is given as = 1 Sq . Unit ;
The Area of one rectangular piece is = 2 Sq. Unit ;
From the shape given below ,
we can see that the shape has 4 triangular pieces and 5 rectangular pieces .
So , total area of given shape is ⇒[tex]4\times Area Of Triangle + 5\times Area Of Rectangle ;\\[/tex]
Substituting the values of Area ,
we get ;
[tex]Total Area = 4\times 1 +5\times 2[/tex]
= [tex]4+10[/tex]
= 14 Sq . Units .
Therefore , the area of the given shape is 14 Sq. Units .
The given question is incomplete , the complete question is
Shaheen has many triangular piece, each of area 1 sq. Unit and many rectangular piece, each of area 2 sq. Unit .
If she arranges these to form a shape as shown below, what would be the area of this shape ?
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What are tractable and intractable problems?
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
Define tractable problem.An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.
Here,
Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.
This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.
Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.
As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.
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