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valentinak56 [21]
3 years ago
11

Percy is plotting points on a graph. The ratio of y -value to x -value is 2 to 3 for each point. What will be the x -value of a

point with a y -value of 18 ?
Mathematics
2 answers:
hjlf3 years ago
6 0

Answer:

x= 27

Step-by-step explanation:

Percy is plotting points on a graph.

The ratio of y -value to x -value is 2 to 3 for each point

Ratio of y to x is 2 to 3

\frac{y}{x} = \frac{2}{3}

Given y value is 18

lets find out x

\frac{y}{x} = \frac{2}{3}

Plug in 18 for y

\frac{18}{x} = \frac{2}{3}

Cross multiply it

3*18 = 2x

54= 2x

Divide by 2 on both sides

x= 27

vichka [17]3 years ago
3 0
27 because the unit rate is 2/3, and 2/3 of 27 is 18
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Answer:

Part a) The triangles KJL and NMP are similar by AAA similarity postulate

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Step-by-step explanation:

Part a)

we know that

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In this problem

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The triangles KJL and NMP are similar by AAA similarity postulate

Part b) What is the value of x?

we know that

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3 years ago
Write a linear function $f$ with the values $f(0)=8$ and $\ f(4)=20$ .
lawyer [7]

Answer:

f(x) = 3x + 8 is the required linear function.

Step-by-step explanation:

We know that the slope-intercept form of linear equation is

y  = mx+b

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Given initial value

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Thus, the y-intercept = b = 8

Also given

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substituting the point (4, 20) and y-intercept b=8 in the slope-intercept form to determine the slope

y = mx+b                        

20 = m(4) + 8

20 = 4m + 8

4m = 20-8

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Dividing both sides by 4

m = 3

Thus, the slope = m = 3

Now, substituting m = 3 and b = 8 in the slope-intercept of linear function

y = mx+b

y = 3x + 8

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f(x) = 3x + 8

Thus,

f(x) = 3x + 8 is the required linear function.

VERIFICATION:

Given the linear function

f(x) = 3x + 8

plug in x = 0

f(0) = 3(0) + 8

f(0) = 8

plug in x = 4

f(x) = 3x + 8

f(4) = 3(4) + 8

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Help 80 points A concrete planter is formed from a square-based pyramid that was inverted and placed
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Answer:

<h3>(A)</h3>

The slant height of the pyramid refers to the height of a face of the pyramid.

Notice that each slant height forms a right triangle like the image attached shows, where the hypothenuse is the slant height. Additionally, the bottom leg is 1 yard, because is half of the base side, and the other leg is 2 yard. Using Pythagorean's Theorem, we have

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Therefore, the slant height is the square root of 5 yard.

<h3>(B)</h3>

The surface area of the composite figure is the sum of the surface area of both volumes.

<h3>Surface area of the cube.</h3>

S_{cube}=5(2yd)^{2}  =20 yd^{2}

Notice that we only included 5 faces of the cube, that is because the sixth is the base of the pyramid, so if we include it here, we would have the wrong total surface area.

<h3>Surface area of the pyramid.</h3>

S_{pyramid}=\frac{1}{2}pl

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S_{pyramid}=\frac{1}{2}(8yd)(\sqrt{5}yd )=4\sqrt{5}yd ^{2}

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<h3>(C)</h3>

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