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3 years ago

Find the slope of the line through p(-9,-3) and q(-5,-15)

Mathematics

2 answers:

irina [24]3 years ago

4 0

Slope = (-3 - (-15))/(-9 - (-5)) = - 12/4 = -3

timama [110]3 years ago

4 0

The slope would be -3 , hope that helps

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Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

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Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

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Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

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y----> the volume of the larger pyramid

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substitute

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Rewrite

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we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

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y----> the volume of the larger pyramid

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substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

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