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3 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (−8,8) Midpoint: (−7,0)

Mathematics

2 answers:

Arturiano [62]3 years ago

8 0

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

<h3>If you follow the slope that the two points made (Endpoint: (−8,8) Midpoint: (−7,0), the slope is - $\frac{-8}{1}$ ) you follow it down like this:</h3>

I hope this helps

NikAS [45]3 years ago

3 0

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

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<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

$\large \tt 6 \div 2 = 3$

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

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$\tt V = \frac{4}{3}\times 3.14\times 27in$
$\tt V = \frac{4}{3}\times 84.78in$
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Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere $\tt V = \frac{4}{3}\pi r^3$ to get the answer. Where the volume of the sphere is $\tt\frac{4}{3}\:\:\:\:\pi$ multiplied by the cube of the radius.

$\tt V = \frac{4}{3}\pi r^3$
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$\tt V = \frac{1570in}{3}$
$\tt V = 523.33in^3$

<h3>Explanation</h3>

Therefore, the volume of the stone sphere is 523.33in³

<h3>#CarryOnLearning</h3>

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