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3 years ago

If A is (-2,6) and B is (4,-2), what is the midpoint of AB

1 answer:

4 0

Given two points:
A(x₁,y₁) and B(x₂,y₂) the midpoint would be:
M((x₁+x₂)/2 , (y₁+y₂)/2)
In this case:_
A(-2,6) and B(4,-2); the midpoint would be:
M((-2+4)/2 , (6-2)/2)=(1,2)

Answer: the midpoint of AB is (1,2)

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2 years ago

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3 years ago

Using the given points, determine the slope. (0, 32) and (100, 212)

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2 years ago

A where and a cylinder have the same radius and height . The volume of the cylinder is 48 cm 3. What is the volume of the sphere

SOVA2 [1]

Given:

Sphere and cylinder have same radius and height.

Volume of the cylinder = 48 cm³

To find:

The volume of the sphere.

Solution:

Radius and height of cylinder are equal.

⇒ r = h

Volume of cylinder:

$V=\pi r^2h$

Substitute the given values.

$48=\pi r^2r$ (since r = h)

$48=\pi r^3$

$48=3.14 \times r^3$

Divide by 3.14 on both sides.

$$\frac{48}{3.14} =\frac{3.14\times r^3}{3.14}$

$$15.28=r^3$

Taking cube root on both sides, we get

2.48 = r

The radius of the cylinder is 2.48 cm.

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Volume of sphere:

$$V=\frac{4}{3} \pi r^3$

$$V=\frac{4}{3} \times 3.14 \times (2.48)^3$

$V=63.85$

The volume of the sphere is 63.85 cm³.

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3 years ago