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2 years ago

Give the center and radius of the circle (x + 2)2 + (y - 4)2 =36

Mathematics

1 answer:

AURORKA [14]2 years ago

6 0

Answer:

<h2>B. Center: (-2, 4)</h2><h2>Radius: 6</h2>

Step-by-step explanation:

The equation of a circle:

$(y-h)^2+(y-k)^2=r^2$

Where

$(h,\ k)$ - center

$r$ - radius

We have the equation

$(x+2)^2+(y-4)^2=36\\\\\bigg(x-(-2)\bigg)^2+(y-4)^2=6^2$

Therefore

the center is (-2, 4)

the radius is 6

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Solve for k:<br>1/3k + 1/2 = 1/4k

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

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We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

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Using $r=h$ , we will get:

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Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

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$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

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3 years ago

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Elza [17]

The answer is <span>1683.

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2 years ago

An equation that is satisfied for every value of the variable for which both sides are defined

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2 years ago

How many solutions does 6 -3x = 12 - 6x have?

AysviL [449]

Answer:

Step-by-step explanation:

6-3x=12-6x

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3 years ago