Question

What is the answer to the problem i need help with?

Answer 1

C

Explanation:

Recall the equation for a circle:

`(x-h)^2+(y-k)^2=r^2`, where the center is (h,k) and the radius is r.

The given equation is:

`(x+5)^2+(y+7)^2=21^2`

Another way to write this is:

`(x-(-5))^2+(y-(-7))^2=21^2`

Thus, we can see that h=-5 and k=-7.

The center is at (-5, -7).