Question

What is the center of the circle (x+7)^2+(y+4)^2=25

Answer 1

9514 1404 393

Answer:

(-7, -4)

Explanation:

Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.

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

You see that ...

-h = +7 ⇒ h = -7

-k = +4 ⇒ k = -4

Then the center is ...

(h, k) = (-7, -4)

__

The radius is ...

r^2 = 25 ⇒ r = √25 = 5 . . . radius of the circle