Question

The equation below describes a circle. what are the coordinates of the center of the circle?

Answer 1

Since, the equation involved is a circle let us clearly write the equation first:
$(x+5)^2+(y+2)^2=21^2$

From the standard equation of the circle:
$(x-h)^2+(y-k)^2=r^2$
$(h,k)=(x,y)$

So from the equation given above, our x would be -5, and our y is equivalent to -2.
So the center of our circle is located at the point (-5,-2)