Question

*PLEASE ANSWER SOON*

Answer 1

Answer:

The center is $(-4,5)$ and the radius is $11$.

Step-by-step explanation:

The center-radius form for a circle is:

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

where $(h,k)$ is the center and $r$ is the radius.

Compare:

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

$(x+4)^2+(y-5)^2=121$

$-h=4$ implies $h=-4$.

$-k=-5$ implies $k=5$

$r^2=121$ implies $r=\sqrt{121}=11$.

The center is $(-4,5)$ and the radius is $11$.

Answer 2

Answer:

(a) center: (−4, 5); radius: 11

Step-by-step explanation:

(x+4)² + (y−5)² = 121

(x-h)² + (y-k)² = r²

r² = 121

r =11