The center of a circle is at (−2, −7) and its radius is 6. what is the equation of the circle? (x−2)2+(y−7)2=36 (x−2)2+(y−7)2=3 (x+2)2+(y+7)2=3 (x+2)2+(y+7)2=36 the equation of a circle is (x+4)2+(y−5)2=121. what is the center and radius of the circle? center: (4, −5); radius: 11 center: (−4, 5); radius: 121 center: (−4, 5); radius: 11 center: (−4, −5); radius: 121

1. option D is correct;    

2. option C is correct; center: (-4, 5) and radius = 11 unit

Step-by-step explanation:

The general equation of the circle is given by:

               .....[1]

where,

(h, k) is the center of the circle and r is the radius of the circle.

1.

As per the statement:

The center of a circle is at (−2, −7) and its radius is 6.

⇒(h, k) = (-2, -7) and r = 6 units

Substitute these in [1] we have;

⇒  

Therefore, the equation of circle is,  

2.

As per the statement:

The equation of a circle is:

We can write this as:

On comparing with equation [1] we have;

(h, k) = (-4, 5) and r = 11 units

Therefore, the center and radius of the circle is,

center: (-4, 5) and radius = 11 unit

i believe the answer is letter c) 8

step-by-step explanation:

answer: check all that apply, where the options?

step-by-step explanation: