Write the equation of the circle with a center at (- 2, - 8) and a radius of sqrt(10) .

(x + 2)^2 + (y + 8)^2 = 10

Step-by-step explanation:

The general equation of a circle with center at (h, k) and radius r

is (x - h)^2 + (y - k)^2 = r^2.  If the center is at (-2, -8) and the radius is √10, then this equation becomes:

(x + 2)^2 + (y + 8)^2 = 10

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2