A circle is centered at (-4, 6) and has a radius of 9. What is the equation of the circle?

C

Step-by-step explanation:

The standard equation for a circle is given by:

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

We want to find the equation of a circle that is centered on (-4, 6) and has a radius of 9 units.

Therefore, (h, k) = (-4, 6).

And r = 9.

By substitution:

Simplify. Hence, our equation is:

Our answer is C.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5