the point(-6 7) ________ on the circle with radius 5 and center (2 -9) Question the point(-6 7) ________ on the circle with radius 5 and center (2 -9) in progress 0 Math Hailey 3 months 2022-02-19T10:22:00+00:00 2022-02-19T10:22:00+00:00 1 Answer 0 views 0

## Answers ( )

Answer:(-6, 7) is NOT on the given circleStep-by-step explanation:Write out the standard equation of a circle with center at (h, k) and radius r:

(x – h)^2 + (y – k)^2 = r^2, where (h, k) is the center and r is the radius.

Substituting 2 for h and -9 for k, and 5 for r, we get

(x – 2)^2 + (y + 9)^2 =5^2

Now determine whether or not the point (-6, 7) is on this circle:

Substituting -6 for x and 7 for y, we get:

(-6 – 2)^2 + (7 + 9)^2 =5^2 Is this true or false?

64 + 256 = 225? NO. Thus,

(-6, 7) is NOT on the given circle.