Answer:
Answer:
The standard equation for a circle with center (h,k) and radius r is (x-h)² + (y-k)² = r².
For question 9, the given information is the center (-6,-8) and the point (0,0) that passes through the circle. We can use the distance formula to find the radius:
r = √[(0-(-6))² + (0-(-8))²]
r = √[6² + 8²]
r = √100
r = 10
Now we can use the standard equation:
(x-h)² + (y-k)² = r²
(x-(-6))² + (y-(-8))² = 10²
(x+6)² + (y+8)² = 100
Therefore, the correct answer is (o) (x+6)² + (y+8)² = 100.