Answer:
9
Step-by-step explanation:
The equation of a circle is:
(x - h)² + (y - k)² = r²
where (h, k) is the point at the center of the circle and r is the radius.
In the circle in the image, the center would be at (-5, 0) and the radius would be 3. The left side of the equation is already given to us. It is (x + 5)² + y². Now we just have to find the right side of the equation, r². We know from the image that the radius is 3. Lets plug in 3 for r and (x + 5)² + y² for the left side into the equation.
(x + 5)² + y² = 3²
Simplify.
(x + 5)² + y² = 9
Remember, we were trying to find (x + 5)² + y² = _. The _ would be 9.
I hope you find this helpful. :)
