Question

For the equation (x+8)²+(y−3)²= 9/4, what are the coordinates of the center of the circle?

Answer 1

The coordinates of the center of the circle are (-8, 3).

Step-by-step explanation:

The equation of the given circle is (x+8)²+(y−3)²= 9/4. To find the coordinates of the center, we can compare the equation to the standard form of a circle equation, which is (x-h)²+(y-k)²=r². Here, (h, k) represents the coordinates of the center, and r represents the radius.

Comparing the given equation to the standard form, we can see that the center coordinates are (h, k) = (-8, 3).