Question

Equation (x-5)²+(y+8)²=10. Find the center, th of the circle.

Answer 1

The equation represents a circle and by comparing it to the standard circle equation, the center of the circle is found to be (5, -8).

Step-by-step explanation:

The equation given is (x-5)²+(y+8)²=10, which represents a circle in a Cartesian coordinate system. The general form of a circle's equation is (x-h)²+(y-k)²=r², where (h, k) is the center of the circle, and r is the radius.

By comparing the given equation to the general form, we can determine that the center of the circle is (5, -8) because h and k are the values that make the binomials become zero.