Question

What is the center of a circle represented by the equation (x+5)^2+(y−10)^2=(10)^2? a. (5,10) b. (5,-10) c. (-5,-10) d. (-5, 10)

Answer 1

a. (5, 10).

Explanation:

When the equation is (x - 5)^2 + (y - 10)^2, you can find the center from that. The x-coordinate of the center will be x - 5 = 0, so x = 5. The y-coordinate for the center will be y - 10 = 0, so y = 10.

Your center of the circle will be a. (5, 10).

Also, if you want to know the radius, you find the number to the right of the equation (in this case, (10)^2), and find the square root of the number. So, the radius of this circle is 10 units.

Hope this helps!