Question

Math question please help If you get this right I will mark you as a brainliest

Answer 1

Remark

You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.

(x^2 + 10x ) + (y^2 - 16x ) = - 75

(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2

(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64

(x + 5)^2 + (y - 8)^2 = 14

The center is at (-5,8) which is C

Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.