Let C be the circle with equation x^2+2y-9=-y^2+28x+19$. If (a,b) is the center of C and r is its radius, what is the value of a+b+r?
x^2+2y-9=-y^2+28x+19 re-arrange into circle form (x-h)^2 + (y-k)^2 = r^2
x^2 -28x + y^2 + 2y = 28 complete the square forx and y
(x-14)^2 + (y+1)^2 = 196 + 28 + 1
center = 14, -1 r = sqrt (196+28+1) I think you can finish !