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?
Put everything except the constants on one side
x^2 -28x + y^2 +2y = 28 complete the squares for x and y
(x-14)^2 + (y+1)^2 = 28 + 196 + 1 =225
center is 14,-1 radius is sqrt225 = 15 <=========you can finish