1. 6y^2 - y - 51 = (6y +17) (y - 3) = (3*2y + 17) ( y - 3)
A = 2 B = 17 C = 3
So
(AC)^2 - B = (2*3)^2 - 17 = 6^2 - 17 = 36 - 17 = 19
2. We need the distance formula * 4 = √ [( -4 - 1)^2 + (-2 - 10)^2 ] * 4 =
√ [ (-5)^2 + (-12)^2 ] * 4 =
√ [25 + 144 ] * 4 =
√169 * 4
13 * 4 =
52 = the perimeter
3. Midpoint formula [ (9+ 1)/2 , (6 - 2) /2 ]
I'll let you compute that one