If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14),
what is the coefficient of the squared expression in the parabola's equation?

A. 4
B. 6
C. 2
D. 8

Which point is on the line y=-2+3? (-2,-1) (3,3) (3,-3) (-3,-9)

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

The surface area of the triangular prism is .