Which of the following can only be used after you prove triangles are congruent? alternate interior angles reflexive substitution cpctc

The parabola x = y² - 9 opens: a.)up b.)down c.) right d.)left

Is appreciated! graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. f(x) = 4^xg(x) = 4x^2options: x = -1x = 0x = 1x = 2

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) = .