Find the area and perimeter of the triangle below. A(3, 0) B(3, −5) C(−5, −5)

Julia chooses a card at random from her set of cards. what is the probability that the card is labeled cat or hamster?

Solve 3x-18=2y and 5x-6y=6 by elimination show work

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) = .