A 14-meter ladder is placed on a 23-meter wall. How far is the foot of the ladder from the base of the wall?

Use the elimination method to find the solution to the system of equations. 2x - 3y = -9 -x + 3y = 6

Find the values of y: 3y^3(y^2+ 2/3y)=0

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) = .