Two pyramids like the one below sit on top of the gate at the entrance to the bridge. Which expression shows how to determine the minimum amount of some use to make each of the pyramids?

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

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) = .