Suppose you add 10% of a number to the number, and you subtract 10% of the total. is the result greater than, less than, or equal to the original number.

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?

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) = .

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?