The prime factorizations of the denominators of and are given below: 14p = 2(7)(p) 8p2 = 2(2)(2)(p)(p) Identify the LCD of and . LCD = What is each expression multiplied by to create an equivalent rational expression containing the common denominator? ( ) = ( ) =

Combined megan and kelly worked 60 hours.kelly worked twice as many hours as megan.how many hours did they each worked?

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) = .

Which angle is the smallest? also give me an explanation so i can complete it to other questions as well, : )