Translate the variable expression into a word phrase.

y + 2z

a.
the product of y and the sum of 2 and z

b.
the product of z and the sum of y and 2

c.
the sum of y and the quotient of 2 and z

d.
the sum of y and the product of 2 and z

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) = .

Common binomial factor of 6x(3x+7)+5(3x+7)

5, 6, 10 question: a. determine whether the side lengths form a triangle. (explain your reasoning) b. if it is a triangle, determine whether it is a right, acute, or obtuse triangle. (show your work)