Jayne has a home-based business putting on children’s parties. She charges $60 to design the party and then $10.00 per child. Write a function rule that relates the total cost of the party to the number of children n. f(n) = 10n – 55

f(n) = 10 – 55n

f(n) = 10 + 60n

f(n) = 60 + 10n

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles. i'm desperate.

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) = .

Find the distance between (7,-6) and (-3,-9)