29. Given f(x) = 3x + 5 and g(x) = – 8x – 10, a. Find f(x) + g(x)
b. Find f(x) – g(x)
c. Find f(x)  g(x)
d. Find f(x) ÷ g(x)
e. Determine which of the above are polynomials.

∠aed is formed inside a circle by two intersecting chords. if minor arc bd = 70 and minor arc ac = 180, what is the measure of ∠ aed? a) 45° b) 50° c) 55° d) 60°

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 two numbers if their sum is 91 and the ratio is 6: 7?