Keisha has 29 carnival ride tickets and it takes 4 tickets to ride the roller coaster. How many times can she ride the coaster? How many tickets will she have left over?

What values of x satisfy the inequality x^2-9x< 0? how is your answer shown on the graph?

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) = .

52 cm radius = diameter = area = circumference = circumfer