Complete the table by describing the opposite of the given situation and representing it with a positive or negative number. Enter the correct answers in the boxes. Quantity Opposite Quantity A football team gains 6 yards on a play, It loses yards on a play. Number: +6 Number:

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 choice has the correct steps in graphing the solution set to the following inequality? -45_> 20x-5y

Joline is solving the equation 0=x^2-5x-4 using the quadratic formula which value is the negative real number solution to her quadratic equation round to the nearest tenth if necessary