What is the slope of the line that passes through the points (9, 4) and (9,-5)? Write your answer in simplest form.

On a piece of paper, graph y< x+1. then determine which answer matches the graph you drew.

Anna is constructing a line segment that is congruent to another segment ab. for the construction, which tool should be used to mesure segment ab

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) = .