Which of the following statements is not true about the graph shown? F. The simplified ratio of the rise to the run of each triangle is 1/2

G. The slope of the line is 1/2

H. The slope of the line is -1/2

I. The two triangles shown are similar

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

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) = .

Graph the linear function using the slooe and y intercept