On a map, 2 cm represents 30 mi. on the map, the distance between two cities is 7.5 cm.
what is the actual distance between the two cities?
a.
8 mi
b.
35.5 mi
c.
112.5 mi
d.
225 mi

Solve 3x-18=2y and 5x-6y=6 by elimination show work

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) = .

Klmn and pqrs are similar trapezoids. which side of pqrs corresponds to lm