What is the solution to the linear equation 2/3 x - 1/2 = 1/3 + 5/6x

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 value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12

What is the best approximation for the area of a circle with a radius of 4 m ? use 3.14 to approximate pi