The first two steps in determining the solution set of the system of equations,  y  =  x2  – 2x  – 3  and  y  = –x  +3, algebraically are shown in the table.

which represents the solution(s) of  this system of equations?

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) = .

Select the conic section that represents the equation. 3x2 + 3y2 -2x + 4 = 0

In the diagram below,abc is congruent to dec what is the value of x