6th grade math question: on a change in number of correct answers from a first math test to a second math test, antoine had 4 and lauren had -6. is it possible that lauren answered more questions correctly on the second math test than antoine did? explain.

Find the value of x for which the lines are parallel.

Factor the expression using the gcf. the expression 21m−49n factored using the gcf

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) = .