A line passes through the points (4, 0) and (–4, –8). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in the simplest form.

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Two times a number plus three times another number equals 4. three times the first number plus four times the other number is 7. find the numbers

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) = .