On a coordinate plane, a line is drawn between points (negative 4, negative 3) and (negative 1, 4). Use the Pythagorean theorem to find the distance on the coordinate plane.

a2 + b2 = c2

What is the distance between the two points?
StartRoot 20 EndRoot
StartRoot 40 EndRoot
StartRoot 45 EndRoot
StartRoot 58 EndRoot

Estimate the product. round the first factor to the nearest whole number, round the second factor to the nearest ten, and then multiply. 3 8/9 × 96

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) = .

Wrote and expression for the difference of p and 4