Prove the identity. [Hint: Let u = tan−1(x) and v = tan−1(y), so that x = tan(u) and y = tan(v). Use an Addition Formula to find tan(u + v).] (Enter your answers in terms of u and v.) tan−1 x + y 1 − xy = tan−1(x) + tan−1(y), −1 < x < 1, −1 < y < 1

The trapezoid is composed of a rectangle and two triangles. what is the area of the rectangle? what is the total area of the triangles? what is the area of the trapezoid? a) 48 cm2; 32 cm2; 80 cm 2 b) 48 cm2; 16 cm2; 64 cm 2 c) 128 cm2; 32 cm2; 160 cm 2 d) 128 cm2; 16 cm2; 144 cm 2