Calculate the area of the figure below using the following information:

area of triangle abc = 7.95 square units

area of triangle acd = 9.8 square units

area of triangle aed = 8.75 square units

the area of the figure abcde is square units.

An equation is shown below: 3(4x − 2) = 1 which of the following correctly shows the first two steps to solve this equation?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Suppose the equation ||x-a|-b|=2008 has 3 distinct real roots and a not =0. find the value of b.