Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed of plane A is 200 miles per hour, and the speed of plane B is 300 miles per hour. The two planes are
miles apart after one hour.

Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain commodity satisfy the demand equation 4p cubedplusx squaredequals38 comma 400. determine the rate at which sales are changing at a time when xequals80, pequals20, and the price is falling at the rate of $.20 per week.

Moira has a canvas that is 8 inches by 10 inches. she wants to paint a line diagonally from the top left corner to the bottom right corner. approximately how long will the diagonal line be?

What are the coordinates of the point that is 1/3 of the way from a to b? a (2,-3) b (2,6)