Draw ∆ABC and ∆PNM so that AB=12, AC=12, BC=8 and PN=15, PM=15, MN=10. Are the triangles similar? If so, by which postulate?

In factoring by grouping, what would you have for step 3 for the following? step 1: x^3 +5x^2 +4x+20 step 2: x^2 (x+5)+4(x+5) step 3: ?

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.

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation