Match the vocabulary word with the correct definition.

1. trapezoid a trapezoid with legs of the same length.

2. bases of a trapezoid a quadrilateral with at least one pair of parallel sides.

3. legs of a trapezoid the nonparallel sides.

4. median of a trapezoid the segment connecting the midpoints of the legs.

5. isosceles trapezoid the parallel sides.

If p(x) is the total value of the production when there are x workers in a plant, then the average productivity of the workforce at the plant is a(x) = p(x) x . (a) find a'(x). a'(x) = xp'(x) − p(x) x a'(x) = xp'(x) − p(x) x2 a'(x) = p'(x) − p(x) x a'(x) = xp'(x) − p'(x) x2 a'(x) = p'(x) − xp(x) x2 why does the company want to hire more workers if a'(x) > 0? a'(x) > 0 ⇒ a(x) is ; that is, the average productivity as the size of the workforce increases. (b) if p'(x) is greater than the average productivity, which of the following must be true? p'(x) − xp(x) > 0 p'(x) − xp(x) < 0 xp'(x) − p'(x) > 0 xp'(x) − p(x) < 0 xp'(x) − p(x) > 0

What is an equation of the line that is perpendicular to y=-x+3 and passes through the point (4, 12)? enter your equation in the box. basic

Abuilder divides a rectangular plot in half along the diagonal.if the plot is 1\2-mile wde and the diagonal measures 1 3\10-miles long,what is the length of the plot?