The length of side pq is units. the length of side qr is about units. the perimeter of the parallelogram pqrs is about units.

The side PQ is 2 units.

The side QR is 2.24 units.

The perimeter of the parallelogram PQRS is  8.48 units.

Step-by-step explanation:

The side PQ is 2 units.

The side QR is units.

The perimeter of the parallelogram PQRS is or 8.47 units.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.