91Ó°ÊÓ

Draw the parallelogram with vertices \(A(1,2), B(5,2), C(3,6),\) and \(D(7,6)\) on a coordinate plane. Find the area of the parallelogram.

Find an equation of the line that satisfies the given conditions. Through \(\left(\frac{1}{2},-\frac{3}{3}\right);\) perpendicular to the line \(4 x-8 y=1\)

Stopping Distance The stopping distance \(D\) of a car after the brakes have been applied varies directly as the square of the speed \(s\) . A certain car traveling at 50 \(\mathrm{mi} / \mathrm{h}\) can stop in 240 \(\mathrm{ft}\) . What is the maximum speed it can be traveling if it needs to stop in 160 \(\mathrm{ft}\) ?

\(11-36\) Make a table of values and sketch the graph of the equation. Find the \(x\) - and \(y\) -intercepts. $$ y=16-x^{4} $$

\(31-42\) . Solve the equation both algebraically and graphically. $$ x^{3}+16=0 $$

\(31-42\) . Solve the equation both algebraically and graphically. $$ x^{2}+9=0 $$

Plot the points \(A(1,0), B(5,0), C(4,3),\) and \(D(2,3)\) on a coordinate plane. Draw the segments \(A B, B C, C D,\) and \(D A\). What kind of quadrilateral is \(A B C D,\) and what is its area?

\(37-40\) An equation and its graph are given. Find the \(x\) - and \(y\) -intercepts. $$ y=4 x-x^{2} $$

A Jet of Water The power \(P\) of a jet of water is jointly proportional to the cross-sectional area \(A\) of the jet and to the cube of the velocity \(v\) . If the velocity is doubled and the cross- sectional area is halved, by what factor will the power increase?

Find an equation of the line that satisfies the given conditions. Through \((1,7) ;\) parallel to the line passing through \((2,5)\) and \((-2,1)\)