91Ó°ÊÓ

For the following exercises, graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither. \(3 x-2 y=5\) \(6 y-9 x=6\)

Graph the function. Observe the points of intersection and shade the \(x\) -axis representing the solution set to the inequality. Show your graph and write your final answer in interval notation. $$ |x-2|<0 $$

For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. $$ x^{4}-10 x^{2}+9=0 $$

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ \frac{2+\sqrt{-12}}{2} $$

The area of a trapezoid is given by \(A=\frac{1}{2} h\left(b_{1}+b_{2}\right)\) Use the formula to find the area of a trapezoid with \(h=6, b_{1}=14,\) and \(b_{2}=8\)

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ \frac{4+\sqrt{-20}}{2} $$

For the following exercises, solve the equation by identifying the quadratic form. Use a substitute variable and find all real solutions by factoring. $$ 4(t-1)^{2}-9(t-1)=-2 $$

For the following exercises, graph the pair of equations on the same axes, and state whether they are parallel, perpendicular, or neither. \(y=\frac{3 x+1}{4}\) \(y=3 x+2\)

For each of the following exercises, find and plot the \(x\) -and \(y\) -intercepts, and graph the straight line based on those two points. $$4 x-3 y=12$$

Solve the quadratic equation by using the quadratic formula. If the solutions are not real, state No Real Solution. $$ 2 x^{2}+5 x+3=0 $$