91Ó°ÊÓ

Solve each formula for the specified variable. The use of the formula is indicated in parentheses. $$\frac{1}{R}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}} \text { for } R_{2} \text { (resistance) }$$

Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$(-3+2 i)+(5-6 i)$$

Find the slope of the line containing each pair of points. $$(0,0),(5,0)$$

Find the slope of the line containing each pair of points. $$\left(\frac{1}{8}, \frac{1}{4}\right),\left(\frac{1}{4}, \frac{1}{2}\right)$$

Solve each equation and check your answer. $$-3 x+6=12$$

Draw a scatter diagram for each given data set. Use graph paper. From your graph determine whether there is a linear relationship between the variables. $$\begin{array}{|c|c|}\hline \begin{array}{c}\text { Height } \\\\\text { (in.) }\end{array} & \begin{array}{c} \text { Grade } \\\\\text { Point } \\\\\text { Average }\end{array} \\\59 & 1.9 \\\66 & 3.8 \\\72 & 1.6 \\\62 & 2.5 \\\74 & 3.8 \\\60 & 1.2 \\\68 & 2.6 \\\65 & 2.0 \\\\\hline\end{array}$$

Use the square root property to find all real or imaginary solutions to each equation. $$x^{2}-5=0$$

Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$(1-i)-(3+2 i)$$

Solve each formula for the specified variable. The use of the formula is indicated in parentheses. \(a_{n}=a_{1}+(n-1) d\) for \(n\) (arithmetic sequence)

Perform the indicated operations and write your answers in the form \(a+b i,\) where \(a\) and \(b\) are real mombers. $$(6-7 i)-(3-4 i)$$