91Ó°ÊÓ

For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. $$(-5,-6)\text { and }(4,2)$$

Find the equation of the line using the point-slope formula. Write all the final equations using the slope-intercept form. \((0,3)\) with a slope of \(\frac{2}{3}\)

For the following exercises, solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions. $$ \sqrt{x-1}=x-7 $$

For the following exercises, find the equation of the line using the point- slope formula. Write all the final equations using the slope-intercept form. $$ (0,3) \text { with a slope of } \frac{2}{3} $$

For the following exercises, perform the indicated operation and express the result as a simplified complex number. $$ (6-2 i)(5) $$

Solve the inequality involving absolute value. Write your final answer in interval notation. $$ |x-20|>-1 $$

For the following exercises, find the equation of the line using the point- slope formula. Write all the final equations using the slope-intercept form. $$ (1,2) \text { with a slope of }-\frac{4}{5} $$

For each of the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. $$(-1,1)\text { and }(7,-4)$$

Paul has \(\$ 20,000\) to invest. His intent is to earn \(11 \%\) interest on his investment. He can invest part of his money at \(8 \%\) interest and part at \(12 \%\) interest. How much does Paul need to invest in each option to make get a total \(11 \%\) return on his \(\$ 20,000 ?\)

Find the equation of the line using the point-slope formula. Write all the final equations using the slope-intercept form. \((1,2)\) with a slope of \(-\frac{4}{5}\)