On the coordinate plane shown below, points g and i have coordinates (6,4) and (3,2), respectively.

a. design a strategy in which the pythagorean theorem is used to calculate the straight line distance between points g and i on a coordinate plane. use complete sentences to describe the strategy.

b. use the pythagorean theorem to determine the distance between the two points on the coordinate plane. in your final answer, include all of your calculations.

c. use the distance formula and the coordinates of points g and i to prove that the pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. in your final answer, include all of your calculations.

For problems 7–10, state a reasonable domain for the problem statement, find the inverse function f –1(x), and identify the independent and dependent quantities of the inverse. 7. gary is jogging. the total distance he has traveled, in miles, can be estimated using the function f(x) = 9x, where x is his jogging time in hours. 8. camryn sells computers. she earns commission for her computer sales plus a fixed wage for each day she works. her daily earnings, in dollars, can be estimated using the function f(x) = 0.15x + 50, where x represents her computer sales in dollars. 9. the distance a motorboat travels, in meters, can be estimated using the equation f(x) = 1.9x2, wherexisthetimeinseconds,for0≤x≤10. 10. a rock band is selling tickets to a concert at a theater. the band earns money for each ticket sold, but has to pay some of the earnings to the theater. the total money earned by the band can be estimated using the function f(x) = 7.5x – 300, where x is the number of tickets sold.