Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. he runs on the treadmill for 30 minutes longer than he does freehand exercises.

part a: write a pair of linear equations to show the relationship between the number of minutes jacob does freehand exercises (y) and the number of minutes he runs on the treadmill (x). (5 points)

part b: how much time does jacob spend doing freehand exercises? show your work. (3 points)

part c: is it possible for jacob to have spent 40 minutes running on the treadmill if he spends exactly 60 minutes total at the gym and runs on the treadmill for 30 minutes longer than he does freehand exercises? explain your reasoning. (2 points)

For a function f(x), a) if f(7) = 22 then f^-1(22) = b) f^-1(f(c)) =

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.

The equation of line e is y  =  -4/9x  +  5/6.  line f is parallelto line e.  what is the slope of line f