Need to verify my work makes sense.

6. If P = (2, 3), 0 = (8, 11) and R = (x, y), where: x= la+ 8(1 - a), > = 3a+ ll(1 -a),0gasl a) Verify that R is on the line segment PO. b) Verify that dist ( P, R) = (1 - a) - dist(P. Q). 7. You and a friend start out together and hike along the same trail but walk at different speeds, as shown in the figure. speed (mi/hr ) 50 time (min ) a) Who is walking faster at t = 20? b) Who is ahead at : = 20? c) When are you and your friend farthest apart? 8. Defining h(x) = 3, f(x) as: x+lif x