\\ 16 In Exercises 22 - 29, find the dista which connects them. 22, 24, 26. 28. 30. 31. 32. 33. 34. 35. 36. 37. RELATIONS AND Func 1ce d between the points and the midpoint M of the line s (1,2), (=3,5) 23. (3,-10), (-1,2) 1) (2-) s o) bl 1 25. | =, = z (? 2 ; ( 3'2)' (3'2) 24 6 il 9 5 'g ) __547_3 . 27. ('\\/_21 )1 (_\\/gwm) (2v45, V12), (v20, v27). 29. (0,0), (z,y) Find all of the points of the form (z,1) which are 4 units from the point (3, 2). Find all of the points on the y-axis which are 5 units from the point (5, 3). Find all of the points on the z-axis which are 2 units from the point (1,1). Find all of the points of the form (z, x) which are 1 unit from the origin. Let's assume for a moment that we are standing at the origin and the positive y-axis due North while the positive z-axis points due East. Our Sasquatch-o-meter tells t Sasquatch is 3 miles West and 4 miles South of our current position. What are the coorc of his position? How far away is he from us? If he runs 7 miles due East what would h position be? Verify the Distance Formula 1.1 for the cases when: (a) The points are arranged vertically. (Hint: Use P(a,y,) and Q(a,y,).) (b) The points are arranged horizontally. (Hint: Use P(z,,b) and Q(z,,b).) (c) The points are actually the same point. (You shouldn't need a hint for this one.) Verify the Midpoint Formula by showing the distance between P(z,,,) and M a distance between M and Q(z,,,) are both half of the distance between P and Q. Show that the points A, B and C below are the vertices of a right triangle. (a) A(-3,2), B(6,4), and C(1,8) (b) A(-3,1), B(4,0) and C(0,-3)