Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) " ( ——², ²/3, 1¹) (a) parametric equations (Enter your answers as a comma-separated list.) (5, -3, -2), (b) symmetric equations X Y = 2+2 17 11 9 Z+2 5-x 17 5-x 17 X-5 15 = = y = y + 3 11 y-3 11 = z + 2 9 ==

Give your answers in the form ax + by = c. 1 a AB: y = 2x+ 11; midpoint (-4, 3) b AB: y =-3x + 7; midpoint (6, -11) 2 a AB : y=-x-10; midpoint (-12, 6) 3 b AB : y =x+1; midpoint (10, 5) b AB: 3x – 4y = 9; midpoint (-1, -3) 9 7 4' 2 3. a AB: 4x + 5y = 13; midpoint (2, 1) 4 a AB: 6x – 24y =-37; midpoint b AB: 4x + 12y = 33; midpoint For questions 5 to 8, use the method demonstrated in Worked Example 14.5 to find the equation of the perpendicular bisector of the line segment connecting the given points. Give your answers in the form y=mx +c. 5 a (5, 2) and (13, 6) b (3, 1) and (21, 7) 6 a (-4, 5) and (5, -1) b (-2, -3) and (2, 7) (17 1) a and 21 b 4 and (9 34 7 (2'5, 23 31 and 7 17 (11 13 and 8. a 9 For each of the following Voronoi diagrams, give all the examples of the: i sites iii finite edges ii vertices iv finite cells.

The figure shows the parametric equations and the path for a ball thrown from a height of 5 ft, with an initial speed of 100 ft/s and at an angle of 45° with the horizontal. y (feet) x= (50/2)t y= 5+(50/2)t– 16?? 80 60 40 20 - x (feet) 100 200 300 (a) Compute the x- and y-coordinates of the ball when t = 2, 3, and 4 seconds. (Round the answers to one decimal place.) t = 2 (х, у) (x, y) = ( t = 3 t = 4 (х, у) = (b) How long is the ball in flight? (Round the answer to two decimal places.) sec What is the total horizontal distance traveled by the ball before it lands? (Round to the nearest foot.) ft

Identify what quadrant each ordered pair is located in. A (-12, 9) ь В (-367, —-667) сС (8, 0) Quadrant I Quadrant II Quadrant III Quadrant IV d. D (1, –0.00000001) e. E (0, -100) X-axis у-аxis origin