AN1 Answers CHAPTER 1 Graphs 1.1 Assess Your Understanding (page 10) 3. x-coordinate or abscissa; y-coordinate or ordinate; quadrants 4. F 5. d 6. c 7. (a) quadrant II (b) x-axis (c) quadrant III (d) quadrant I (e) y-axis (f) quadrant IV y 6 x 7 D 5 (6, 5) B 5 (6, 0) A 5 (23, 2) E 5 (0, 23) F 5 (6, 23) C 5 (22, 22) 9. The points will be on a vertical line that is 2 units to the right of the y-axis. y 5 x 5 (2, 4) (2, 1) (2, 0) (2, 23) (2, 21) 11. ( ) −1, 4 ; quadrant II 13. ( ) 3, 1 ; quadrant I 15. = − = = X X X min 11, max 5, scl 1, = − = = Y Y Y min 3, max 6, scl 1 17. = − = = X X X min 30, max 50, scl 10, = − = = Y Y Y min 90, max 50, scl 10 19. = − = = X X X min 10, max 110, scl 10, = − = = Y Y Y min 10, max 160, scl 10 21. = − = = X X X min 6, max 6, scl 2, = − = = Y Y Y min 4, max 4, scl 2 23. =− = = =− = = X X X Y Y Y min 6, max 6, scl 2, min 1, max 3, scl 1 25. = = = = = = X X X Y Y Y min 3, max 9, scl 1, min 2, max 10, scl 2 27. ( ) 0, 0 is on the graph. 29. ( ) 0, 3 is on the graph. 31. ( ) 0, 2 and ( ) 2, 2 are on the graph. 33. ( ) ( ) −1, 0 , 1, 0 35. π π ( ) ( ) ( ) − 2 ,0 , 0,1 , 2 , 0 37. ( ) ( ) ( ) − 0,2, 1,0, 0, 2 39. ( ) ( ) ( ) ( ) − − − 4,0, 1,0, 0, 3, 4,0 41. y 5 x 5 (22, 0) (0, 2) y 5 x 1 2 43. y 10 x 10 (24, 0) (0, 8) y 5 2x 1 8 45. y 5 x 5 (21, 0) (0, 21) (1, 0) y 5 x2 2 1 47. y 5 x 5 (22, 0) (0, 4) (2, 0) y 5 2x2 1 4 49. y 5 x 5 (0, 2) (3, 0) 2x 1 3y 5 6 51. y 10 x 10 (22, 0) (0, 9) (2, 0) 9x2 1 4y 5 36 53. x-intercept: 6.5 y-intercept: −13 10 220 25 10 55. x-intercepts: −2.74, 2.74 y-intercept: −15 15 215 24 4 57. x-intercept: 14.33 y-intercept: −21.5 10 225 24 20 59. x-intercepts: −2.72, 2.72 y-intercept: 12.33 15 210 25 5 61. ( ) 5, 3 63. (a) 25 feet (b) 23.2 feet; 34.1 feet (c) ( ) 0, 6 , The shot is released at a height of 6 feet; ( ) 48.7, 0 , the shot hits the ground after traveling a horizontal distance of 48.7 feet. 65. (a) $19.95; $19.95 (b) $182.45 (c) ( ) 0, 19.95 , The membership plan costs $19.95 per month. 67. ( ) ( ) ( ) ( ) − − 1,0, 1,0, 0, 1, 0,1 1.2 Assess Your Understanding (page 17) 7. midpoint 8. F 9. T 10. a 11. 5 13. 10 15. 2 17 17. 130 19. 10 21. ≈ 6.89 2.62 23. + a b 2 2 25. ( ) = d A B , 13 ( ) = d B C , 13 ( ) = d A C , 26 ( ) ( ) ( ) + = 13 13 26 2 2 2 = Area 13 2 square units y 5 x 5 B (1, 3) A ( 2, 5) C ( 1, 0) 27. ( ) = d A B , 130 ( ) = d B C , 26 ( ) = d A C , 2 26 ( ) ( ) ( ) + = 26 2 26 130 2 2 2 = Area 26 squareunits y 10 x 10 A ( 5, 3) C (5, 5) B (6, 0) 29. ( ) = d A B , 4 ( ) = d B C , 41 ( ) = d A C , 5 ( ) + = 4 5 41 2 2 2 = Area 10 squareunits y 5 x 5 C (4, 2) A (4, 3) B (0, 3) 31. ( ) 4, 0 33. ( ) 7 2 , 2 35. ( ) − 8, 2 37. ( ) a b 2 , 2 39. ( ) 4 10; 3,9 41. ( ) − 2 65; 0, 1 43. ( ) ( ) − 3, 13 , 3,11 45. ( ) ( ) + − 4 33,0; 4 33,0 47. ( ) 8, 7 49. ( ) 1, 2 51. 17; 2 5; 29 53. ( ) ( ) ( ) = = = d P P d P P d P P , 6; , 4; , 2 13; 1 2 2 3 1 3 right triangle 55. ( ) ( ) ( ) = = = d P P d P P d P P , 2 17; , 34; , 34; 1 2 2 3 1 3 isosceles right triangle 57. ≈ 90 2 127.28 ft 59. (a) ( ) 90, 0 , ( ) 90, 90 , ( ) 0, 90 (b) ≈ 5 2161 232.43 ft (c) ≈ 30 149 366.20 ft 61. = d t 75 mi 63. (a) ( ) 2.65, 1.6 (b) Approximately 1.285 units 65. $25,314; an underestimate 67. ( ) s s 2 , 2
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