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Trigonometry Answer Key 1. 5. 140 9 2. x 4 y2 9. 2x 1 x 1 12. 15. x 1 13 4 x 5 (1 x)(1 x) 2 3 3 16. X=2 19. x 14or 14, 20. 4 22. 1, 2 u 3, 23. 25. 90cc of 15% HCL 150cc of 25% HCL 28. A. 2 B. 0 C. (-3,0)u (2, ) D. (0,2) E. Yes F. x-int: (-3,0) and (2,0) y-int: (0,2) 31. 3. y2 x2 6. (2 x 1)(4 x 2 2 x 1) 8. (5x+2)(5x-2) 11. 3 y5 8x x 3 OR 2 3 7 , 2 6 y2 7. ( x 1)( x 1)(2 x 3) 10. x 2 (2 x 1) (2 x 1)( x 3)( x 2) 13. 2 14. x 17. SKIP 18. x 4, 3 2 21. , 3 24. 26. A. no B. f (5) 8 C. Domain: x 29. y x2 16 y 3 4. 11 18 4 ,x=2 3 3,3 2 or 3, 3 27. A. 13 B. f (u 1) 2u 2 7u 4 6 ( x 3) 2 2 30. Horizontal shift Left 1, Vertical Shift Down 7, Vertical Stretch 2 33 1st . A. R( x) 32. A. 5x-l B. x+5 C. 6 x 2 5 x 6 3x 2 D. 2x 3 E. 17 F. -1 G. 17 H. 3 I. 6x-7 J. 6x+1 1 2 x 100 x 2 B. $3750 C. 100 units $5,000 D. $50 33 2nd . A. x-axis symmetry x: (-4,0) y: (0, 2 ) B. No Symmetry x: (1 5, 0)(1 5, 0) 34. y 1 23 x 5 5 37. A. y 6 35. y 36. y 4x 6 38. ( x 1) 2 ( y 2) 2 y: (0,-4) 41 39. 2x 5 104 158 , 15 15 B. x 8 13 7 , 22 22 40. ( 1, 2, 4) 41. 42. 0, 4 43. 250,000 ft 2 44. (1, 3) 45. NONE 46. x x 3, 5 47. A. 9 11i 48. D 4,0 B. 0 i C. 23 11i D. 6 6i 49. 10 3 52. PLANE 550 mph WIND 50 mph 50. B 53. 4 liters 51. f 1 ( x) 3 x 2 1