Chapter 13 Review1. 13 2. 10 3. 3, 5 4. (x + 4)2 + (y( − 2)2 = 36 5. x2 + y2 = 152 6. Center = (0, −5); Radius = 3 7. Center = (3, −5); Radius = 6 8. 9.

10. 11.

13.

16.

17. A 18. D 19. C 20. B 21. (x + 3)2 + (y( − 2)2 = 2522. (x − 3)2

______36 + (y( − 1)2

______16 = 1 23.

y2__25 − x

2__9 = 1

Chapter 13 Cumulative Review

1. 8 2. 2 3. a7___2b11 4. x3/2y2 7/6 5. 6xy − 2y2 2 + 3x2

6.y + 4____y − 3 7. 2 8. 3 9. (b3 + 4)(a − 1) 10. (7x + 1)(x − 3)

11. −15 12. 1_2 13. −6, 3 14. −2, 5

15. 11, 2 does not check 16. ∅ ∅ 17. −2 ± 4i√—√√3 ________

7 18. 6 ± i√—√√5

19. x < −4 or x > 0

20. −3_2 < x < 5

21. 22.

23. 24.

25. y__________ (y( + 1)( y( − 2) 26. (x + 3)______

x(x − 1) 27. 13 + 13i 28. 38 − 34i

29. √—

√√5 + √—√√2 30. 20 − √—

√√10 _______13 31. f −1(x) = 1 − 3x x

32. f −1(x) = x − 2____5 33. 1,645.89 34. 0.91 35. x = 2mn − 5______

n

36. y = S − 3x2_____5x − 2 37. 2__

11 38. Slope = 5_6 ; _ y-intercept = − 3

39. −18 40. C(15) = 30; C(30) = 15 41. 2x2xx − 9x + 4 = 0 42. 24t2tt + 29t − 4 = 0 43. −2x + 11 44. −3x2 + 29 45. −12 46. −11 47. 21 48. 32__

25

49. 5 gal of 40%; 45 gal of 90% 50. 2 gal of 10%; 6 gal of 70% 51. 178,660 people 52. 1,978,488 people

Chapter 13 Test1. 5 2. 4 √—

√√5 3. 7, −1 4. (x − 3)2 + (y( + 1)2 = 16 5. x2 + y2 = 169 6. Center = (0, 1); Radius = 6 7. Center = (2, −4); Radius = 38. 9.

10. 11.

y

x x

y

(−9, 9

x

y

((0, 9)0, 9))

−x

y

x x

14. (0, 5), (25__13 , − _ 60__

13)

15. (0, −5_2) , (2, 3_2) , (−2, 3_2)

x

−4 0

−− 532

x−

(−10,10,

y y