45a. Sample:

b. The locus is the ⊥ up tack bis. of the base except for the midpt. of the base. c. Sample explanation: The vertex of the isosc. Δ cap delta must be equidistant from the endpoints of the base, and all the points (in a plane) that are equidistant from two points lie on the ⊥ up tack bis. of the segment whose endpoints are the two given points.

47. The locus is a circle of radius 11 cm, concentric with the original. 58. ( x − 6 ) 2 + ( y + 10 ) 2 = 25 open x minus . 6 , close squared , plus , open y plus . 10 , close squared . equals 25

59. ( x − 1 ) 2 + ( y − 7 ) 2 = 36 open x minus . 1 , close squared , plus , open y minus . 7 , close squared . equals 36

60. ( x + 8 ) 2 + ( y + 1 ) 2 = 13 open x plus . 8 , close squared , plus , open y plus . 1 , close squared . equals 13 61. 510  in . 2 510 , in , . squared

62. 175.9   ft 2 175.9 , , ft squared 63. 4 π units 2 4 pi , units squared

64. 64 π 5   units 2 fraction 64 pi , over 5 end fraction , , units squared 65. 10 π units 2 10 pi , units squared

Chapter Review pp. 811–814

1. secant of 2. chord 3. tangents to 4. inscribed ∠ angle 5. locus 6. 20 units 7. 3 square root of 3 8. 120 9. 90 10. 2 : 1 or 2 1 2 over 1 11. A B ¯ eh b bar is a diameter of the circle. 12. 4.5 13. 181 2 ≈ 6.7 fraction square root of 181 , over 2 end fraction , almost equal to 6.7 14. a = 80 , b = 40 , c = 40 , d = 100 eh equals 80 , comma , b equals 40 , comma , c equals 40 , comma , d equals 100 15. a = 40 , b = 140 , c = 90 eh equals 40 , comma , b equals 140 , comma , c equals 90 16. a = 118 , b = 49 , c = 144 , d = 98 eh equals 118 , comma , b equals 49 , comma , c equals 144 , comma , d equals 98 17. a = 90 , b = 90 , c = 70 , d = 65 eh equals 90 , comma , b equals 90 , comma , c equals 70 , comma , d equals 65 18. 37 19. a = 95 , b = 85 eh equals 95 , comma , b equals 85 20. 6.5 21. 4 22. x 2 + ( y + 2 ) 2 = 9 x squared , plus , open y plus . 2 , close squared . equals 9 23. ( x − 3 ) 2 + ( y − 2 ) 2 = 4 open x minus . 3 , close squared , plus , open y minus . 2 , close squared . equals 4 24. ( x + 3 ) 2 + ( y + 4 ) 2 = 25 open x plus . 3 , close squared , plus , open y plus . 4 , close squared . equals 25 25. ( x − 1 ) 2 + ( y − 4 ) 2 = 9 open x minus . 1 , close squared , plus , open y minus . 4 , close squared . equals 9 26. center ( 7 , − 5 ) ; open 7 comma negative 5 . close semicolon radius 6 27. The locus is the ray that bisects the ∠ . angle . 28. The locus is a circle, concentric with the given circle, with radius 7 cm. 29. The locus is two lines, one on each side of the given line and ∥ parallel to to it, each at a distance of 8 in. from the given line. 30. The locus consists of a cylinder with radius 6 in. that has A B ¯ eh b bar as its centerline, along with two hemispheres with centers A and B, each with radius 6 in.

Skills Handbook

p. 824 1. Answer may vary slightly due to measuring method. Sample: 20 mm; 25 mm

3.

p. 825 1. right, scalene 3. obtuse, isosceles 5. Not possible; a rt. Δ cap delta will always have one longest side opposite the rt. ∠ . angle .

7.

9.

p. 826 1. 0.4 3. 600 5. 1008 7. 15,000 9. 34,000 11. 4.3 13. 56 15. 3.9 17. 1,080,000 19. 12.6 21. 144 4 9 144 , and 4 ninths 23. 3125 4356 3125 over 4356

p. 827 1. 23 1 2  ft 23 , and 1 half , ft to 24 1 2  ft 24 , and 1 half , ft 3. 339 1 2 mL 339 , and 1 half , mcap l to 340 1 2 mL 340 , and 1 half , mcap l 5. 73.15 mm to 73.25 mm 7. 10.8 cm to 11.2 cm

9. 208 cm

p. 828 1. 18% 3. 1% 5. ≈ 9 almost equal to 9 % 7. ≈ 2 almost equal to 2 %

p. 829 1. 121 3. 26.01 5. − 36 negative 36 7. 10 9. 8.6 11. 2 3 2 thirds 13. ± 7 plus minus 7 15. ± 1 plus minus 1 17. ± 6 plus minus 6 19. ± 5 plus minus 5

p. 830 1. − 50 negative 50 3. 15 5. 2 7. 36 9. − 2 negative 2 11. 243 13. − 20 negative 20 15. − 4 negative 4 17. 2 x + 3 2 x plus 3 19. − 4 x − 7 negative , 4 x minus 7 21. − 4 x 2 + 8 x negative , 4 , x squared . plus 8 x 23. − 3 t 2 + 4 t negative , 3 , t squared . plus 4 t 25. 1 − 2 r + r 2 1 minus . 2 r plus . r squared 27. 7 h − 1 7 h minus 1 29. 2 x 2 + 7 x − 4 2 , x squared , plus , 7 x minus 4 31. 2 y 2 − 3 y 2 , y squared . negative 3 y

p. 831 1. 5 3 5 thirds 3. 2 3 2 thirds 5. 1 2 x fraction 1 , over 2 x end fraction 7. 22 x 35 fraction 22 x , over 35 end fraction 9. 16y 11. x + 1 2 fraction x plus 1 , over 2 end fraction 13. 1 10 t fraction 1 , over 10 t end fraction 15. 3 y 2 fraction 3 y , over 2 end fraction 17. π r + π fraction pi , over r plus pi end fraction 19. 5 12 5 twelfths 21. 5 13 5 thirteenths 23. 12 5 12 over 5

p. 832 1. 8 3. 22 5. − 5 negative 5 7. − 10 negative 10 9. 13 11. 10 13. − 16 negative 16 or 16 15. − 20 negative 20 or 20

p. 833 1. ( 0 , − 3 ) open 0 comma negative 3 . close 3. (4, 3)

5–8.

9. y-axis 11. x-axis

p. 834 1. 5 3. 3 5. 2 3 2 thirds 7. 1 2 1 half 9. − 5 negative 5 11. − 12 negative 12 13. 35 − 2 x = 9 ; 35 minus . 2 x equals 9 , semicolon 13

p. 835 1. 0.5 3. 0.06 5. 1.09 7. 8.4 9. 7.2 11–14. Answers may vary. Samples are given. 11. 7 13. 45

p. 836 1. 1 2 1 half 3. 2 7 2 sevenths 5. 4 13 4 thirteenths 7. 1 6 1 sixth 9. 1 2 1 half 11. 1 3 1 third 13. 3 8 3 eighths 15. 1 2 1 half 17. 1 4 1 fourth

Table of Contents