Exercises 21.1, page 572

1. $\sqrt{61}$ $\sqrt{61}$
3. $150 °$ $150 °$
5. $2 \sqrt{29}$ $2 \sqrt{29}$
7. 3
9. 55
11. $2 \sqrt{41}$ $2 \sqrt{41}$
13. 2.86
15. $\frac{5}{2}$ $\frac{5}{2}$
17. Undefined
19. $- \frac{3}{4}$ $- \frac{3}{4}$
21. $\frac{1}{9}$ $\frac{1}{9}$
23. 0.747
25. $\frac{1}{3} \sqrt{3}$ $\frac{1}{3} \sqrt{3}$
27. $- 0.0664$ $- 0.0664$
29. $20.0 °$ $20.0 °$
31. $98.5 °$ $98.5 °$
33. Parallel
35. Perpendicular
37. $- 2$ $- 2$
39. $- 3$ $- 3$
41. Two sides equal $2 \sqrt{10} .$ $2 \sqrt{10} .$
43. $m_{1} = \frac{5}{12}, m_{2} = \frac{4}{3}$ $m_{1} = \frac{5}{12}, m_{2} = \frac{4}{3}$
45. 10
47. $4 \sqrt{10} + 4 \sqrt{2} = 18.3$ $4 \sqrt{10} + 4 \sqrt{2} = 18.3$
49. (1.5)
51. $(- 2.8, 4.2)$ $(- 2.8, 4.2)$
53. $x^{2} + y^{2} = 9$ $x^{2} + y^{2} = 9$
55. $m_{1} = 1, m_{2} = - 1$ $m_{1} = 1, m_{2} = - 1$
57. $(- \frac{11}{3}, 0)$ $(- \frac{11}{3}, 0)$
59. $(0, - \frac{7}{9})$ $(0, - \frac{7}{9})$
61. No
63. 66.7 mm
65. 1700 km

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Table of Contents for Exercises 21.1, page 572