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Chapter 9: Exercises with Answers

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976 <strong>Chapter</strong> 9 Radical Functions<br />

9.6 <strong>Answers</strong><br />

1. Yes, because 8 2 + 15 2 = 17 2<br />

3. No, because 8 2 + 9 2 ≠ 17 2<br />

5. Yes, because 12 2 + 35 2 = 37 2<br />

43.<br />

a) In the figure that follows, XP = XQ.<br />

y<br />

10<br />

7. No, because 11 2 + 17 2 ≠ 28 2<br />

9. 4<br />

11. 4 √ 3<br />

P (0,5)<br />

X(x,y)<br />

y=(1/2)x<br />

13. 2 √ 2<br />

x<br />

−5 10<br />

15. 5 √ 3<br />

17. The legs have lengths 3 and 4.<br />

19. The legs have lengths 8 and 15 centimeters.<br />

21. (3, 4, 5), (5, 12, 13), and (7, 24, 25),<br />

<strong>with</strong> m = 3, 5, and 7, respectively.<br />

23. 21.63 ft<br />

25. 32.25 ft<br />

27. 26.62 ft<br />

−5<br />

b) y = (1/2)x<br />

Q(4,−3)<br />

29.<br />

31.<br />

33.<br />

35.<br />

37.<br />

√<br />

205<br />

√<br />

37<br />

√ √<br />

234 = 3 26<br />

√<br />

17<br />

√ √<br />

250 = 5 10<br />

39. k = 3, −1.<br />

41. k = 1, 3.<br />

Version: Fall 2007

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