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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
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