Answer: 
This is the same as writing y < (-1/2)x+3
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Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing 
We shade below the dashed line to represent the inequality . Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.
880, theres no change in between, only after every 13 years
By Pythagoras AB^2 = 12^2 - 6^2 = 108
AB = sqrt 108 = 10.39 to nearest hundredth
The perpendicular from M to DC will be parallel and equal to AB so it = 10.39.
Also AB^2 = CB * DB
108 = 6 * DB
DB = 108/6 = 18
so DC = 18-6 = 12
MD^2 = (1/2*12)^2 + 108 = 144
so MD = 12
Answer:
1. 87
A77
B24
C93
D47
E 31
F 48
2. 160
A10
B20
C30
D40
E 50
F 60
3. 68
A851
B295
C302
D574
E 112
F 638
4. 174
A3
B4
C5
D 6
E 7
F 8
5. a
A180-a
B180/2
C 179*a
D 179+a
E 60
F pi
Find the complementary angles of the following.
6. 53
A90
B32
C 25
D 45
E 18
F 37
7. 12
A46
B78
C98
D31
E 52
F 64
8. 73.5
A16.5
B34.2
C29.4
D17.7
E 57.9
F 11.3
9. 23.7
A66.3
B70.1
C42.5
D83.9
E 54.8
F 36.2
10. a
A90/a
Ba-90
Ca/2
D90-a
E 90-2
F a^2
Two of the angles are listed. Find the measure of the third angle in each triangle. Similar to example 6
11. 16,42
A256
B421
C107
D510
E 122
F 329
12. 90, 30
A23
B42
C47
D60
E 71
F 89
13. 43, 118
A12
B34
C19
D57
E 11
F 27
14. 60, 60
A15
B90
C29
D60
E 30
F 45
15. 14, 123
A73
B25
C38
D19
E 43
F 13
16. 68, 86
A45
B56
C26
D19
E 32
F 82
17. 55, 77
A18
B37
C62
D57
E 20
F 48
18. a, (a + 80)
A100 - 2a
B112 - 7a
C182 - 2a
D254 - 5a
E 311 - 3a
F 302 - 1a
19. x, (x + 20)
A189 - 7x
B167 - 1x
C114 - 5x
D160 - 2x
E 124 - 2x
F 142 - 1x
20. m, 2m
A172 - 2m
B187 - 7m
C124 - 4m
D143 - 1m
E 164 - 9m
F 180 - 3m
1. C
2. B
3. E
4. D
5. D
6. F
7. B
8. A
9. A
10. B
11. D
12. A
13. D
14. B
15. A
16. C
17. F
18. A
19. D
20. F
Step-by-step explanation:
Answer:
The speed of the boat in still water is 10 miles / hour
Step-by-step explanation:
The trip there, and the trip back are the same -- 30 miles
Let the rate of the boat = x
Let the rate of the water = y
30 = 2*(x + y)
30 = 6*(x - y)
Divide the top equation by 2
Divide the bottom equation by 6
15 = x + y
<u>5 = x - y </u> Add the equations together.
20 = 2x Divide by 2
20/2 = x
x = 10
