Answer:
The slope of the line is 4/2, or 2.
The equation of the line is y + 1 = 2(x − 1)
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Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
Answer:
Step-by-step explanation:
Use the identity 
where 
and 
.
This results in 
From the unit circle we know that 
and 
Substitute
Simplify
Answer:
the answer should be -5x - 30 + 30 y
Answer: 2(34) + 2c = 98
Step-by-step explanation:
C = cost of one canteen
2 pair of boots at $ 34 each plus 2 canteens at (c) each totals $98.
2(34) + 2c = 98
68 +2c = 98. Subtract 68 from both sides. 68 - 68 +2c = 98 -68
2c = 30. Divide both sides by 2.
2c/2 = 30/2
c = 15 so each canteen costs $15
Check: 2 ($34) + 2 ($15) = $98
$68 + $30 = $98
$98 = $98
2C = 98
