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Answer:
Step-by-step explanation:
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Answer:
y = x - 5
Step-by-step explanation:
Equation of any two parallel lines differ only by a constant.
Therefore, the equation of the line parallel to
would be ax + by + c₂ = 0.
The equation of the line parallel to
should be equal to
x - y + c = 0.
Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.
⇒ 3 -(-2) + c = -5 + c = 0
⇒ c = - 5.
Substituting we get: x - y - 5 = 0
⇒ y = x - 5 is the required equation of the line.
Answer:
114
Step-by-step explanation:
You will need to multiply L x W and then add them all
Answer: For the sum of 130
First: $90
Second: $40
Step-by-step explanation:
We write equations for each part of this situation.
<u>The Total Charge</u>
Together they charged 1550. This means 1550 is made up of the first mechanics rate for 15 hours and the second's rate for 5 hours. Lets call the first's rate a, so he charges 15a. The second's let's call b. He charges 5b. We add them together 15a+5b=1550.
<u>The Sum of the Rates</u>
Since the first's rate is a and the second is b, we can write a+b=130 since their sum is 130.
We solve for a and b by substituting one equation into another. Solve for the variable. Then substitute the value into the equation to find the other variable.
For a+b=130, rearrange to b=130-a and substitute into 15a+5b=1550.
15a + 5 (130-a)=1550
15a+650-5a=1550
10a+650-650=1550-650
10a=900
a=$90 was charged by the first mechanic.
We substitute to find the second mechanic's rate.
90+b=130
90-90+b=130-90
b= $40 was charged by the second mechanic