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GenaCL600 [577]
3 years ago
7

Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

y = 1/2x - 4

Step-by-step explanation:

The x-intercept is when y = 0, so it would be:

-x  + 2 * 0 = 4

-x = 4

x = -4

That means the x-intercept is (0, -4)

The parallel line would have the same slope as this one, so:

-x+2y = 4\\2y = x + 4\\y = 1/2x + 2

The parallel line has a slope of 1/2

So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)

Put it in point slope form:

y - (-4) = 1/2(x - 0)

y + 4 = 1/2x

y = 1/2x - 4

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Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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Sandy asked a printing company to enlarge a drawing to 130% of its original size. If the width of the original drawing was 37 ce
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Simplify this expression: 13 + (–12) – (–5) = ?<br> A. 6<br> B. –6<br> C. –30<br> D. 30
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3 0
4 years ago
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Last year, Shantell bought a car for $24,000. The current value of the car is $21,000. Find the percent decrease in the value of
Morgarella [4.7K]
<span>Last year, Shantell bought a car for 24 000 dollars. It decreases to 21 000 dollars this current year.
Let’s find for the percentage that it decreased.
=> in 24 000 the 50% is 12 000 as we all know since it’s divided by 2. So meaning, the possible answer is less than 50%.
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