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natali 33 [55]
2 years ago
15

Use Structure A line passes through points Aln, 4) and B(6, 8) and is parallel to y = 2x - 5. What is the value of n?

Mathematics
1 answer:
artcher [175]2 years ago
8 0

Step-by-step explanation:

From y=2x-5, gradient=2

<u>C</u><u>h</u><u>a</u><u>n</u><u>g</u><u>e</u><u> </u><u>i</u><u>n</u><u> </u><u>y</u><u> </u>= Gradient

Change in x

<u>8</u><u>-</u><u>4</u><u> </u>=2

6-n

4 = 2(6-n)

4 =12 -2n

4 - 12 = -2n

-8 = -2n

<u>-</u><u>8</u> =n

-2

n= 4

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Rufina [12.5K]

Answer:

y\leq -x+4

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be y=-x+4

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that y\leq -x+4 would be the equation for this inequality.

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3 years ago
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lisabon 2012 [21]

Answer:

If you are looking for x your answer will be x=2

5 0
2 years ago
Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?
Delvig [45]
Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

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You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.
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3 years ago
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