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AnnZ [28]
2 years ago
14

Which equation best represents the line that is parallel to 3x -4y=7 and passes through the point (-4,-2)? Select two options.

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

The equation that best represents the line that is parallel to 3x - 4y = 7 and passes through the point (-4, -2)  is y = 3/4x + 1.

Step-by-step explanation:

3x - 4y = 7 and (-4, -2)

First, solve for y in the equation:

3x - 4y = 7

-4y = -3x + 7

4y = 3x - 7

y = 3/4x - 7/4

m = 3/4 (This will be the slope of the parallel line.) and (-4, -2)

Use the point-slope equation to find the equation that will best represent a parallel line:

y − y1 = m(x − x1)

y - -2 = 3/4(x - -4)

y + 2 = 3/4x + 3 (the 4s cancel out)

(3/4 x 4/1 = 3)

y = 3/4x + 1

The graph that I attached is what these two equations would look like graphed. I am not sure what you mean by two options, I'm sorry!

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Which system of equations is consistent and dependent?
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Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

------------------

0  - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

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4x = -8

x = -8/4

x = 2

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−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

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4x = 6

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so the solution is x = 3/2 and y = 3

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2y = −6

we solve for y:

2y = −6

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we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

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so the solution is x = 7/2 and y = -3

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we solve for x:

9x = −6

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x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

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we multiply by 3 to eliminate fractions:

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9y = 19

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so the solution is x = -2/3 and y = 19/9

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we solve for x:

14x = −28

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then we substitute in the first equation:

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then the solution is x = -2 and y = 3

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Answer:

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Step-by-step explanation:

.64 is equal to 64%

In order to convert move the decimal over two spaces and add a percent sign (%).

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kobusy [5.1K]

Ur answer will be - A≈69.65cm².  

<u><em>Hope this helps!!</em></u>

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