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Elena L [17]
2 years ago
8

Constant of proportionality?

Mathematics
1 answer:
Anna11 [10]2 years ago
6 0

Answer:

12

Step-by-step explanation:

uhh division

hope this helped! :)

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A train travels at a constant speed for a long distance. Compete the two statements that describe the constants of proportionali
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7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
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9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

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Substituting into the first equation gives ...

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__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

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  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

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2 years ago
What is the position of 7 in the number 876,543?
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A. The ten-thousands place.
If you write it out its Eight hundred seventy six thousand, five hundred forty three.
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3 years ago
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