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Fittoniya [83]
3 years ago
15

The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x

Mathematics
2 answers:
Feliz [49]3 years ago
7 0
We can substitute the values of x and y to see which equation is satisfied.

A. 12 = 6(2) 
12 = 12, true

B. 12 = 1/2 (2)
12 ≠ 1, false

C. 12 = 2(2)
12 ≠ 4, false

D. 12 = 1/6 (2)
12 ≠ 1/3, false

The answer is A.
Illusion [34]3 years ago
3 0
Substitute the x for 2 and the y for 12 in each equation. The first choice works out. (12)=6(2), 12=12. This means the answer is true. A is your answer.
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Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

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Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

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The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

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