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3 years ago

10

For the graph shown, select the statement that best represents the given system of equations. 3y – x = 2 9y – 3x = 6

1 answer:

poizon [28]3 years ago

5 0

You can find that out by first putting two equations in slope-intercept form y=mx+b by solving for y.
3y - x = 2
3y = x+2
y = (1/3)x + 2/3

9y = 3x + 6
y = (3/9)x + 6/9
y = (1/3)x + 2/3

They are the same line as you can see in the final step.
Since the two lines are the same line, (they "coincide") they are coincident.
Coincident means there are an infinite number of solutions, and since they are the same line, there are an infinite number of solutions.

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Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

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$k$ - Scale factor.

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First, we proceed to determine the coordinates of the dilated segment:

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$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

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Then, the length of the resulting segment is determined by following Pythagorean identity:

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