Line m is mapped onto line n by a dilation centered at the origin with a scale factor of 2. The equation of line m is 3x−2y=63x-2y=63x−2y=6 . Find the equation for line n showing all work for full credit.

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  3x -2y = 12

Step-by-step explanation:

The constant in the standard form equation for a line is proportional to the distance of the line from the origin. Dilation by a factor of 2 moves the line to twice its original distance from the origin. The equation of the new line will have the constant 2×6 = 12:

  3x -2y = 12

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Additional comment

The actual distance of line ax+by=c from the origin is ...

  d = |c|/√(a²+b²)

The distance from any point in the plane to the line is ...

  d = |ax +by -c|/√(a²+b²)

The previous equation is for the special case of (x, y) = (0, 0), the distance from the origin.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00