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Determine the diameter of the largest circle that can be drawn between the parallel lines y=2x and y=2x-5.

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    What is the distance between them?

    find the perpendicular line

    y=-1/2 x + b
    pick a point on the first line: say, 1,2
    2= -1/2 *1+b
    b=2.5
    y= -.5x+2.5 is the perpendicular line.
    now, what point does this line intersect the second parallel line?
    y=-.5x+2.5
    y=2x-5
    or 2x-5=-.5x+2.5
    2.5x=7.5
    x=3
    y=2x-5=1
    distance between points 1,2 and 3,1
    d= sqrt (2^2 + 1^2)=sqrt5
    check all that math, I did it in my head.

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