# math

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a rope was tied to trees at both ends the curve of the rope can be modelled by the equation
y=x^2-12x where y is the height and x is the horizontal distance both in feet how far apart are the trees how do you know. show your work

• math -

y = x^2 -12x +36 -36
= (x-6)^2 -36

There is a minimum rope height (y=-36) at x = 6 feet. That would be the middle of the rope, so the distance apart is 12 feet

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