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If: y = 17-3x and y = x^2+2x-7

Then: x^2+2x-7 = 17-3x => x^2+5x-24 = 0

Solving the quadratic equation: x = -8 and x = 3

Points of intersection with the parabola: (-8, 41) and (3, 8)

Length of line: square root of [(-8-3)^2+(41-8)^2] = 34.785 to 3 d.p.

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Q: What is the length of the line of y equals 17-3x that spans the parabola of y equals x squared plus 2x -7 showing work and answer to three decimal places?
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