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If: y = x2+2x-7 and y = 17-3x

Then: x2+2x-7 = 17-3x

And: x2+5x-24 = 0

When factored: (x+8)(x-3) = 0

Therefore: x = -8 and x = 3

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

Length of line: (3--8)2+(8-41)2 = 1210 and the square root of this is the length of the line which is 11*sq rt of 10 or about 34.785 units to 3 d.p.

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Q: What is the length of the line y equals 17 -3x that intersects with the curve y equals x squared plus 2x -7 showing brief details of your work?
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