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What is the length of the line 5x plus 10 -y equals 0 that spans the parabola y equals x squared plus 4 showing work and answer to the nearest integer?
Wiki User
∙ 8y ago
If: y = x^2 +4 and 5x+10-y = 0 or y = 5x+10
Then: x^2 +4 = 5x +10 or x^2-5x-6 = 0
Solving the above quadratic equation: x = -1 or x = 6
By substitution end points of the line are at: (6, 40) and (-1, 5)
Length of line is the square root of: (-1-6)^2 plus (5-40)^2 = 36 rounded
Wiki User
∙ 8y ago
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