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What is the length of the straight line of y equals 5x plus 10 that spans the parabola of y equals x squared plus 4 showing all work to 3 decimal places?
Wiki User
∙ 10y ago
1 If: y = 5x+10 and y = x2+4
2 Then: 5x+10 = x2+4
3 So then: x2-5x-6 = 0
4 Solving the above quadratic equation: x = -1 and x = 6
5 Substitution: when x = -1 then y = 5 and when x = 6 then y = 40
6 End points of the line are: (-1, 5) and (6, 40)
7 Distance of the line is the square root of (-1-6)2+(5-40)2 = 7*sq rt of 26
8 Length of line to 3 decimal places: 35.693
Wiki User
∙ 10y ago
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How do you create an equation for a parabola?
An equation for a parabola always has some type of irregular variable, usually a squared variable or higher.
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-3
What is the curvature of y equals x squared?
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