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If: y = 4x2-2x-1 and y = -2x2+3x+5

Then the length of the line works out as: 65/18 or 3.6111 ... recurring decimal 1

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Q: What is the length of the line that spans the parabolas of y equals 4x squared -2x -1 and y equals -2x squared plus 3x plus 5?
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What is the length of the line x -y equals 2 that spans the curve x squared - 4y squared equals 5?

The line x-y = 2 intersects with the curve x^2 -4y^2 = 5 at (2.5, 1/3) and (3, 1) and by using the distance formula its length is 5/6


What is the length of the line of y equals 17 -3x that spans the curve of y equals x squared plus 2x -7?

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What is the length of the line y equals 17 -3x that spans the parabola y equals x squared plus 2x -7 showing work?

If: y = x^2 +2x -7 and y = 17 -3x Then: x^2 +2x -7 = 17 -3x => x^2 +5x -24 = 0 Solving the equation: x = 3 or x = 8 Points of intersection: (3, 8) and ( -8, 41) Length of line: square root of 1210 which is about 34.785 to three decimal places


What is the length of the line that spans the curves of y equals 4x squared -2x -1 and y equals -2x squared plus 3x plus 5 showing key stages of work?

If: y = 4x2-2x-1 and y = -2x2+3x+5 Then: 4x2-2x-1 = -2x2+3x+5 So: 6x2-5x-6 = 0 Solving the above quadratic equation: x = -2/3 and x = 3/2 Points by substitution are: (-2/3, 19/9) and (3/2, 5) Length of line is the square root of: (-2/3 -3/2)2+(19/9-5)2 = 65/18


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