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It works out exactly as: 7 times the square root of 26

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Q: What is the length of the line of y equals 5x plus 10 that joins the parabola of x squared plus 4 at two points?
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Related questions

What is y equals x squared?

it will form a parabola on the graph with the vertex at point (0,0) and points at (1,1), (-1,1), (2,4), (-2,4)......


What are the coordinates of the straight line of y equals 5x plus 10 that meets the parabola of y equals x squared plus 4 at points A and B?

(6, 40) and (-1, 5)


What are points of intersection of the line 3x -y equals 5 with the curve of 2x squared plus y squared equals 129?

Straight line: 3x-y = 5 Curved parabola: 2x^2 +y^2 = 129 Points of intersection works out as: (52/11, 101/11) and (-2, -11)


What is the length of the straight line equation of y equals 17 minus 3x that spans the parabola of y equals x squared plus 2x minus 7 at two distinctive points?

Equations: x2+2x-7 = 17-3x Quadratic equation: x2+5x-24 = 0 Points of intersection: (-8, 41) and (3, 8) Length of line: (-8-3)2+(41-8)2 = 1210 and the square root of this is the length of the line which is about 34.78505426 or to be exact it is 11 times the square root of 10.


What are the points of intersection of the line x -y equals 2 with x squared -4y squared equals 5?

The points of intersection are: (7/3, 1/3) and (3, 1)


What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?

Points of intersection work out as: (3, 4) and (-1, -2)


What are the coordinates and length of the straight line of y equals 5x plus 10 that meets the parabola of y equals x square plus 4 at two points?

Coordinates: (-1, 5) and (6, 40) Length of line: 7 times the square root of 26 which is 35.693 to 3 d.p.


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?

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.


What is the length of the straight line of y equals 5x plus 10 that meets the parabola of y equals x squared plus 4 at points A and B?

y = 5x +10 y = x2+4 Merge the two equations together to form a quadratic equatioin in terms of x. Solving the quadratic equation gives x = -1 or x = 6 So by substituting: when x = -1 then y = 5 and when x = 6 then y = 40 Therefore the line meets the parabola at points (-1, 5) and (6, 40) Length of line is the square root of the sum of (6 - -1)2+(40 -5)2 Length of line = 7 times the square root of 26 which is about 35.693 to 3 d.p.


What is the length of the line y equals 8 -x that meets the curve of y equals x squared plus 4x plus 2 at two distinctive points?

7*sqrt(2) = 9.899 to 3 dp


What are the zeros of a parabola?

They are the x-values (if any) of the points at which the y-value of the equation representing a parabola is 0. These are the points at which the parabola crosses the x-axis.


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