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What is the length of the line x -2y equals 8 that spans the curve xy equals 24 showing work?
Wiki User
∙ 8y ago
If: x-2y = 8 and xy = 24
Then: x = 8+2y and y(8+2y) = 24 => 2y^2+8y-24 = 0
Solving the above quadratic equation: y = 2 or y = -6
Points of intersection of the line with the curve: (-4, -6) and (12, 2)
Length of line: square root [(-4-12)^2 plus (-6-2)^2] = square root of 320 which is about 18 units rounded to the nearest integer
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∙ 8y ago
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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 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 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 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?
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
What are the points of intersection when the line y -x equals 7 spans the curve y equals 8 over x on the Cartesian plane?
If: y -x = 7 Then: y = 7+x If: y = 8/x Then: xy = 8 Therefore it follows that: x(7+x) = 8 So: 7x+x^2 = 8 => 7x^2 -8 = 0 Using the quadratic equation formula: x = -8 or x = 1 By substitution the line intercepts the curve at (-8, -1) and (1, 8)
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?
If you mean: y = 17-3x and y = x^2+2x-7 then the length of the line works out as 11 times square root of 10 or about 34.785 to three decimal places.
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?
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
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 of y equals 17-3x that spans the parabola of y equals x squared plus 2x -7 showing work?
First find the points of intersection of the two equations: 17 - 3x = x2 + 2x - 7 or x2 + 5x - 24 = 0 This has the solutions x = 3 and x = -8 So the coordinates of the two points of intersection are (3,8) and (-8,41). Then, by Pythagoras, the length is sqrt[(3+8)2 + (8-41)2] = sqrt(121 + 1089) = sqrt(1210) = 11 sqrt(10) or 34.785 units (approx).
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 length of brahamputra river?
The Brahmaputra River spans through Bangladesh, China and India.Its source is the Chemayungdung Glacier and and the length of it runs for 1,802 miles.
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?
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
Wing span of a fruit bat?
African Fruit Bats have wing spans up to 6 feet in length .
What are the points of intersection when the line y -x equals 7 spans the curve y equals 8 over x on the Cartesian plane?
If: y -x = 7 Then: y = 7+x If: y = 8/x Then: xy = 8 Therefore it follows that: x(7+x) = 8 So: 7x+x^2 = 8 => 7x^2 -8 = 0 Using the quadratic equation formula: x = -8 or x = 1 By substitution the line intercepts the curve at (-8, -1) and (1, 8)
What is the length of the line and its equation including its perpendicular bisector equation that spans the points of 2 3 and 5 7 on the Cartesian plane showing key stages of work?
Points: (2, 3) and (5, 7)Length: 5 unitsSlope: 4/3Perpendicular slope: -3/4Midpoint: (3.5, 5)Equation: 3y = 4x+1Bisector equation: 4y = -3x+30.5
What is the length of the line and its perpendicular bisector equation that spans the points of 2 3 and 5 7 showing key stages of work?
Points: (2, 3) and (5, 7) Length of line: 5 Slope: 4/3 Perpendicular slope: -3/4 Midpoint: (3.5, 5) Bisector equation: 4y = -3x+30.5 or as 3x+4y-30.5 = 0
