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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?
Wiki User
∙ 7y ago
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
Wiki User
∙ 7y ago
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What is the length of the line x -2y equals 8 that spans the curve xy equals 24 showing work?
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
What is the perpendicular bisector equation of the line y equals 17 -3x that spans the parabola of y equals x squared plus 2x -7?
In its general form of a straight line equation the perpendicular bisector equation works out as:- x-3y+76 = 0
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 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 are the points of intersection of the line y equals 5x plus 10 that spans the parabola y equals x squared plus 4 and its length?
If: y = x^2+4 and y = 5x+10 Then: x^2+4 = 5x+10 So: x^2-5x-6 = 0 => x = -1 or x = 6 Points of intertsection by substitution: (6, 40 and (-1, 5) Length of line: sq rt of (6--1)^2+(40-5)^2 = 7 times sq rt 26 or 35.693 to 3 d.p.
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 x -2y equals 8 that spans the curve xy equals 24 showing work?
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
What is the perpendicular bisector equation of the line y equals 17 -3x that spans the parabola of y equals x squared plus 2x -7?
In its general form of a straight line equation the perpendicular bisector equation works out as:- x-3y+76 = 0
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 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
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 are the points of intersection of the line y equals 5x plus 10 that spans the parabola y equals x squared plus 4 and its length?
If: y = x^2+4 and y = 5x+10 Then: x^2+4 = 5x+10 So: x^2-5x-6 = 0 => x = -1 or x = 6 Points of intertsection by substitution: (6, 40 and (-1, 5) Length of line: sq rt of (6--1)^2+(40-5)^2 = 7 times sq rt 26 or 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 line x -y equals 10 that spans the curve x squared plus y squared plus 4x plus 6y -40 equals 0 showing work?
If: x^2+y^2+4x+6y-40 = 0 and x-y =10 or as x = 10+y Then: (10+y)^2+y^2+4(10+y)+6y-40 = 0 Thus: 100+20y+y^2+y^2+40+4y+6y-40 = 0 Collecting like terms: 2y^2+30y+100 = 0 or as y^2+15y+50 = 0 When factored: (y+5)(y+10) = 0 So: y = -5 or y = -10 By substitution equations intersect at: (0, -10) and (5, -5) Length of line is the square root of: (5-0)^2 plus (-5--10)^2 = square root of 50 Therefore length of line is: square root of 50 or about 7.071 to three decimal places
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.
