Home
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?
Wiki User
Answered 2013-04-17 14:36:13
It works out exactly as: 7 times the square root of 26
Your Answer
Still Have Questions?
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 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 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 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 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 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)
How many vertices points and edges does a parabola have?
A parabola has one vertex (but not in the sense of an angle), infinitely many points and no edges.
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 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 name of the point you use to define a parabola?
All of the points on a parabola define a parabola. However, the vertex is the point in which the y value is only used for one point on the parabola.
Where are the points of intersection of the equations 4y squared -3x squared equals 1 and x -2y equals 1?
The points of intersection of the equations 4y^2 -3x^2 = 1 and x -2 = 1 are at (0, -1/2) and (-1, -1)
An equilateral triangle is inscribed in a parabola with its vertex at the vertex of the parabola how do you find the length of the equilateral triangle?
First you need more details about the parabola. Then - if the parabola opens upward - you can assume that the lowest point of the triangle is at the vertex; write an equation for each of the lines in the equilateral triangle. These lines will slope upwards (or downwards) at an angle of 60°; you must convert that to a slope (using the tangent function). Once you have the equation of the lines and the parabola, solve them simultaneously to check at what points they cross. Finally you can use the Pythagorean Theorem to calculate the length.
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 y equals -x2 plus 4?
This is a parabola pointing 'down'. It's apex is at the point (4,0). It crosses the x-axis at the points (2,0) and (-2,0)
What is the answer to y equals x2?
I'm guessing you mean y = x², which is the equation of a parabola. There is no one answer. Every point which lies on the parabola is the solution set to the equation. Some examples of points which satisfy this are: (0,0) (1,1) (2,4) (-3,9) (-5,25) and (½,¼)
What is the directrix of a parabola?
"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm
Which graph could be used to find the solution of the system of equations y equals 2x plus 6 and y equals x2 plus 4x plus 3?
One way would be to graph the two equations: the parabola y = x² + 4x + 3, and the straight line y = 2x + 6. The two points where the straight line intersects the parabola are the solutions. The 2 solution points are (1,8) and (-3,0)
How do you explain the length of line segment using Pythagoras theorem?
Consider the line segment between the points of (6, 8) and (3, 4) Using Pythagoras' theorem its length is: (6-3)squared+(8-4)squared = 25 So the square root of 25 is 5 which is the length of the line
What is the length of the line of y equals 5x plus 10 that stretches across the parabola of y equals x squared plus 4 showing work?
If: y = x2+4 and y = 5x+10 Then: x2+4 = 5x+10 And: x2-5x-6 = 0 Solving the above quadratic equation: x = -1 or 6 So: when x = -1 then y = 5 and when x = 6 then y = 40 Points of intersection: (-1, 5) and (6, 40) Length of line: the square root of [(6--1)2+(40-5)2] = 35.693 to 3 d.p.
What are the points of intersection of the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 on the Cartesian plane?
The points are (-1/3, 5/3) and (8, 3).Another Answer:-The x coordinates work out as -1/3 and 8Substituting the x values into the equations the points are at (-1/3, 13/9) and (8, 157)
How do you draw a parabola on an equilateral triangle?
To graph a parabola you must find the axis of symmetry, determine the focal distance and write the focal as a point, and find the directrix. These are all the main points you need to be able to draw a parabola.
Still have questions?
