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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?
Wiki User
∙ 13y ago
Coordinates: (-1, 5) and (6, 40)
Length of line: 7 times the square root of 26 which is 35.693 to 3 d.p.
Wiki User
∙ 13y ago
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How can you find the radius of a circle with coordinates?
Work out the length of the coordinates and half it.
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 would a triangle look like if ab plus ac equals bc?
It would be a straight line of length bc
How do you find the length if you have the coordinates and the midpoint?
To work out the length, you need the coordinates of both endpoints. If you have one endpoint and the midpoint, you can treat this as two endpoints and then double the answer you get to calculating the length. To calculate the length, work out the difference in x axis values and difference in y axis values. You then find the square root of (x2+y2). This is the length between the two coordinates.
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 difference between parabola and curve?
A parabola refers to a symmetrical open plane curve that is formed by the intersection of the cone with a plane that is parallel to its side. The curve on the other hand refers to a line that gradually deviates from being straight for some or all of its length.
How can you find the radius of a circle with coordinates?
Work out the length of the coordinates and half it.
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?
It works out exactly as: 7 times the square root of 26
Purpose of finding the area of a parabola?
If you needed to calculate say, the volume of a gutter, it would be the AREA of the cross-section (parabola) multiplied by the length of the gutter.
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 would a triangle look like if ab plus ac equals bc?
It would be a straight line of length bc
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.
How do you find the length if you have the coordinates and the midpoint?
To work out the length, you need the coordinates of both endpoints. If you have one endpoint and the midpoint, you can treat this as two endpoints and then double the answer you get to calculating the length. To calculate the length, work out the difference in x axis values and difference in y axis values. You then find the square root of (x2+y2). This is the length between the two coordinates.
If A equals 7 9 and B equals 3 12 what is the length of line AB?
We suspect that 'A' is not equal to 7 9, but that (7, 9) arethe coordinates of 'A'. Same for 'B'.If that's true, then the two points are 5 units apart.
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).
Do points have length but no height in geometry?
On the Cartesian plane points have coordinates of length and height
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.
