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What is the length of the line 5x plus 10 -y equals 0 that spans the parabola x square plus 4 -y equals 0 showing key stages of work?
The equations can be rewritten as
line : y = 5x + 10
parabola : y = x2 + 4
They intersect when 5x + 10 = x2 + 4
that is, x2 - 5x - 6 = 0
or (x + 1)(x - 6) = 0
so x = -1 or x = 6
When x = -1, y = 5 so one end of the line is (-1, 5)
when x = 6, y = 40 so the other end is (6, 40)
Then, by Pythagoras, length of line = sqrt[(6 - (-1))2 + (40 - 5)2]
= sqrt[72 + 352] = sqrt[1274] = 35.7 units.
What else can I help you with?
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 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
How do you find length and width of a square showing only the height of the square?
the height is the same as the length and width
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.
Where is the vertex coordinate of the parabola y equals x square -3x -10 located on the Cartesian plane?
7
How do you determine square footage?
Multiplying length by width equals square footage
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
How do you calculate the length of a side of a square whose area equals 8?
area - width = length
If you have a circle inscribed in a square what is the diameter congruent to?
The diameter of the circle equals the length of a side of the square
If the perimeter equals 8 and the length is 2 what polygon is represented?
a square
What is the length of a diagonal of a square with perimeter equals 74?
~26.16 units.
The perimeter of a square equals 4 times the length of a side?
Yes, it does.
