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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?
Wiki User
∙ 8y ago
The points are (-1/3, 5/3) and (8, 3).
Another Answer:-
The x coordinates work out as -1/3 and 8
Substituting the x values into the equations the points are at (-1/3, 13/9) and (8, 157)
Wiki User
∙ 8y ago
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What is x squared plus 25 times y squared equals 50?
It is the Cartesian equation of an ellipse.
What are the points of intersection of the parabolas y equals x squared -2x plus 4 and y equals 2x squared -4x plus 4?
If: y = x^2 -2x +4 and y = 2x^2 -4x +4 Then: 2x^2 -4x +4 = x^2 -2x +4 Transposing terms: x^2 -2x = 0 Factorizing: (x-2)(x+0) => x = 2 or x = 0 Therefore by substitution points of intersect are at: (2, 4) and (0, 4)
Assuming A squared plus b squared equals c squared and a equals 10 and b equals 30 what is c?
C equals the square root of 1000 or 31.622776601683793319988935444327...
What is 93 squared?
93 squared equals 8,649.
What is 62 squared?
62 squared equals 3,844.
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)
What is the point of intersection of the parabolas of y equals 3x squared plus 10x plus 11 and y equals 2 -2x -x squared?
They intersect at the point of: (-3/2, 11/4)
What is x squared plus 25 times y squared equals 50?
It is the Cartesian equation of an ellipse.
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 is the point of intersection of the lines 6y equals -x -25 and 6x plus 20.5 -y equals 0?
It works out that the point of intersection is at (-4, -3.5) on the Cartesian plane.
Where are the points of intersection of the parabolas y equals x squared plus 3x -10 and y equals -x squared -8x -15 when plotted on the Cartesian plane?
If: y = x^2 +3x -10 and y = -x^2 -8x -15 Then: x^2 +3x -10 = -x^2 -8x -15 Transposing terms: 2x^2 +11x +5 = 0 Factorizing the above: (2x +1)(x +5) = 0 meaning x = -1/2 or -5 Therefore by substitution points of intersection are at: (-1/2, -45/4) and (-5, 0)
Where are the points of intersection of the parabolas y equals plus 4x squared -2x -1 and y equals -2x squared plus 3x plus 5 on the Cartesian plane showing details of work?
If: y = 4x2-2x-1 and y = -2x2+3x+5 Then: 4x2-2x-1 = -2x2+3x+5 And so: 6x2-5x-6 = 0 Using the the quadratic equation formula: x = -2/3 and x = 3/2 Substitution: when x = -2/3 then y = 19/9 and when x = 3/2 then y = 5 Points of intersection: (-2/3, 19/9) and (3/2, 5)
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)
Where do the parabolas of y equals x squared plus 20x plus 100 and y equals x squared minus 20x plus 100 meet on the x and y axis?
They touch each other at (0, 100) on the x and y axis.
What are the points of intersection of the line 2x plus y equals 5 with x squared minus y squared equals 3 on the Cartesian plane showing work?
Improved Answer:-If: 2x+y = 5 and x^2 -y^2 = 3Then by rearranging: y = 5 -2x and -3x^2 -28+20x = 0Solving the above quadratic equation: x = 2 and x = 14/3By substitution points of intersection are: (2, 1) and (14/3, -13/3)
Why is it that the parabolas of y equals x squared -4x plus 8 and y equals 8x -14 - x squared can never intersect with each other giving reasons why not?
Because when collated together the discriminant of b2-4ac = -32 i.e. 144-(4*2*22) = -32 In order for the parabolas to make contact with each other the discriminant must equal zero or be above zero.
What are the points of intersection of the parabolas y equals 4x squared -2x -1 and -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 quadratic equation: x = -2/3 or x = 3/2 Points of intersection by substitution: (-2/3, 19/9) and (3/2, 5)
