0
What are the coordinates when the parabolas of y equals 1 -x squared -8x -16 and y equals x squared plus 3x -10 intersect with each other on the Cartesian plane?
Wiki User
∙ 6y ago
If: y = 1 -x^2 -8x -16 and y = x^2 +3x -10
Then: x^2 +3x -10 = -x^2 -8x -15
Or: 2x^2 +11x +5 = 0
Factorizing the above: (2x+1)(x+5) = 0 meaning x = -1/2 or x = -5
When x = -1/2 then by substitution y = -45/4
When x = -5 then by substitution y = 0
Therefore it follows coordinates of intersection are at: (-1/2, -45/4) and (-5, 0)
Wiki User
∙ 6y ago
Add your answer:
Earn +20 pts
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)
X squared plus y squared equals 2y.change into polar equation?
x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
What are the x coordinates when the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 intersect each other?
If: y = 4x^2 -12x -3 and y = x^2 +11x +5 Then: 4x^2 -12x -3 = x^2 +11x +5 Transposing terms: 3x^2 -23x -8 = 0 Factorizing: (3x+1)(x-8) = 0 => x = -1/3 or x = 8 Therefore the x coordinates are: -1/3 and 8
How do you do a gradient squared?
For a three-dimensional del operator in Cartesian coordinates: del2 = delT del = del dot del = d/dx2 + d/dy2 + d/dz2
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabolas equation?
7
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 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)
X squared plus y squared equals 2y.change into polar equation?
x2+y2=2y into polar coordinates When converting Cartesian coordinates to polar coordinates, three standard converstion factors must be memorized: r2=x2+y2 r*cos(theta)=x r*sin(theta)=y From these conversions, you can easily get the above Cartesian equation into polar coordinates: r2=2rsin(theta), which reduces down (by dividing out 1 r on both sides) to: r=2sin(theta)
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 x coordinates when the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 intersect each other?
If: y = 4x^2 -12x -3 and y = x^2 +11x +5 Then: 4x^2 -12x -3 = x^2 +11x +5 Transposing terms: 3x^2 -23x -8 = 0 Factorizing: (3x+1)(x-8) = 0 => x = -1/3 or x = 8 Therefore the x coordinates are: -1/3 and 8
How do you do a gradient squared?
For a three-dimensional del operator in Cartesian coordinates: del2 = delT del = del dot del = d/dx2 + d/dy2 + d/dz2
What is x squared plus 25 times y squared equals 50?
It is the Cartesian equation of an ellipse.
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4 What is the coefficient of the squared term in the parabolas equation?
The vertex of this parabola is at -3 -1 When the y-value is 0 the x-value is 4. The coefficient of the squared term in the parabolas equation is 7
What is the parabola?
A parabola is a type of graph that is not linear, and mostly curved. A parabola has the "x squared" sign in it's equation. A parabola is not only curved, but all the symmetrical. The symmetrical point, the middle of the parabola is called the vertex. You can graph this graph with the vertex, x-intercepts and a y-intercept. A parabola that has a positive x squared would be a smile parabola, and the one with the negative x squared would be a frown parabola. Also, there are the parabolas that are not up or down, but sideways Those parabolas have x=y squared, instead of y = x squared.
When vertex of this parabola is at (35) . When the y-value is 6 the x-value is -1. what is the coefficient of the squared term in the parabolas equation?
It is 1/16.
The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabolas equation?
7
How do you find the distance between two coordinates in geometry?
square root(x2-x1)squared+(y2-y1)squared
