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They intersect at the point of: (-3/2, 11/4)

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Q: 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?
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What is the point of intersection between the parabolas of y equals 3x squared plus 10x plus 11 and y equals 2 -2x -x squared?

If: y = 3x^2 +10x +11 and y = 2 -2x -x^2 Then: 3x^2 +10x +11 = 2 -2x -x^2 Transposing terms: 4x^2 +12X +9 = 0 Factorizing the above: (2x+3)(2x+3) = 0 meaning x = -3/2 By substitution into original equations intersection is at (-3/2, 11/4)


What are the point of intersection of x is equal to y squared plus 2y?

You need two, or more, curves for points of intersection.


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.


What is the intersection point of the lines 2x plus y equals 2 and -3x-2y equals -6?

The intersection is (-2, 6)


What is the point of intersection of the parabolas y equals x2 plus 20x plus 100 and y equals x2 -20x plus 100 showing work?

If: y = x2+20x+100 and x2-20x+100 Then: x2+20x+100 = x2-20x+100 So: 40x = 0 => x = 0 When x = 0 then y = 100 Therefore point of intersection: (0, 100)


X equals 1 and y equals 6 what is the point of intersection?

1,6


What is the point of intersection if y equals x plus 1 and x equals -x plus 1x?

2


At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8?

(2, -2)


What is the coordinates for y equals x y equals -x plus 2?

The coordinates of the point of intersection is (1,1).


What is the point of intersection for y equals 2x -1?

3


What is the point of intersection between the lines y equals 4x -1 and 3y -8x plus 2 equals 0?

The point of intersection of the given simultaneous equations of y = 4x-1 and 3y-8x+2 = 0 is at (0.25, 0) solved by means of elimination and substitution.


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.


What is the common point of these equations x plus 2y equals 6 x plus y equals 2?

When x = -2 then y = 4 which is the common point of intersection of the two equations.


How are hyperbolas different from parabolas?

hyperbolas have an eccentricity (fixed point to fixed line ratio) that is greater than 1, while the parabolas have an exact eccentricity that is equal to 1. And hyperbolas are always come in pairs while parabolas are not.


F equals yy is a point of intersection of two parallel lines?

Probably not. But there is not enough information in the question to be certain.


What is the point of contact of the following parabolas y equals 3x squared plus 10x plus 11 and y equals 2 -2x -x squared?

If: y = 3x^2 +10x +11 and y = 2 -2x -x^2 Then: 3x^2 +10x +11 = 2 -2x -x^2 Transposing terms: 4x^2 +12x +9 = 0 Factorizing: (2x +3)(2x +3) = 0 => x = -3/2 and also x = -3/2 Therefore by substituting the point of contact is at: (-3/2, 11/4)


When marginal revenue equals marginal cost?

At this intersection point on a graph, firms will earn maximum profit, even if this point is under average total cost.


What is the value of k when y equals 3x plus 1 is a line tangent to the curve of x squared plus y squared equals k hence finding the point of contact of the line to the curve?

It is (-0.3, 0.1)


What is the point of intersection of the lines 5x plus 7y plus 29 equals 0 and 11x -3y -65 equals 0?

It works out that they intersect at: (4, -7)


What is the point of intersection of the lines 5x plus 7y plus 29 equals 0 and 11x minus 3y minus 65 equals 0?

(4, -7)


Find the equations of the lines that are tangent to the ellipse x squared plus y squared equals sixteen and that also pass through the point x equals 4 and y equals 6?

This is not possible, since the point (4,6) lies inside the circle : X2 + Y2 = 16 Tangents to a circle or ellipse never pass through the circle


What is the point of intersection of the line y equals 2x plus 5 over 4 with the curve y squared equals 10x?

Point of intersection: (5/8, 5/2) Square both sides of the first equation and merge it with the second equation to form a quadratic equation:- 4x2-5x+25/16 = 0 Solving the above using the quadratic equation formula gives x as having two poitive roots of 5/8 and substituting this into the linear equation gives y a value of 5/2.


What is the point of intersection between two lines called?

The point of intersection.


What is the vertex of the function y equals x squared plus 4?

The vertex is at the point (0, 4).


The distance from the green point on the parabola to the parabolas focus is 6 What is the distance from the green point to the directrix?

6