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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)

Q: 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?

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

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)

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

For a three-dimensional del operator in Cartesian coordinates: del2 = delT del = del dot del = d/dx2 + d/dy2 + d/dz2

7

Related questions

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

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)

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)

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.

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

For a three-dimensional del operator in Cartesian coordinates: del2 = delT del = del dot del = d/dx2 + d/dy2 + d/dz2

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. The coefficient of the squared term in the parabolas equation is 7

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.

It is 1/16.

7

square root(x2-x1)squared+(y2-y1)squared