Solve $x^2+y^2=4$ and $z=-1$

Thread starter TaurusSteve
Start date Mar 20, 2020

In summary, the given equation represents a circle with radius 2 centered at the origin and has infinitely many solutions. It can be solved algebraically by rearranging the equation and substituting the solution into the other equation. There are an infinite number of real solutions since the equation represents a circle on the x-y plane. To graph the solutions, plot points on the circle by substituting different values for x or y and solving for the other variable. The value of z=-1 does not have any significance in this equation as it is just a constant value that does not affect the shape or solutions of the circle.

Mar 20, 2020

TaurusSteve

Ban my account please!Thanks!

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Mar 20, 2020

davenn

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TaurusSteve said:

Ban my account please!Thanks!

what's the problem ?

Mar 20, 2020

Vanadium 50

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Probably that his message titled [bleep]ing Dang! was deleted.

Mar 20, 2020

berkeman

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At least he's being very polite, saying please and thank you.

Mar 20, 2020

Mark44

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TaurusSteve said:

Ban my account please!Thanks!

Or you could just stop logging in...

Related to Solve $x^2+y^2=4$ and $z=-1$

1. What is the solution to the equation $x^2+y^2=4$ and $z=-1$?

The solution to this equation is not a single point, but rather a set of points that satisfy both equations. In other words, the solution is a circle with a radius of 2, centered at the origin, in the xy-plane and a single point at z=-1 in the z-axis.

2. How do you graph the equations $x^2+y^2=4$ and $z=-1$?

To graph these equations, you can plot the circle in the xy-plane with a radius of 2 and center at the origin. Then, plot a single point at z=-1 on the z-axis. This will represent the intersection of the circle and the z=-1 plane.

3. Can you solve for all possible values of x, y, and z that satisfy the equations $x^2+y^2=4$ and $z=-1$?

Yes, there are infinite solutions for this system of equations. Each point on the circle in the xy-plane and the single point at z=-1 in the z-axis is a valid solution.

4. Are there any other ways to represent the solutions to $x^2+y^2=4$ and $z=-1$?

Yes, you can also represent the solutions as ordered triples (x, y, z) where x and y are points on the circle in the xy-plane and z is the single point at z=-1 in the z-axis.

5. What is the significance of the equations $x^2+y^2=4$ and $z=-1$ in real life?

These equations are commonly used in geometry and physics to represent circles and points in 3-dimensional space. They can also be used to model various real-life scenarios, such as the motion of a pendulum or the path of a satellite orbiting the Earth.