# Thread: distance Between Two Points

1. Using the distance formula for two points, find the distance between the points below.

A(sqrt{2x}, -1/3), B(cuberoot{x^3}, (1/2)^2)

Using the distance formula for two points, find the distance between the points below.

A(pi, -pi), B(e, -e)

2. Originally Posted by magentarita
Using the distance formula for two points, find the distance between the points below.

A(sqrt{2x}, -1/3), B(cuberoot{x^3}, (1/2)^2)

Using the distance formula for two points, find the distance between the points below.

A(pi, -pi), B(e, -e)
The distance between two points in the plane, $\displaystyle (x_0,y_0)$ and $\displaystyle (x_1,y_1),$ is

$\displaystyle d=\sqrt{(x_1-x_0)^2+(y_1-y_0)^2}\text.$

Just substitute the given coordinates into the formula. Do you need help in simplifying the results?

3. ## ok....

Originally Posted by Reckoner
The distance between two points in the plane, $\displaystyle (x_0,y_0)$ and $\displaystyle (x_1,y_1),$ is

$\displaystyle d=\sqrt{(x_1-x_0)^2+(y_1-y_0)^2}\text.$

Just substitute the given coordinates into the formula. Do you need help in simplifying the results?
I guess I can place just about anything in the radicand, right?

4. Originally Posted by magentarita
I guess I can place just about anything in the radicand, right?
I am not sure what you are asking. The distance formula will work for any two points in the plane (and can be easily extended to 3 or more dimensions), if that is what you mean. Otherwise you will have to clarify.