Question

What is the distance between `(-3,2)` and `(2,-2)`?

Answer 1

`sqrt(41)`

Explanation:

Based on the Pythagorean Theorem the distance between two points `(x_1,y_1)` and `(x_2,y_2)` is given by the formula:
`color(white)("XXX")d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

For the given example:
`color(white)("XXX")d=sqrt((2-(-3))^2+((-2)-2)^2)`

`color(white)("XXX")=sqrt(5^2+(-4)^2)`

`color(white)("XXX")=sqrt(25+16)`

`color(white)("XXX")=sqrt(41)`