Question

How do you find the distance between points (-11, 9), (3,-4)?

Answer 1

`sqrt365≈19.105" to 3 dec. places"`

Explanation:

To calculate the distance between 2 points use the `color(blue)"distance formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))`
where `(x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

The 2 points here are (-11 ,9) and (3 ,-4)

let `(x_1,y_1)=(-11,9)" and " (x_2,y_2)=(3,-4)`

`d=sqrt((3-(-11))^2+(-4-9)^2)`

`=sqrt(14^2+(-13)^2)=sqrt(196+169)=sqrt365`

`rArr"distance between points " =sqrt365≈19.105`