Question

How do you find the distance between (-3,17), (15,-7)?

Answer 1

`30" units"`

Explanation:

`"to calculate the distance 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 points are " (x_1,y_1)=(-3,17),(x_2,y_2)=(15,-7)`

`d=sqrt((15-(-3))^2+(-7-17)^2)`

`color(white)(d)=sqrt(18^2+(-24)^2)`

`color(white)(d)=sqrt(324+576)`

`color(white)(d)=sqrt900`

`color(white)(d)=30" units"`