Question

What is the distance between `(88,-8)` and `(74,2)`?

Answer 1

`2sqrt(74)~~17.2`

Explanation:

`d=sqrt((x_1-x_2)^2+(y_1-y_2)^2)`
`d=sqrt(14^2+(-10)^2)`
`d=sqrt(296)=2sqrt(74)~~17.2`

Answer 2

`sqrt296~~17.2" to 1 dec. place"`

Explanation:

`"calculate the distance using the "color(blue)"distance formula"`

`•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)`

`"let "(x_1,y_1)=(88,-8)" and "(x_2,y_2)=(74,2)`

`d=sqrt((74-88)^2+(2+8)^2)`

`color(white)(d)=sqrt(196+100)=sqrt296~~17.2`