Question

What is the distance between `(2,17)` and `(-10,25)`?

Answer 1

`sqrt208~~14.42" to 2 dec. places"`

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)=(2,17)" and "(x_2,y_2)=(-10,25)`

`d=sqrt((-10-2)^2+(25-17)^2`

`color(white)(d)=sqrt((-12)^2+8^2)=sqrt(144+64)=sqrt208~~14.42`