Question

What is the distance between `(-11,-11)` and `(21,-22)`?

Answer 1

`sqrt1145~~33.84" to 2 dec. places"`

Explanation:

`"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)=(-11,-11)" and "(x_2,y_2)=(21,-22)`

`d=sqrt((21-(-11))^2+(-22-(-11))^2`

`color(white)(x)=sqrt(32^2+(-11)^2)`

`color(white)(d)=sqrt(1024+121)=sqrt1145~~33.84`