Question

What is the distance between `(-12,4)` and `(8,-5)`?

Answer 1

`sqrt481~~21.93" 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)=(-12,4)" and "(x_2,y_2)=(8,-5)`

`d=sqrt((8-(-12))^2+(-5-4)^2)`

`color(white)(d)=sqrt(20^2+(-9)^2)=sqrt481~~21.93`

Answer 2

`L^2 = (Deltax)^2 + (Deltay)^2`

Explanation:

You can calculate from hypotenuse formula:

`L^2 = (-12-8)^2 + (4-(-5))^2`

`L^2 = (-20)^2 + (9)^2`

`L^2 = 400 + 81`

`L^2 = 481`

`L=sqrt(481)`

`L= 21.93`