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

2 Answers
Jun 5, 2018

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

Jun 5, 2018

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