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

2 Answers
Jim G.
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#

G_Ozdilek
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#

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