How do you find the distance between the points (9,-12), (3,-6)?

1 Answer
Feb 6, 2017

Answer:

#6sqrt2#

Explanation:

Using the #color(blue)"distance formula"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2))color(white)(2/2)|)))#
where # (x_1,y_1),(x_2,y_2)" are 2 coordinate points"#

The 2 points here are (9 ,-12) and (3 ,-6)

let # (x_1,y_1)=(9,-12)" and " (x_2,y_2)=(3,-6)#

#d=sqrt((3-9)^2+(-6+12)^2)=sqrt(36+36)=sqrt72#

#sqrt72" may be simplified"#

#sqrt72=sqrt(36xx2)=sqrt36xxsqrt2=6sqrt2larr" exact value"#