How do you use the distance formula to find the distance of W(1,7), X(-2,-4)?
1 Answer
Jan 12, 2017
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 (1 ,7) and (-2 ,-4)
let
# (x_1,y_1)=(1,7)" and " (x_2,y_2)=(-2,-4)# substituting into the distance formula.
#d=sqrt((-2-1)^2+(-4-7)^2)=sqrt((-3)^2+(-11)^2)#
#=sqrt(9+121)=sqrt130larr" exact value"#
#sqrt130≈11.40" to 2 decimal places"#
