How do you use the distance formula to find the distance of W(1,7), X(-2,-4)?

1 Answer
Jan 12, 2017

Answer:

#sqrt130≈11.40#

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"#