What is the distance between #(88,-8)# and #(74,2)#?

2 Answers
Apr 28, 2018

Answer:

#2sqrt(74)~~17.2#

Explanation:

#d=sqrt((x_1-x_2)^2+(y_1-y_2)^2)#
#d=sqrt(14^2+(-10)^2)#
#d=sqrt(296)=2sqrt(74)~~17.2#

Apr 28, 2018

Answer:

#sqrt296~~17.2" to 1 dec. place"#

Explanation:

#"calculate the distance 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)=(88,-8)" and "(x_2,y_2)=(74,2)#

#d=sqrt((74-88)^2+(2+8)^2)#

#color(white)(d)=sqrt(196+100)=sqrt296~~17.2#