What is the approximate distance between (3, 6, -7) and(-4, 1, 5)?

Please help as fast as possible

1 Answer
Jim G.
May 22, 2018

#sqrt218~~14.76" to 2 dec. places"#

Explanation:

#"use the 3-d version of the "color(blue)"distance formula"#

#•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)#

#"let "(x_1,y_1,z_1)=(3,6,-7),(x_2,y_2,z_2)=(-4,1,5)#

#d=sqrt((-4-3)^2+(1-6)^2+(5+7)^2)#

#color(white)(d)=sqrt((-7)^2+(-5)^2+12^2)#

#color(white)(d)=sqrt(49+25+144)=sqrt218~~14.76#

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