On a number line, the directed line segment from cap q to cap s has endpoints cap q at negative 14 and cap s at 2 Point cap r partitions the directed line segment from cap q to cap s in a ratio of 3 to 5 ratio. Which expression correctly uses the formula open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 to find the location of point cap r ?
Answer
A
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren negative 14 minus 2 close paren plus 2
B
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren 2 minus 14 close paren plus 14
C
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren negative 14 minus 2 close paren minus 2
D
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren 2 minus negative 14 close paren plus negative 14