SOLUTION: On the number line {{{x = 1/3}}} and {{{y = 11/12}}} . The point z divides the segment from x toy into two parts such that the distance from x to z is {{{3/4}}} of the distance fro
Algebra ->
Length-and-distance
-> SOLUTION: On the number line {{{x = 1/3}}} and {{{y = 11/12}}} . The point z divides the segment from x toy into two parts such that the distance from x to z is {{{3/4}}} of the distance fro
Log On
Question 1204270: On the number line and . The point z divides the segment from x toy into two parts such that the distance from x to z is of the distance from z to y. Find the distance from z to y. Found 2 solutions by greenestamps, MathLover1:Answer by greenestamps(13209) (Show Source):
If the distance from x to z is 3/4 of the distance from z to y, then the difference of 7/12 must be divided into two parts in the ratio 3:4. It should be clear that the two parts are 3/12 and 4/12.
So z is 3/12 to the right of 4/12, at 7/12.
The distance from z to y is then the distance from 7/12 to 11/12, which is 4/12 = 1/3.
the distance from to is
let the distance from to be
then the distance from to be .....the distance from to
=> .....the distance from to
answer: the distance from to is
check:
