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

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(13215) (Show Source): You can put this solution on YOUR website!

x = 1/3 = 4/12
y = 11/12

The distance between x and y is 7/12.

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.

ANSWER: 1/3

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

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:

RELATED QUESTIONS
On the number line x=1/4 and y=11/12. The point z divides the segment from x to y into... (answered by greenestamps)
on the number line x = 1/4 and y = 11/12. The point z divides the segment from x to y... (answered by Theo,josgarithmetic,ikleyn)
on the number line x=2/5 and y=11/5 the point z divides the segment from x to y into two... (answered by josgarithmetic,greenestamps,ikleyn)
On the number line x= 2/9 and y= 17/18. The point z divides the segment from x to y into... (answered by ikleyn,MathTherapy,greenestamps)
Given the points A(-2, 1) and B(4, 5), determine the coordinates of point P on directed... (answered by Edwin McCravy)
geometry question find the y value for the point that divides the line segment x,y into a (answered by Fombitz)
Point P is on the directed line segment from point X(−6, −2) to point Y(6,7)... (answered by josmiceli)
A directed line segment AB on the coordinate plane starts from A (3,-9) and ends at B... (answered by solver91311)