If point P is 9/11 of the distance from M to N, then point P partitions the directed line segment from M to N into a ____ ratio.

Question

asked Jun 18, 2017 41.2k views

2 Answers

Ahmad Ayyaz · Answer 1 · 2017-06-18T14:01:08+0000

If point P is 9/11 of the distance from M to N, then point P partitions the directed line segment from M to N into a 9:2 ratio

Itsundefined · Answer 2 · 2017-06-24T04:05:02+0000

Answer:

The ratio will be 9 : 2

Explanation:

Suppose, the distance from
to
is

As point P is
(9)/(11) of the distance from
to
, so the length of the line segment
$\overline{MP}$ will be:
(9)/(11)x

Now,
$\overline{PN}=\overline{MN}-\overline{MP} = x-(9)/(11)x = (2)/(11)x$

Thus,
$\overline{MP}: \overline{PN}= (9)/(11)x:(2)/(11)x =9:2$

So, the point
partitions the directed line segment from
to
into 9 : 2 ratio.