Question

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.

Answer 1

Answer:

The ratio will be 9 : 2

Step-by-step explanation:

Suppose, the distance from $M$ to $N$ is  $x$

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

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

Thus,  $\overline{MP}: \overline{PN}= \frac{9}{11}x:\frac{2}{11}x =9:2$

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

Answer 2

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