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.
