Question

if point p is \\(\frac{9}{11}\\) of the distance from m to n, what ratio does the point p partition the directed line segment from m to n into?
\\(\bigcirc\\) 9:2
\\(\bigcirc\\) 9:9
\\(\bigcirc\\) 9:11
\\(\bigcirc\\) 9:13

Explanation:

Step1: Understand the distance ratio

Point P is $\frac{9}{11}$ of the distance from M to N. So the distance from M to P is $\frac{9}{11}$ of MN, and the distance from P to N would be $1 - \frac{9}{11}=\frac{2}{11}$ of MN.

Step2: Determine the ratio MP:PN

The ratio of MP to PN is $\frac{9}{11}:\frac{2}{11}$, which simplifies to $9:2$ (since we can multiply both parts by 11 to eliminate the denominators).

Answer:

A. 9:2