Question

What is the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio? Negative one-eleventh One-eleventh Two-fifteenths Fifteen-halves.

Answer 1

Answer:

B

Step-by-step explanation:

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Answer 2

The location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is $\frac{1}{11}$.

The given parameters:

• Partition of the line segment = 5:6

The total segment of the directed line segment from D to E in the given ratio of 5:6 is calculated as follows;

total segment = 5 + 6 = 11

The value of each partition on the directed line segment is calculated as follows;

$partition = \frac{1}{11} \times distance$

The distance between point D and point E is calculated as follows;

$D = 5 - (-4)\\\\D = 5 + 4\\\\D = 9$

The partition of the two points (D to E) is calculated as follows;

$partition = \frac{1}{11} \times 9 = 0.82$

Thus, we can conclude that, the location of point F, which partitions the directed line segment from D to E into a 5:6 ratio is $\frac{1}{11}$.

Learn more about partition of line segments here: brainly.com/question/4429522