Question

What is the location of point g, which partitions the directed line segment from d to f into a 5:4 ratio? a number line goes from negative 5 to positive 10. point d is at negative 2 and point f is at positive 7. a line is drawn from point d to point f. –1 0 2 3

Answer 1

Using proportions, according to the ratio of the partition, it is found that the location of point g is at 3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, point g partitions the directed line segment from d to f into a 5:4 ratio, hence:

$g - d = \frac{5}{9}(f - d)$

We have that d = -2 and f = 7, hence:

$g - d = \frac{5}{9}(f - d)$

$g + 2 = \frac{5}{9}(7 + 2)$

g + 2 = 5.

g = 3.

More can be learned about proportions at brainly.com/question/24372153

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