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PtichkaEL [24]
2 years ago
13

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 fro

m 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
Mathematics
1 answer:
Zarrin [17]2 years ago
4 0

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

<h3>What is a proportion?</h3>

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

#SPJ4

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