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

the answer is 0

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The correct option is 3.

Step-by-step explanation:

It is provided that:

A number line goes from negative 5 to positive 10.

Point D is at negative 2, i.e. Point D = -2.

Point F is at positive 7, i.e. Point F = 7.

A line is drawn from point D to point F.

Point G divides the directed line segment from D to F into a 5 : 4 ratio.

Consider the diagram below.

The distance between the points D and F is of 9 units (from -2 to 7).

If Point G divides the directed line segment from D to F into a 5 : 4 ratio, then the point G must be located at 3.

Thus, the correct option is 3.

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