Question

What is the location of point G, which partitions the directed line segment from F to D into an 8:5 ratio? A number line goes from negative 5 to 10. Point D is at negative 4 and point F is at 9. A line is drawn from point D to point F. 1 2 3 4.

Answer 1

Answer:

Answer: A "1"

Explanation:

got a 100 on the test

Answer 2

The location of point G which partitions the directed line segment from F to D into an 8:5 ratio is; Option A: 1

The line segment is missing and so i have attached it.

We are told that point G partitions the line segment with direction from F to G in the ratio 8:5.

• Since F to D is from 9 to -4, This means that;

(G - F)/(D - G) = 8/5

Cross multiply to get;

5(G - F) = 8(D - G)

Expanding the brackets gives;

5G - 5F = 8D - 8G

• Adding 8G to both sides by addition property of equality gives;

5G - 5F + 8G = 8D

13G - 5F = 8D

• Adding 5F to both sides by addition property of equality gives;

13G = 8D + 5F

putting 9 for F and -4 for D gives;

13G = 8(-4) + 5(9)

13G = 45 - 32

13G = 13

G = 1

Thus, location of point G is at point 1.

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