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.

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Answer 1

Answer:

 A)  1

Step-by-step explanation:

We want to find G such that ...

 (G-F)/(D-G) = 8/5

 5(G-F) = 8(D-G)

 5G -5F = 8D-8G . . . . eliminate parentheses

 13G = 8D +5F . . . . . . add 5F +8G to both sides

 G = (8D +5F)/13 . . . . divide by the coefficient of G

 G = (8(-4) +5(9))/13 = (-32 +45)/13 = 13/13

 G = 1 . . . . . . matches choice A

Answer 2

Answer:

A

Step-by-step explanation:

EDGE 22