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

I was looking for this answer and couldn't find it, I got the answer but I'm posting this for others. fill free to get the points for free.

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.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!