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 correct option is 3.

Step-by-step explanation:

It is provided that:

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.

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.