1. Point P is between points F and G. The distance between points F and Pis 1/4 of FG. What is the coordinate of point P?

Answer:

Point P is in between points F and G.

Now, here we do not have the actual locations of F and G, so i will answer this in a general way.

Suppose that F is located at 0 and G is located at some value A.

Then the distance FG = A - 0 = A.

Now, the distance between F and P is:

Distance  = (1/4)*FG = A/4

Then the location of P is equal to the location of F plus A/4

P = 0 + A/4

Now, writing this in a more general way:

P = F + FG/4

Final answer:

The coordinate of point P is represented by the expression 0.75f + 0.25g. This is found by taking the coordinate F and adding 1/4 of the distance FG, which is represented by the coordinates g - f.

Explanation:

In order to find the coordinate of point P, we first need to understand the problem properly. You are given that point P is located between points F and G, and the distance from F to P is one-fourth the distance from F to G. If we represent these points on a number line, suppose the coordinate of F is 'f' and that of G is 'g'.

Then, the distance from F to G is 'g - f'. Given that FP = 1/4 FG, the coordinate of point P, p, is 'f' plus 1/4 of 'g - f'. That is:

p = f + 1/4(g - f) = f + 0.25g - 0.25f = 0.75f + 0.25g.

This expression gives the coordinate of P in terms of the coordinates of F and G.

Learn more about Coordinates here:

brainly.com/question/32034725

#SPJ3