A segment with endpoints A (3, 4) and C (5, 11) is partitioned by a point B such that AB and BC form a 2:3 ratio. Find B. (3.8, 6.8)
(3.9, 4.8)
(4.2, 5.6)
(4.3, 5.9)

(3.8, 6.8)

Step-by-step explanation:

Point B:

Has coordinates (x,y)

AB and BC form a 2:3 ratio.

This means that:

We apply this both for the x-coordinate and for the y-coordinate.

x-coordinate:

x-coordinate of A: 3

x-coordinate of C: 5

x-coordinate of B: x

y-coordinate:

y-coordinate of A: 4

y-coordinate of C: 11

y-coordinate of B: y

Thus the correct answer is:

(3.8, 6.8)

other answer is correct. i had used the radius of the radius somehow. a website:

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)