Can someone please help? A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. You must show all work to receive credit.

The coordinate of point Q is at (2.4, -0.4)

Using the mid-segment theorem as shown:

Given the following

A (2, −1) and C (4, 2) where

x1 = 2

y1 = -1

x2 = 4

y2 = 2

Since the coordinates are partitioned within segment 4:1 ratio, hence;

m = 4

n = 1

Get the X coordinate of point Q

Get the Y coordinate of point Q

This shows that the coordinate of point Q is at (2.4, -0.4)

More information on the midpoint theorem can be found at

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.