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

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation: