We have been given that point a is at 
and point c is at 
. We are asked to find the coordinates of point b on segment ac such that the ratio is 1:3.
We will use section formula to solve our given problem.
When point P divides a segment internally in the ratio m:n, the coordinates of point P would be:
![[x=\frac{mx_2+nx_1}{m+n}, y=\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%20y%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
Let point 
and point 
.
![[x=\frac{1(4)+3(-2)}{1+3}, y=\frac{1(7)+3(4)}{1+3}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B1%284%29%2B3%28-2%29%7D%7B1%2B3%7D%2C%20y%3D%5Cfrac%7B1%287%29%2B3%284%29%7D%7B1%2B3%7D%5D)
![[x=\frac{4-6}{4}, y=\frac{7+12}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B4-6%7D%7B4%7D%2C%20y%3D%5Cfrac%7B7%2B12%7D%7B4%7D%5D)
![[x=\frac{-2}{4}, y=\frac{19}{4}]](https://tex.z-dn.net/?f=%5Bx%3D%5Cfrac%7B-2%7D%7B4%7D%2C%20y%3D%5Cfrac%7B19%7D%7B4%7D%5D)
![[x=-0.5, y=4.75]](https://tex.z-dn.net/?f=%5Bx%3D-0.5%2C%20y%3D4.75%5D)
Therefore, the coordinates of point 'b' would be 
.
Answer:
469.875 square feet
Step-by-step explanation:
All you have to do for this question is multiply 3.75 bags of soil * 125.3 feet per bag.
square feet
