Answer:
A
Step-by-step explanation:
you can put any number for the x so there are infinite solutions
We have been given two points. 
and 
. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.
We will use segment formula to solve our given problem.
When a point P divides segment any segment internally in the ratio 
, then coordinates of point P are:
![[\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2Cy%3D%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5Cleft%5D)
and 
.
Upon substituting our given information in above formula, we will get:
![[\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B4%283%29%2B1%283%29%7D%7B4%2B1%7D%2Cy%3D%5Cfrac%7B4%289%29%2B1%284%29%7D%7B4%2B1%7D%5Cleft%5D)
![[\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B12%2B3%7D%7B5%7D%2Cy%3D%5Cfrac%7B36%2B4%7D%7B5%7D%5Cleft%5D)
![[\right x=\frac{15}{5},y=\frac{40}{5}\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D%5Cfrac%7B15%7D%7B5%7D%2Cy%3D%5Cfrac%7B40%7D%7B5%7D%5Cleft%5D)
![[\right x=3,y=8\left]](https://tex.z-dn.net/?f=%5B%5Cright%20x%3D3%2Cy%3D8%5Cleft%5D)
Therefore, the coordinates of point B would be 
.
Answer:
Time it will take to drain the entire tower = 2.8minutes
Step-by-step explanation:
The question is incomplete as the volume of the tower was not indicated.
Let's consider the following question:
If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.
Solution:
Volume = 36000in³
Conversion of in³ to ft³
1 inch = 0.0833 feet
12 inch = 1 ft
1 ft³ = 1ft × 1ft × 1ft
= 12 in x 12 in x 12 in = 1728 in³
36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³
= 20.833ft³
Volume = 20.833ft³
There are 7.48 gallons in a cubic foot
In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)
= 20.833× 7.48gallons
Volume = 155.83 gallons
The rate of usage = 56 gallons per minute
The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)
= (155.83/56)minute
= 2.8minutes
Time it will take to drain the entire tower = 2.8minutes
Answer:7
Step-by-step explanation:
all you have to do is subtract 20-13
The diameter is 48 feet. The radius is half of the diameter, so it is 24 feet. The area can be found using the formula pi r ^ 2. So, the area is 576 pi
