Answer:
no solution
Step-by-step explanation:
Answer:
900000cubic feet
Step-by-step explanation:
capacity of dump hole= 250*120*30
= 900000cubic feet
Answer:
50
Step-by-step explanation:
add them all up and divide by 5
Answer:
Length of AB = 4.4721
Equation of line BC: y = -2x + 6
Step-by-step explanation:
To find the length of the line AB, we just need to find the distance between the points A and B.
We can find distance with the equation:
![distance = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}](https://tex.z-dn.net/?f=distance%20%3D%20%5Csqrt%7B%28x_A%20-%20x_B%29%5E2%20%2B%20%28y_A%20-%20y_B%29%5E2%7D)
![distance = \sqrt{(-3 - 1)^2 + (2 - 4)^2}](https://tex.z-dn.net/?f=distance%20%3D%20%5Csqrt%7B%28-3%20-%201%29%5E2%20%2B%20%282%20-%204%29%5E2%7D)
![distance = 4.4721](https://tex.z-dn.net/?f=distance%20%3D%204.4721)
To find the equation of the line BC, first let's find the slope of the line AB.
This slope is given by:
![m_{AB} = \frac{ y_A - y_B }{ x_A - x_B }](https://tex.z-dn.net/?f=m_%7BAB%7D%20%3D%20%5Cfrac%7B%20y_A%20-%20y_B%20%7D%7B%20x_A%20-%20x_B%20%7D)
![m_{AB} = \frac{ 2 - 4 }{ -3 - 1} = \frac{1}{2}](https://tex.z-dn.net/?f=m_%7BAB%7D%20%3D%20%5Cfrac%7B%202%20-%204%20%7D%7B%20-3%20-%201%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:
![m_{BC} = -\frac{1}{m_{AB}} = -2](https://tex.z-dn.net/?f=m_%7BBC%7D%20%3D%20-%5Cfrac%7B1%7D%7Bm_%7BAB%7D%7D%20%3D%20-2)
so the line BC is:
![y = -2x + b](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%20b)
To find the value of b, we can use the point B (1,4):
![4 = -2 + b](https://tex.z-dn.net/?f=4%20%3D%20-2%20%2B%20b)
![b = 6](https://tex.z-dn.net/?f=b%20%3D%206)
So we have:
![y = -2x + 6](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%2B%206)
La respuesta es 81.
Eso es porque
81*1= 81,
27*3=81,
y 9*9=81.