For this case we have:
The area of the piece of fabric is given by 
Where
Substituting in the formula of the area we have:
Thus, the area of the piece of fabric is given by:
Answer:
Answer:
Fuel used = 111,303,473,760 MJ/year
Step-by-step explanation:
Power production = Fuel energy * Efficiency
1200 MW = Fuel energy * 0.34
Fuel energy = 1200 MW / 0.34 =3529.41 MW
This means it consumes 3529.41 MJ/s.
Per year, it operates 365 days, 24 hours a day, 3600 seconds an hour.
To calculate the fuel used annualy we have to multiplicate by all these factors
Fuel used = 3529.41 MJ/s * 3600 s/hour * 24 hours/day * 365 days/year
Fuel used = 111,303,473,760 MJ/year
Let's solve this system of equations through substitution.
We have these two equations.
-7x-2y=14
6x+6y=18
Now let divide the second equation by 6.
6x+6y=18 ----> x+y=3
Next, let us move y to the right side of the equation.
x+y=3 -------> x=3-y (x equals 3-y)
Because we found out that what x is in terms of y, we can input that in for every instance of x in this equation below.
-7x-2y=14 becomes -7(3-y)-2y=14 (Why? Because x equals 3-y!)
We have a one variable equation now and can solve for y.
-7(3-y)-2y=14
-21+7y-2y=14
5y=35
y=7
Plug in 7 for y in any equation to find x.
x+y=3
x+7=3
x=-4
answer: x=-4, y=7
Answer:
Option B
Step-by-step explanation:
From the question we are told that:
Demand point 
Supply Point 
Generally the equation for fixed-requirement constraints is mathematically given by
Therefore the correct option is
Option B
Answer:
Step-by-step explanation:
A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)
Find the distance of sides using distance formula.
Distance = 
A (1 ,7) , B(4, 2)
![AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%282-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%20%20%3D%5Csqrt%7B3%5E%7B2%7D%2B%28-5%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%20%5C%5C%20%20%20%3D%20%5Csqrt%7B9%2B25%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5C%5C%5CBC%20%3D%20%5Csqrt%7B%28-1-4%29%5E%7B2%7D%2B%28-1-2%29%5E%7B2%7D%7D%5C%5C%5C%5C%20%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%20%20%20%3D%20%5Csqrt%7B25%2B9%7D%3D%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CCD%20%3D%20%5Csqrt%7B%28-4-%5B-1%5D%29%5E%7B2%7D%2B%284-%5B-1%5D%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-4%2B1%29%5E%7B2%7D%2B%284%2B1%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-3%29%5E%7B2%7D%2B%285%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B9%2B25%7D%20%3D%20%20%5Csqrt%7B34%7D%20units%5C%5C%5C%5C%5C%5CAD%20%3D%20%5Csqrt%7B%28-4-1%29%5E%7B2%7D%2B%284-7%29%5E%7B2%7D%7D%5C%5C%5C%5C%3D%5Csqrt%7B%28-5%29%5E%7B2%7D%2B%28-3%29%5E%7B2%7D%7D%20%20%3D%5Csqrt%7B25%2B9%7D%20%3D%20%20%5Csqrt%7B34%7D%20units)
AB = BC = CD = AD = √34 units. so , ABCD is a square.
Area of square = side * side
= √34 * √34
= 34 square units
