Answer with Step-by-step explanation:
The given differential equation is
Now the above differential equation can be re-written as
Checking for exactness we should have
As we see that the 2 values are equal thus we conclude that the given differential equation is exact
The solution of exact differential equation is given by
The value of 
can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)
The triangle cannot be made.
Solution:
Given sides of a triangle are 8 ft, 20 ft and 8 ft.
<u>To determine if the triangle can be made:</u>
Let us first define the triangle inequality theorem.
Triangle inequality theorem:
The sum of the lengths of the any two sides of a triangle is greater than the length of the third side.
Using this theorem, we can determine if the triangle can be made or not.
8 ft + 20 ft = 28 ft > 8 ft
20 ft + 8 ft = 28 ft > 8 ft
8 ft + 8 ft = 16 ft < 20 ft
Here the sum of the two sides is less than 20 ft.
This is not satisfy the triangle inequality theorem.
Therefore, the triangle cannot be made.
It Is D because pulling out a yellow marble is INDEPENDENT to pulling out a green marble which is also independent. hope I helped :]
Answer:
Step-by-step explanation: 15 minus 6.2 is 8.8 thats how much he needs to fill upp if it is 3.50 a gallon you would multiply to get 30.8 thats how much money he spent on gas
