Answer:
Step-by-step explanation:
We are given that DE
We have to determine given DE is exact or not.
Compare it with Mdx+Ndy=0
Therefore, 
If DE is exact then
Hence,it is exact.
Integrate w.r.t x on both sides
...(1)
By using the formula
Differentiate partially equation (1) w.r.t y
By using the formula:
Integrate w.r.t y
Substitute the value
Answer:
Amount of B used = 276.6 millimeters
Step-by-step explanation:
A = A millimeters
B = A + 400 millimeters
Hence
Taking an overall balance
(0.16 x A) + (0.2)(A+400) = 476
0.16A + 0.2A + 80 = 476
A = 1100 millimeters
B = 1100 + 400 = 1500 millimeters
Hence using direct proportion
2600 --------------------476
1500 ---------------------X
X = 276.61538
Amount of B used = 276.6 millimeters
Answer:
180-65 = 115
Step-by-step explanation:
it is 115 since <7 <6 are a linear pair so they make a 180 angle so 180-65 is 115
One day, you go to a store and buy a pencil. It costs $0.25.
You notice the unit price $0.25/pencil.
The next day you buy 3 pencils, they cost $0.75.
You notice the unit price is $0.75/(3 pencils) = $0.25/pencil.
For each extra pencil you buy, the increase in price is always $0.25.
This suggests a linear relation between the number of pencils, p, and the cost of the pencils, c.
You use a linear equation to give you the cost of pencils based on the number of pencils.
c = 0.25p
One day, you happen to have $4.50 in your pocket.
You'd like to buy 15 pencils, but you are not sure you have enough money.
You use your handy linear equation, and you replace p, the number of pencils, with 15 to find their cost, c.
c = 0.25p
c = 0.25 * 15
c = 3.75
After using your equation, you see that 15 pencils cost $3.75, and since you have $4.50 you have enough money to buy them. You're very happy about this, and, as soon as you get home, you write this experience in your journal, using one of the new pencils you just bought, and you make it a point to include the linear equation that helped you.
