How many sides do 4 pentagons and 3 nonagons have in all?
1 answer:
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Answer:
Step-by-step explanation:
Let:
This is and exact equation, because:
So, define f(x,y) such that:
The solution will be given by:
Where C1 is an arbitrary constant
Integrate with respect to x in order to find f(x,y):
Where g(y) is an arbitrary function of y.
Differentiate f(x,y) with respect to y in order to find g(y):
Substitute into
Integrate with respect to y:
Substitute g(y) into f(x,y):
The solution is f(x,y)=C1
Solving y using quadratic formula:
Answer:
In 2003, the population was 59000 and the population has been growing by 1,700 people each year.
A.
The equation will be:
59000+1700x = (population 'x' years after 2003)
For x, you plug in the amount of years after 2003.
Like if it is the year 2003, the population is
= 59000
when it is year 2005, the population is
= 62400
B.
The town's population in 2007 will be :
Population = 65800
C.
=>
x = 11
Means
Hence, by year 2014 the population will be 77700.
We know that,
- Pythagoras theoram is given by : p² + b² = h²
- In a Pythagoras triplet, the longest side represents the hypotenuse of the triangle.
Then,
We should check that, whether the sum of squares of the smaller sides will be equal to the square of the third side or not. Then, we can determine the above easily.
Sum of squares of smaller sides:
= 6² + 8²
= 36 + 64
= 100
Square of longer side:
= 10²
= 100
Sum of squares of smaller sides = Square of longer side. Hence, 6,8,10 are Pythagorean triplets.
And we are done! :D
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