Step-by-step explanation:
volume of cylinder=π(d/2)²h=π/4×10²×10=250πcm³
Answer:
7.8655
Step-by-step explanation:
Given the functionl
Where,
We have, replacing,
We need to derivate and verify for stable equilibrum that,
Then,
Roots in,
We obtain U"(x), then we have
For 
Unestable
For 
Stable
I’m just here so I could ask a question
Answer:
-37m+6
Step-by-step explanation:
mkay so when working with simplifying any expressions like that, you wanna start with getting rid of your brackets. To do that, you simply take the number directly outside the bracket and you multiply it by everything inside. Let's take -9(m+2) first. You have to multiply everything inside the bracket by -9, so you have -9*m and -9*2, so you end up with -9m and -18. Now you do that to the second part of the equation (4*6 and 4*-7m) and you end up with 24 and -28m. Now you join all your terms together, and you have -9m-18+24-28m. Now all you do is add like terms (so -9m + -28m and -18+24) and you end up with a simplified expression of -37m+6. I hope this helped a little :)).
The correct answer is option D.
<h3>What is Straight Line?</h3>
A straight line is an infinite length line that does not have any curves on it. A straight line can be formed between two points also but both the ends extend to infinity.
When two equations have same slope and their y-intercept is also the same, they are representing the line. In this case one equation is obtained by multiplying the other equation by some constant.
If we plot the graph of such equations they will be lie on each other as they are representing the same line. So each point on that line will satisfy both the given equations so we can say that such equations have infinite number of solutions.
Consider an example:
Equation 1: 2x + y = 4
Equation 2: 4x + 2y = 8
If you observe the two equation, you will see that second equation is obtained by multiplying first equation by 2. If we write them in slope intercept form, we'll have the same result for both as shown below:
Slope intercept form of Equation 1: y = -2x + 4
Slope intercept form of Equation 2: 2y = -4x + 8 , ⇒ y = -2x + 4
Both Equations have same slope and same y-intercept. Any point which satisfy Equation 1 will also satisfy Equation 2. So we can conclude that two linear equations with same slope and same y-intercept will have an infinite number of solutions.
Thus, the correct answer is option D.
Learn more about Straight line from:
brainly.com/question/20492082
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