Answer: ![v=\sqrt[]{\frac{2K}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D)
Step-by-step explanation:

First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;


Divide by m to isolate
.


To eliminate the square and isolate v, extract the square root.
![\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3D%5Csqrt%5B%5D%7Bv%5E2%7D)
![\sqrt[]{\frac{2K}{m} }=v](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3Dv)
let's rewrite it in a way that v is in the left side.
![v=\sqrt[]{\frac{2K}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D)
I am pretty sure your answer is going to be 243
I hope this helps, and good luck!!
Answer:
3a=4.5
Step-by-step explanation:
it says that "a is equal to 3 times b", which translates to a=3b
We can substitute a as 3b in 2a+4b=5
2(3b)+4b=5
multiply
6b+4b=5
add
10b=5
divide by 10
b=1/2
since it's given that a=3b, we can multiply 1/2 by 3
a=3/2
3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5
Hope this helps!
Answer:
I think it's alternate interior, cause both the angle are inside..
If there is some scalar function

such that

then we want to find

such that



So the vector field

is conservative, which means the fundamental theorem applies; the line integral of

along any path

parameterized by some vector-valued function

over

is given by

In this case,