2mn - 3m + 8n - 12
Let's group the first two terms together and the last two:
2mn - 3m and 8n - 12
In the first group, m is the greatest common factor.
m(2n - 3)
In the second group, 4 is the greatest common factor.
4(2n - 3)
Therefore, (m + 4) and (2n - 3) are our factors. Our missing term is 2n.
Answer:
Period of the given harmonic function is 1.
Step-by-step explanation:
In any harmonic function which is in the form of y = asin(bx+c) + d , we know
Period of this function will be represented as P = 
Therefore for the given function d = 5 sin (2πt) we know the value of B is 2π.
So the period will be P = 
The answer is period = 1
Answer: 
Explanation:
We plug the given coordinates into the distance formula

There isn't much we can do from there since we don't know the values of 'a' or 'b'. You could expand out each binomial, but it's more simplified being factored like that.
Answer:
4:6 or 2:3
Step-by-step explanation:
Since the ratio of mass of oxygen to carbon is 4:3, when there are two carbons the ratio will be 4:3*2=4:6=2:3. Hope this helps!
We can do this from finding 2/3, and that equals 0.66_7 and 7/12 is 0.5833_ and we divide the whole thing. 41.66 and 4.5833 and we get 11