Answer:

Step-by-step explanation:
To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.
After applying the binomial theorem and simplifying, you should get:

Our 5th term here is:
which is equal to 
~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~
Answer:
60 cm is the answer
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the function
y = f(x) = 3 x ( 4 x + 7)
y = 3 x ( 4 x + 7)
y = 12 x² + 21 x ..(i)
Differentiating equation (i) with respective to 'x' , we get


Maximum value : x=-4
The graph of the parabola opens down, since the value of a (-2) is a negative coefficient. This means the parabola has a maximum value, not a minimum value. The vertex of the parabola is -4, which is the maximum value of the graph.
Answer:
Also see attachments
Step-by-step explanation:
You have two equations and two "unknowns" x and y.
This is an easy one. Add the two equations together, which will eliminate the y terms so you can solve for x:
2x+2y = -2
3x-2y = 12
---------------
5x = 10, so x = 2.
Now plug the 2 back into one of the equations and solve it for y.
2(2)+2y = -2
4+2y = -2
2y = -6
y = -3