Answer:

Step-by-step explanation:
Because we have to rewrite this equation in the format
, we have to divide, or factor to find basic terms,
Expanding the value of k(x), we have
. We see that each term can be divisible by 4, so we can factor out 4 to get

Now, we have two different terms getting multiplied. We can separate the two to get 
Because we are multiplying 4 by the other term, this is represented by 
Now, we can just set f(x) and g(x) to these functions:

Now, just to make sure, we can plug a value into k(x) and the same value into f(g(x)). Plugging in 1, we have (2(1)+4)2 as 2(2+4), which is 2(6) = 12.
Plugging 1 into f(g(x)), we can evaluate g(1) first, to get 1 + 2 = 3. Now, f(3) = 4(3)= 12, which is the same for k(x).
Answer:
5.41
Step-by-step explanation:
Answer:
(1)


(2)


Step-by-step explanation:
Solving (1):
Considering

We have:

This gives:

Solve for a


So:


To solve for b, we make use of Pythagoras theorem

This gives



Collect like terms

Take LCM and solve


Take square roots

Solving (2):
Considering

We have:

This gives:

Solve for a


So:



To solve for b, we make use of Pythagoras theorem

This gives


Collect like terms


Take square roots

It takes 2/6 (two sixths) to make 1/3.