The argument is valid by the law of detachment.
34.12 thirty four=34 and=. twelve hundredths=.12
This is a way to factoring trinomials (there exist different equivalent methods).
Multiply the trinomial but the term accompanying . This is the second line. Then, you could take the square of the 
, ant try to create a factor () () that will correspond to the expression in the second line. That is, we want 
In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have 
The last step is divide by the number that we multipy in the first step.
Answer:
N=p(x)-14
As you didnt gave value of x so i Didnt got constant value
Let the length of the 1st line segment = x
then the length of the second line segment = 4x + 5
The difference in their lengths = 35
so 4x + 5 - x = 35 ... [longer - shorter = 35]
3x = 30
x = 10
so the shorter (1st) line segment is 10 cm long
and the longer (2nd) line segment is 4 * 10 + 5 = 45 cm long
