Answer:
a) 
b) 
c) 
d) There are two possible answers only considering real coefficients:
(i) 
(ii) 
e) 
Step-by-step explanation:
Now we proceed to solve each algebraic equation:
a) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



b) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



c) Nicole is factoring
by using the rule
. What will she use for the value of
?
From this rule we find that
, that is:




d) Which binomial is a difference of squares?
A binomial is a difference of square if and only if
. There are two possible answers only considering real coefficients:
(i) 
(ii) 
e) Factor 
This binomial is of the form
. In this case, we can rewrite and factor the equation below:



AnswerAnswerAnswerAnswer: C = πd = 65π = 204.2 cm
Step-by-step explanation: C = pi*d
where d is the diameter.
First we get the circumference, then we multiply it by the number of revolutions, which is 20:
C = 3.14 * 65
C = 204.1 cm (this is only equal to 1 revolution)
Therefore, total distance travelled in after 20 revolutions is
204.1 * 20 = 4082 cm
Answer:
9 1/2
Step-by-step explanation:
9 and a half