Answer:
3
Step-by-step explanation:
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) 
When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.
In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

b) 
What are the common terms here?
It can be seen that each of these share a 2x, so our factored form would be

c) 
What about this one?
The common factor of this one is 5x, so our factored form would be

d) 
The common factor of this one is
, so our factored form would be

Since we are given the lengths of 2 sides with the angle in
between, therefore by cosine law we can only construct 1 triangle from this. By
stating the angle in between, this constricts the possible number of triangles
that can be formed into 1.
By calculation, the length of the 3rd side is
calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Answer:
3.25 + 5.50S is less than or equal to 30