We divide the total set into several sub-sets (subgroups) that contain the exact same number of members. This way we know the number of total members by adding the number of total subsets.
9×18 rectangle plus a (18-6-6)×4 right triangle
Area = 9×18 + (1/2)×6×4 = 174
Answer: 174 sq ft
An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction, as shown below:
Answer:
Factoring the expression 
completely we get 
Step-by-step explanation:
We need to factor the expression completely
We need to find common terms in the expression.
Looking at the expression, we get 
is common in both terms, so we can write:
So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
So, we get:
Therefor factoring the expression completely we get
