Answer:
If P is a subset of Q, then by definition, every element of P is an element of Q. So, as Q contains P, every element in either P or Q is in Q, so the union is Q. For the second, every element of P and Q is in P, so the intersection is P.
Step-by-step explanation:
Answer:
Right angle
Step-by-step explanation:
90 degrees is a Right angle
Drop parentheses -7a-19c+12a+30c+21a-11a
Combine like terms -18a-19c+33a+30c
Combine like terms (again) 15a+11c
Simplified, this expression is 15a+11c
Answer:
79.617...
Step-by-step explanation:
When you are trying to find the circumfrence you do c=πd
So to find the diameter you reverse it
Since you already know the 250 feet you divide it by π
You then get 79.6
Answer:
x=2 is the only solution
Step-by-step explanation:
The given expression is;
Add 1 to both sides of the equation;
Square both sides ;
This implies that;
Split the middle term
x=-3,or x=2
Check for extraneous solutions by substituting into the original equation.
When x=-3,
This is an extraneous solution.
When x=2,
. This is true
This is not an extraneous solution
