6. Expand the left side:
Recall the Pythagorean identity,
which leaves us with
Recall the angle sum formula for cosine:
which gets us to where we need to be:
and we're done.
7. A. The formulas you need are
This gives
7. B. Solving for gives
which holds for
where is any integer.
7. C. Factorize as
From here, we have
which hold for
where is any integer.
Answer:
7x^2+21x+14
Step-by-step explanation:
With this all we have to do is foil:
first outside inside last
first: 7x^2
outside: 14x
inside: 7x
last: 14
we now combine them to
7x^2+14x+7x+14
we add like terms
7x^2+21x+14
Answer:
9 nickles
15 dimes
21 quarters
Step-by-step explanation:
Number of nickels = N
Number of dimes = D
Number of quarters = Q
The following system can be modeled based of the given information:
Solving the system:
The collection consists of 9 nickels, 15 dimes and 21 quarters.
The answer to that equation is 64. Hope this helps!
i think it is false cause i dont know i geuss