2a−3=7
Add 3 to both sides.
2a−3+3=7+3
2a=10
Divide both sides by 2.
2a / 2 = 10 / 2
a=5
They have a common factor of 6
Answer: The polynomial 3x^2 is a monomial with a degree of 2.
The polynomial x^2y + 3xy^2 + 1 is a trinomial with a degree of 3.
I assume your question amounts to finding the period of f(t)=8sin(4 pi t). A period L is a positive number such that f(t+L)=f(t) for all t. Since sin(x) is 2 pi perodic we can find the least number L such that 4pi(t+L)=4*pi*t+2*pi. Multiplying out we get
4pi(t+L)=4*pi*t+4*pi*L and we want to find L such that we get 4*pi*t+2*pi, notice if we take L=1/2 we get the desiered result 4*pi*t+4*pi*1/2=4*pi*t+2*pi. This proves that L=1/2 and your function has a period of 1/2.
