Answer: The angle is in the second quandrant
Step-by-step explanation:
If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.
For quadratics, these formulas are used mainly for factoring.
Your equation can be written as ...
... 2(x² +2x -3) = 0
You factor this by looking for factors of -3 (c=x1·x2) that add to give +2 (b=-(x1+x2)). These are {-1, +3}, so the factorization is ...
... 2(x -1)(x +3) = 0
The roots are then 1 and -3, which sum to -b = -2.
(You will note that the numbers used in the binomial factors are the opposites of the roots x1 and x2 in the Viete's Formulas. That is how we can look for them to sum to "b", rather than "-b".)
Answer:
see explanation
Step-by-step explanation:
Consider perfect squares either side of 60, that is
49 < 60 < 64, thus
< 
< 
, that is
7 < < 8
60 is closer to 64 than it is to 49
≈ 8 ← integer approximation
Step-by-step explanation:
the answer is two multiply every one of these ingredients by 3 and you will have your answer
Greatest is Ava
Mary is in the middle
least is Phoebe
One kilogram is equal to 1000 grams so if you know that the rest of the problem is easy to figure out :)
