Answer:
Step-by-step explanation:
y = ax² + bx + c
Plug the points into the equation to get a system of 3 equations with 3 unknowns a, b, and c.
-27 = 4a - 2b + c
-42 = 9a + 3b + c
-12 = a + b + c
(a,b,c) = (-4,1,-9)
y = -4x² + x - 9
Answer:
"The next term should be 11"
Step-by-step explanation:
If we look closely at the sequence we can see:
second term is 3 more than previous
third term is 2 less than previous
fourth term is 3 more than previous
fifth term is 2 less than previous
We can see a pattern. To get next terms, we add 3, to get next to that, we subtract 2. It goes on like this.
Since 4th term to 5th term is "subtracting 2", logically 5th to 6th term (the term we are wanting) should be "add 3". So the term after 8 would be 11
The next term would be 11
Answer:
Blank 1: opposite
Blank 2: adjacent
Blank 3: opposite
Blank 4: adjacent
Step-by-step explanation:
There is a trigonometric acronym for this which is:
Soh Cah Toa
Soh means that sine is opposite over hypotenuse.
Cah means that cosine is adjacent over hypotenuse.
Toa means that tangent is opposite over adjacent.
Let me actually write these out as fractions:
sine is 
cosine is 
tangent is 
Blank 1: opposite
Blank 2: adjacent
Blank 3: opposite
Blank 4: adjacent
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