1) This is not an arithmetic sequence because it has n².
2) To find 5 first terms of this sequence, you can simply substitute n with 1,2,3,4, and 5, and calculate values of a(1),a(2), a(3), a(4) and a(5).
a(n) = 3n²- 1
n=1 a=3*1² - 1 = 3-1=2
n=2 a=3*2² - 1 = 11
n=3 a=3*3² - 1 =26
n=4 a=3*4² - 1 = 47
n=5 a=3*5² -1 = 74
2,11,26,47,74
Answer C. 2,11,26,47,74.
Answer:
The roots are
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Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
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From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
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Separate the real and imaginary parts
That's
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We have the final answer as
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Hope this helps you
Answer:
Step-by-step explanation:
Based on this information, you could conclude that the annual rainfall in Falls City is generally more than that of the annual rainfall in Rockaway Beach. This is based on the information provided since the numbers given are the mean annual rainfall. Meaning that this is the average amount of rain that falls in any given year in that specific location. Since the amount provided for Falls City is a larger number then it means it gets more rainfall than Rockaway Beach on average and would therefore be the safest conclusion that can be made.
Answer:
the x is 3 and the y is -3
Step-by-step explanation:
Answer:
a)
b) (a,b) (c, d) As long as (a,b) and (c,d) are the endpoints of of the diameter.
Step-by-step explanation:
a)
1) The reduced formula of the Circumference is given by:

2) Let's expand the factored one into one closer to the pattern above:

3) Completing the square for both trinomials:

4) In the Reduced Formula,
,

b) Using the previous example to show this:
When we factor this way

We are indeed, naming "a" and "b", the coordinates of (a, b) of the first endpoint and "b" and "d" the second endpoint as well.Id est, D (2, 5) and B (6,-11).
The radius, is 
So yes, the equation of the circle can be written as

As long as (a,b) and (c,d) are the endpoints of of the diameter.
