Answer:
The area of any regular polygon is given by the formula: Area = (a x p)/2, where a is the length of the apothem and p is the perimeter of the polygon.
Step-by-step explanation:
Answer: Choice C) 1/3
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Explanation:
Two points on this line are (0,2) and (3,3)
Let (x1,y1) = (0,2) and (x2,y2) = (3,3)
We can use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(3 - 0)
m = 1/3
which is why the answer is choice C. The slope of 1/3 means that each time you rise 1 unit, you run 3 units to the right. In other words,
rise/run = 1/3
Answer:
0 ≤ an ≤ bn
The series ∑₁°° bn converges
The series ∑₁°° an converges by comparison to ∑₁°° bn.
0 ≤ an ≤ bn
The series ∑₁°° bn diverges
The comparison test is inconclusive for our choice of bn.
Step-by-step explanation:
an = 1 / (n² + n + 3) and bn = 1 / n²
The numerators are the same, and the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p > 1, so it converges.
Since the larger function converges, the smaller function also converges.
an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)
If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn. So 0 ≤ an ≤ bn.
bn is a p series with p = 1, so it diverges.
The larger function diverges. We cannot conclude whether the smaller function converges or diverges.
Answer:
<=> 5x = 3y - 8
3y + 10 = 0 or y - 6 = 0
<=> 5x = 3y - 8
y = -10/3 or y = 6
+) with y = -10/3 => 5x = -10 - 8 <=> 5x = -18 <=> x = -3.6
+) with y = 6 => 5x = 3.6 - 10 = 8 <=> x = 8/5 = 1.6
Step-by-step explanation:
