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KatRina [158]
1 year ago
6

If your good with set theory, i need help with the first four questions!

Mathematics
1 answer:
Nat2105 [25]1 year ago
7 0

1. D: The overlap of the two sets represents the intersection, which is the set of elements common to both sets <em>M</em> and <em>C</em>. In this case, it's the set {4, 5, 6}.

2. D: <em>P</em> is the set of the first 100 multiples of 8 (8*1 = 8, 8*2 = 16, and so on)

3. C: <em>n</em>(<em>A</em>) represents the number of elements in the set <em>A</em>. When

n(A\cup B)=n(A)+n(B)

that means the sets <em>A</em> and <em>B</em> are disjoint, represented by the two circles with no overlap.

4. E:

A\cup B is the set of elements belonging to either set <em>A</em> or <em>B</em>. The three elements of <em>A</em> are all in <em>B</em>, so <em>A</em> is a subset of <em>B</em>. This means A\cup B=B.

Because <em>A</em> is a subset of <em>B</em>, we have A\cap B=A.

(A\cup B)' is the complement of A\cup B, which refers to the set of elements *not* belong to A\cup B. These are all the numbers in <em>U</em> that are not in this union, which would be (A\cup B)'=\{3,13\}.

Because we know A\cup B=B, we have (A\cup B)'=B'.

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Answer: option 2 is the correct answer.

Step-by-step explanation:

The marks on each side of the polygon represents equality. It means that all the sides of the polygon are the same. Since the total number of sides that the polygon has is 8, then it is a regular octagon.

The perimeter of a plane shape is the distance around it. The perimeter of the octagon is given as cm, this means that the length of each side would be

48/8 = 6 cm

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Suppose a circle with center (14, 9) passes through point (16, 12). Which equation represents the circle? A) (x + 14)2 + (y − 9)
MissTica

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C. ( x - 14 )2 + ( y - 9 )2 = 13

Step-by-step explanation:

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