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Pavel [41]
3 years ago
6

Given A = {a, b, c}, how many subsets does A have including ∅? a. 4 b. 7 c. 8

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
A set of n elements has 2^n subsets.

There are 3 elements in the set A, so the number of subsets is 2^3=8

You can write them out:
\{\{\}, \{a\}, \{b\}, \{c\}, \{a, b\}, \{a, c\}, \{b, c\}, \{a, b, c\}\}
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Kobotan [32]

Answer:

The answer to your question is See the attachment

Step-by-step explanation:

Equation

             (x - 8)² + (y + 5)² = 4

Process

1.- Write the standard equation of the circle

            (x - h)² + (y - k)² = r²

2.- Find the center

The center are the letters h and k

      h = 8  k = -5

3.- Find the radius

      r = 2

4.- Graph the circle ( i will use geogebra)

See below

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