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kherson [118]
3 years ago
15

What are the coordinates of the center of a circle whose equation is (x + 7)2 + (y – 5)2 = 16?

Mathematics
1 answer:
Dafna11 [192]3 years ago
6 0
Hi there! The answer is ( - 7, 5)

The standard form of the equation of a circle is the following:
(x - a) {}^{2}  + (y - b) {}^{2}  = r {}^{2}

In this equation r represents the radius of the circle and the point (a, b) is its centre.

Therefore, the centre of the circle
(x + 7) {}^{2}  + (y - 5) {}^{2}  = 16
is the point ( - 7, 5).
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antiseptic1488 [7]
In order to answer the above question, you should know the general rule to solve these questions.
The general rule states that there are 2ⁿ subsets of a set with n number of elements and we can use the logarithmic function to get the required number of bits.
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a). <span>What is the minimum number of bits required to store each binary string of length 50?
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                                                     log₂(2⁵⁰) <span>= 50 bits.

b). </span><span>what is the minimum number of bits required to store each number with 9 base of ten digits?
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Answer: In this situation, we have n = 50. Therefore, 10⁹ numbers with 9 base ten digits are there and so it would require:

                                                     log2(109)= 29.89 
<span>                                                                     = 30 bits. (rounded to the nearest                                                                                                                        whole #)

c).  </span><span>what is the minimum number of bits required to store each length 10 fixed-density binary string with 4 ones?
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Answer: There is (10,4) length 10 fixed density binary strings with 4 ones and
so it would require:
                                                     log₂(10,4)=log₂(210) = 7.7
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