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Nikolay [14]
3 years ago
10

The standard form of the equation of a circle is (x−3)2+(y−1)2=16.

Mathematics
2 answers:
____ [38]3 years ago
8 0
Use:(a-b)^2=a^2-2ab+b^2\\\\(x-3)^2+(y-1)^2=16\\\\x^2-2\cdot x\cdot3+3^2+y^2-2\cdot y\cdot1+1^2=16\\\\x^2-6x+9+y^2-2y+1=16\\\\x^2+y^2-6x-2y+10=16\ \ \ |-16\\\\\boxed{x^2+y^2-6x-2y-6=0}
mash [69]3 years ago
6 0

Answer:

General Form: x^2+y^2-6x-2y-6=0

Option 1 is correct.

Step-by-step explanation:

The standard form of the equation of a circle is (x−3)²+(y−1)²=16

The general form of circle: x²+y²+2gx+2fy+c=0

Formula:

(a-b)^2=a^2-2ab+b^2

(x-3)^2+(y-1)^2=16

x^2-6x+9+y^2-2y+1=16

x^2+y^2-6x-2y-6=0

General Form: x^2+y^2-6x-2y-6=0

Standard form: (x-3)^2+(y-1)^2=16

Hence, The General Form: x^2+y^2-6x-2y-6=0

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Step-by-step explanation:

the area is

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increasing the length by 30% means multiplying the original length by 1.3.

increasing the width by 10% means multiplying the original width by 1.1.

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length × 1.3 × width × 1.1 = length × width × 1.3×1.1 =

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2 years ago
How many times smaller is 2 x 10-13 than 4 x 10-10
polet [3.4K]

Answer:

30/7

Step-by-step explanation:

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3 years ago
Lynn has a box of crayons.
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Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

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\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

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7 0
2 years ago
ANSWER PLEASE...
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4 0
2 years ago
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You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h
damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

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The expected value of the binomial distribution is:

E(X) = np

The variance of the binomial distribution is:

V(X) = np(1-p)

The standard deviation of the binomial distribution is:

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\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2

Standard deviation 3.2

5 0
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