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Rasek [7]
3 years ago
6

HELP ASAP Write the equation in standard form for the circle x2 + 32 = -y² + 12x.

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0

Step-by-step explanation:

Move

26

to the right side of the equation because it does not contain a variable.

3x2−12x−2y2+16y=26

Olegator [25]3 years ago
7 0

Answer:

(x - 6)² + y² = 4

Step-by-step explanation:

x² + 32 = -y² + 12x

Rearrange

x² - 12x + y² = -32

Complete the square for x

(x - 6)² + y² = -32 + (-6)²

(x - 6)² + y² = -32 + 36

(x - 6)² + y² = 4

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There are 2112 people in a concert.
nadya68 [22]

Answer:

75% of 352 children are boys

Step-by-step explanation:

If 5/6 of the people participaticipants to a concert are adults then 1 out of 6 prople are children so we may reach a number of 2112:6=352 children

if 25% of the children are girls then 75% are boys

88×3=264 boys

7 0
3 years ago
156872/3756 quotient remainder
andreev551 [17]
41.8 rounded to the nearest tenth

3 0
3 years ago
If U = the set of odd natural numbers and B = {13, 15, 17, 19, 21, 23, . . .}, find B′.
Yuki888 [10]

Answer:

{1,3,5,7,9,11}

Step-by-step explanation:

B' stands for the complement of B.

B' means set elements in the universe that aren't in B.

Here is the universe:

U={1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,...}

(The dots mean it continues with that pattern forever and ever.)

And the elements we taking out:

B={13,15,17,19,21,23,...}

So we taking out the odd numbers from U that are odd and greater than or equal to 13. (The dots mean it continues with that pattern forever and ever.)

So B' is the set of natural odd numbers that are less than 13:

{1,3,5,7,9,11}

8 0
3 years ago
Read 2 more answers
Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu . assum
attashe74 [19]

To solve for the confidence interval for the population mean mu, we can use the formula:

Confidence interval = x ± z * s / sqrt (n)

where x is the sample mean, s is the standard deviation, and n is the sample size

 

At 95% confidence level, the value of z is equivalent to:

z = 1.96

 

Therefore substituting the given values into the equation:

Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)

Confidence interval = 3 ± 1.59

Confidence interval = 1.41, 4.59

 

Therefore the population mean mu has an approximate range or confidence interval from 1.41 kg to 4.59 kg.

6 0
3 years ago
Please Help! I need an explanation for how to do this... Step-by-step directions would be great!
spin [16.1K]
\dfrac{8x^2y^2-4xy^2}{4xy}=\\
\dfrac{8x^2y^2}{4xy}-\dfrac{4xy^2}{4xy}=\\
2xy-y

8 0
3 years ago
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