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german
3 years ago
7

find the center of the circle given the question (×-2)²+(y+6)²=10? A. (2,-6) B. (-2,6) C. (2,6) D. (-2,-6)​

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

A. (2,-6)

Step-by-step explanation:

(×-2)²+(y+6)²=10

Equating it with

(×-h)²+(y -k)²=10

h = 2 & k = - 6

(h, k) = (2, - 6)

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The frequency table shows how many visits to the library students in a school have made in the last month.
vfiekz [6]
<h3>Answer:  2.8</h3>

=======================================================

Explanation:

Multiply each visit count with their corresponding frequency.

Examples:

  • 0*12 = 0 for the first row.
  • 1*366 = 366 for the second row
  • 2*53 = 106 for the third row

and so on...

I recommend making a third column like this

\begin{array}{|c|c|c|} \cline{1-3}\text{Visits} & \text{Frequency} & \text{Visits*Frequency}\\\cline{1-3}0 & 12 & 0\\\cline{1-3}1 & 366 & 366\\\cline{1-3}2 & 53 & 106\\\cline{1-3}3 & 52 & 156\\\cline{1-3}4 & 155 & 620\\\cline{1-3}5 & 243 & 1215\\\cline{1-3}\end{array}

That way you can keep track of all the results in an organized way.

Then add everything in the third column

0+366+106+156+620+1215 = 2463

Divide this sum over the total frequency (12+366+53+52+155+243 = 881) and we'll get the mean

2463/881 = 2.7956867

Rounding to one decimal place gets us to 2.8 as the final answer.

-------------

The much longer way to do this is to imagine 12 copies of "0", 366 copies of "1", 53 copies of "2", and so on. We'll have an extremely large data set of 881 items inside it. As you can see, this second method is definitely not recommended to actually carry out. Rather it's helpful to have this as a thought experiment to see why we revert to multiplication instead.

Eg: Imagine adding 155 copies of "4". A shortcut is to simply say 4*155 = 620

4 0
2 years ago
Read 2 more answers
What is the value of the y-coordinate of point A
kap26 [50]

Answer:  -\dfrac{1}{2}

<u>Step-by-step explanation:</u>

The coordinate at -30° <em>(-30° = 330°)</em> = \bigg(\dfrac{\sqrt3}{2},-\dfrac{1}{2}\bigg)\\

the x-value is  \dfrac{\sqrt3}{2}

the y-value is  -\dfrac{1}{2}\\

6 0
3 years ago
If 4y=32,what is the value of the variable y?​
Neporo4naja [7]

Answer:

y=28

7 0
3 years ago
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What is 20 as a product of three primes
nikdorinn [45]
2, 5, 2 i think.
sorry if it’s wrong!
8 0
3 years ago
The sum of x and y is eleven, their difference is five, what is the value of x and y?
REY [17]

Answer:

x = 8

y = 3

Step-by-step explanation:

x + y = 11

x - y = 5                     Subtract

2x = 16

x = 16/2

x = 8

x + y = 11                   Substitute x = 8

8 + y = 11                  Subtract 8 from both sides

8-8+y =11-8

y = 3    

5 0
3 years ago
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