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svet-max [94.6K]
3 years ago
10

Convert from general form to standard form x^2 + 4y^2 + 6x-40y+9 =0​

Mathematics
1 answer:
Burka [1]3 years ago
7 0

x^2 + 4y^2 + 6x-40y+9 =0\\x^2 + 6x+9+4y^2-40y=0\\x^2+6x+9+4y^2-40y+100-100=0\\(x+3)^2+(2y-10)^2=100

P.S. Hello from Russia

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What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
Bond [772]
Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
13 distance 3 squared = 9
13 distance 3 squared = 9
22 distance 6 squared = 36
11 distance 5 squared = 25
20 distance 4 squared = 16

Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

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Answer C is your answer.
7 0
4 years ago
The length of a rectangular prism is 8
Lena [83]
Surface area is:

W=width
L=length
H=height

S=2*(L*W+L*H+W*H)

replacing the values

250=2*(8*W+8*1+W*1)

250=2*(8*W+8+W)

250=2*(9*W+8)

dived each member by 2

125=9W+8

9W=125-8

9W=117

\boxed{\boxed{W=13~unit~of~measure}}

The volume of a rectangular prism is

V=L*H*W

V=8*1*13

\boxed{\boxed{V=104~unit~of~volume}}
3 0
4 years ago
Help please. I don’t understand this topic
dusya [7]
The second option is your answer. 

2(1) - 3 = 2 - 3 = - 1

2(2) - 3 = 4 - 3 = 1

2(3) - 3 = 6 - 3 = 3

2(4) - 3 = 8 - 3 = 5

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3 years ago
Matt has $39.25 to spend on drum classes. Each
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Answer:

The equation is, y = 9x + 3.25 and spending $39.25 will give him 4 classes.

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3 years ago
3. A car starts a trip with 20 gallons of gas in its tank. The car traveled at an average
Helga [31]

Answer:

32.5%

Step-by-step explanation:

first we will have to calculate how much miles the car traveled, to do that we will multiply the speed by hour long the car was traveling for which is

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195/30=6.5

6.5 gallons is 32.5% of 20 gallons

6.5/20=0.325

0.325 * 100 = 32.5%

3 0
4 years ago
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