Find the radius and the center of the circle with the given equation x^2+y^2−8x−2y=48.

Answers

Answer 1

Step-by-step explanation:

x²+y²−8x−2y=48

the radius => √[(8/2)² + (2/2)² +48] =

√(16+1+48) =65

the center => (8/2, 2/2)

=> (4, 1)


Related Questions

A submarine is at 200 meters below sea level to begin its mission. Then, it dives to a depth of 4 times its initial depth.Where is the submarine now located

Answers

Answer:

1000 meters below sea level

Step-by-step explanation:

Since the submarine dives at a depth of 4 times 200 meters, then it dives 800 meters.

Sso the submarine now is at 200 meters + 800 meters =1000 meters below sea level.

If the hypotenuse of a right triangle is 6 m and the one side is 4 m, what's the length of the other side?

Answers

Step-by-step explanation:

We can use the Pythagorean theorem to solve for side b:

[tex]c^2 = a^2 + b^2 \Rightarrow b^2 = c^2 - a^2[/tex]

or

[tex]b = \sqrt{c^2 - a^2} = \sqrt{(6\:\text{m})^2 - (4\:\text{m})^2}[/tex]

[tex]\:\:\:\:= 4.47\:\text{m}[/tex]

Answer: 2√5 or 4.47213595

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2  

(a and b are the measures of the legs and c is the measure of the hypotenuse.)

Let's solve for a (the length of the other leg)  

*I hope that m is not a variable and just an abbreviation for meters.

b = 4 m  

c = 6 m

a^2 + 4^2 = 6^2

a^2 + 16 = 36

a^2 = √20

a = 2√5 = 4.47213595

On August 10, 1936, a temperature of 120ºF. was recorded un Ponds, Arkansas. On Febrery 13, 1905, Ozark, Arkansas, recorded a temperature of -29ºF. What is the difference between these two temperatures?

Answers

Answer:

47

Step-by-step explanation:

Answer:

is this cold for - Febrery for August this 120 F

Step-by-step explanation:

Someone help answer this hehe tysm

Answers

Answer

4

Step-by-step explanation:

Help guy what is 57.3 - 4.32 =

Answers

The answer is 52.98
If you want the steps I’ll comment them just tell me

Answer:

52.98

Step-by-step explanation:

Subtract the decimal, which would leave you with 56.98, and then subtract the whole number.

Hope this helped! ♡


Rita needed to solve t problem for homework. Below is the problem and her work. Is she correct? Why or Why
not?

Answers

there’s no image added :(

Will give brainliest answer

Answers

9514 1404 393

Answer:

  x = 1.129 (Table I)

  x = 13 (Table II)

Step-by-step explanation:

Log and exponential functions are inverses of each other. For each ordered pair (a, b) in Table I, there could be an ordered pair (b, a) in Table II. (Some corresponding pairs are missing.)

All you have to do here to locate the missing value is to find the corresponding pair in the other table.

  (x, 9) in Table I ⇔ (9, 1.129) in Table II . . . . . . . x = 1.129

  (x, 1.318) in Table II ⇔ (1.318, 13) in Table I . . . . x = 13

f(x) = -5x + 8
evaluate and simplify the difference quotient.

Answers

In general, the difference quotient is [tex]\dfrac{f(x+h)-f(x)}{h}[/tex].

Before we evaluate all of that, we need to find the two top pieces individually.

     [tex]\begin{aligned}\\f(x+h) &= -5(x+h)+8 \\[0.5em]&= -5x-5h+8\\\end{aligned}[/tex]

and

    [tex]f(x) = -5x+8[/tex]

We'll plug that back into the difference quotient:

    [tex]\begin{aligned}\dfrac{f(x+h)-f(x)}{h} &= \dfrac{(-5x-5h+8)-(-5x+8)}{h}\\[0.7em]&= \dfrac{-5x-5h+8+5x-8}{h}\end{aligned}[/tex]

Can you take it from there?

7x+2=9x-1 solve equations

Answers

Answer:

7x + 2 = 9x - 1

7x - 9x = -1 - 2

-2x = -3

2x = 3

x = 3/2

Trevor has 40 contacts in his phone. Six are coworkers, 8 are
family members, and 26 are friends. If Trevor accidentally
calls a random contact, what is the probability he will call a
friend?

Answers

Answer:

0.65

Step-by-step explanation:

There are 26 friends on his phone.

There's a total of 40 contacts.

P(Friend) = 26/40

P(Friend) = .65

What is -78/104, does the negative turn into a positive?

Answers

That is -0.75 And no it stays negative

PLEASE HELP WITH THIS

Answers

Answer:

x = 7

Step-by-step explanation:

178 =14x - 11 +12x + 7

178 = 26x - 4

182 = 26x

x = 7

Write four and three hundred seventy-seven thousandths as a decimal number.

Answers

Step-by-step explanation:

Four and three hundred seventy seven thousandths as decimal number is 0.4377

What is profit in an economic system?(1 point) Profit is the net change in the value of the economy due to an exchange. Profit is the net change in the value of the economy due to an exchange. Profit is the financial gain resulting from an exchange. Profit is the financial gain resulting from an exchange. Profit is the investment a producer makes in the economy to achieve financial gain. Profit is the investment a producer makes in the economy to achieve financial gain. Profit is the investment a consumer makes in the economy to achieve financial gain. Profit is the investment a consumer makes in the economy to achieve financial gain.

Answers

In an economy system, profit is the financial gain resulting from an exchange.

Profit in layman language means an amount gain for a transaction offered.

The term "Profit" is different in both accounting and economic view.

Profit in an economic system mean difference between the revenue realized from a sale of an output and the costs spent on inputs

Opportunity costs & explicit costs are all considered when computing profit in economic system.

Learn more about Profit here

brainly.com/question/15699405

Average rate of change [9,49] [25,81] with chart

Answers

Over [9, 49], the average rate of change of g(x) is

[tex]\dfrac{g(49) - g(9)}{49 - 9} = \dfrac{14 - 6}{49 - 9} = \dfrac8{40} = \boxed{\dfrac15}[/tex]

Over [25, 81], it would be

[tex]\dfrac{g(81) - g(25)}{81 - 25} = \dfrac{18 - 10}{81 - 25} = \dfrac8{56} = \boxed{\dfrac17}[/tex]


What is number 3 please

Answers

A as I think it would be but it’s been a sec

ASAP Please! Someone help! Thank you!!! Suppose the following data set contains the monthly adjusted stock prices for technology company A, and a consumer-goods company B from 2013–2018.
Asking for Covariance and Correlation Coefficient!
Date A B

6/1/2013 43.44 63.71

7/1/2013 49.71 66.54

8/1/2013 53.60 64.98

9/1/2013 56.00 63.00

10/1/2013 60.40 67.44

11/1/2013 64.32 70.99

12/1/2013 67.69 68.55

1/1/2014 60.29 64.40

2/1/2014 63.43 66.68

3/1/2014 67.57 68.38

4/1/2014 74.39 70.08

5/1/2014 79.87 69.11

6/1/2014 85.47 67.17

7/1/2014 87.95 65.05

8/1/2014 94.37 71.73

9/1/2014 93.21 72.29

10/1/2014 99.99 75.42

11/1/2014 110.21 78.84

12/1/2014 102.66 79.43

1/1/2015 109.03 73.35

2/1/2015 119.64 74.64

3/1/2015 116.32 71.77

4/1/2015 117.00 69.58

5/1/2015 121.84 69.14

6/1/2015 117.76 69.01

7/1/2015 113.85 67.61

8/1/2015 105.91 62.66

9/1/2015 103.91 63.82

10/1/2015 112.66 67.89

11/1/2015 111.51 67.09


Date A B

12/1/2015 99.54 71.31

1/1/2016 91.98 73.42

2/1/2016 91.35 72.77

3/1/2016 103.67 74.65

4/1/2016 88.02 72.61

5/1/2016 94.90 74.09

6/1/2016 91.37 77.49

7/1/2016 99.69 79.36

8/1/2016 101.51 80.62

9/1/2016 108.82 82.92

10/1/2016 109.30 80.13

11/1/2016 106.36 76.63

12/1/2016 112.09 78.17

1/1/2017 117.49 81.53

2/1/2017 132.76 85.53

3/1/2017 139.88 84.35

4/1/2017 139.87 81.93

5/1/2017 148.80 81.31

6/1/2017 140.82 82.40

7/1/2017 145.45 84.95

8/1/2017 160.49 88.06

9/1/2017 151.36 85.80

10/1/2017 166.11 80.27

11/1/2017 169.88 83.49

12/1/2017 166.90 88.35

1/1/2018 165.11 82.90

2/1/2018 175.72 72.80

3/1/2018 166.14 73.55

4/1/2018 163.63 71.68

5/1/2018 186.86 82.31

Answers

9514 1404 393

Answer:

covariance: 168.30correlation coefficient: 0.688

Step-by-step explanation:

A spreadsheet is made for this sort of computation. Copy the data to a spreadsheet. Use the "text to columns" feature to separate the data from the dates, and to put the A and B data in different columns.

Then use the spreadsheet built-in covariance and correlation functions to find the values of interest.

In the attachment, we have hidden the middle 50 rows of data to make it easier to select the range of data required for the functions we're using. (In many spreadsheets, you can name a range, so you only need to refer to it by name.)

The formulas we used are ...

  in D2: =COVAR(B2:B61,C2:C61)

  in D3: =CORREL(B2:B61,C2:C61)

_____

Additional comment

Graphing calculators and spreadsheets are essential technology tools. While it can take a bit of study to learn all of the features in depth, you can usually learn enough in a few minutes to be able to make use of these tools to solve many problems. In most cases, videos are available.

The Go.ogle Sheets application works in a browser and is free. That's what was used here. Other free office-type applications (word processor, spreadsheet, and so on) are also available for download to computer, tablet, or phone. (I find it tedious to use these apps on a phone.)

Pls help me, i have to submit it in 1 hour
i'll give u 100 points :)

Answers

Answer:Mark as brainliest please

Step-by-step explanation:

better value for 15.3 ounce cereal

Answers

In the second case you have $4.59 per 20 ounces
Thus take 4.59 / 20 and you get $0.2295 per ounce or almost 23 cents per ounce

Hope it helps

1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.
2.) Find the length of arc with parametric equations x = 3 cos t, y = 3 sin t from t=0 to t=⛩

Answers

I believe I've addressed (1) in another question of yours (24529718).

For (2), the arc length of the curve parameterized by x(t) = 3 cos(t ) and y(t) = 3 sin(t ) over 0 ≤ t ≤ π is

[tex]\displaystyle \int_0^\pi \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2 + \left(\frac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt[/tex]

We have

[tex]\dfrac{\mathrm dx}{\mathrm dt} = -3\sin(t) \text{ and }\dfrac{\mathrm dy}{\mathrm dt} = 3\cos(t)[/tex]

so that the integral reduces to

[tex]\displaystyle \int_0^\pi \sqrt{9\sin^2(t) + 9\cos^2(t)}\,\mathrm dt = 3\int_0^\pi\mathrm dt[/tex]

since [tex]\cos^2(t)+\sin^2(t)=1[/tex] for all t. The remaining integral is trivial:

[tex]\displaystyle 3\int_0^\pi\mathrm dt = 3t\bigg|_0^\pi = 3(\pi-0) = \boxed{3\pi}[/tex]

Find an equation for the nth term of the arithmetic sequence.
-15, -6, 3, 12, ...

Answers

The Answer is:

an = -15 + 9(n - 1)

Help me with one guys

Answers

Step-by-step explanation:

sqrt(50) - irrational. sqrt(50) = sqrt(25×2) = 5×sqrt(2).

sqrt(2) is the prime example of an irrational number (infinite positions after the decimal point, no repeating patterns).

3.45656565656... - rational. although it is infinite, it has had a repeating pattern that allows us to write it as fraction.

0 - rational. as every integer or whole number.

sqrt(4/9) = 2/3 - rational as expressed as fraction.

0.38 - rational. it is a finite decimal number, and can be easily expressed as fraction (like 38/100).

sqrt(81) = 9 - rational. again, as every integer or whole number.

2pi - irrational. pi is a prime example of an irrational number (infinite and no repeating pattern). not possible to write as fraction. Any combination of pi is also irrational.

sqrt(1.69) = 1.3 - rational. finite decimal that we can easily write also as fraction (like 13/10).

sqrt(2/9) = sqrt(2)/3 - irrational, as sqrt(2) is a prime example for an irrational number. any combination with an irrational number is an irrational number.

To convert m into km we divide a number by​

Answers

Answer:

To convert m into km we divide a number by 1000

Step-by-step explanation:

To convert from metres to kilometres, divide by 1000 (since there are 1000 metres in each kilometre). To divide a whole number by 1000, put a decimal point at the end of the number and then move it three places to the left.

(01.01 LC)An athlete took forward and backward steps of equal distance to warm up before his race. After taking 10 steps total, he was back at his starting position. How many steps did the athlete take in the forward and backward directions?

I would love the help.

Answers

9514 1404 393

Answer:

5 steps forward5 steps backward

Step-by-step explanation:

In order for the total displacement to be zero, the amount of forward displacement must be equal and opposite to the amount of backward displacement. Since the steps are the same length, they must be equal in number.

Half of the 10 steps were forward, and the other half were backward.

  5 steps forward; 5 steps backward.

_____

Additional comment

Math develops from an effort to model the real world. It would probably give you some insight into this problem if you were to physically take some steps to see how many forward and backward you would need to end where you start.

A population of rabbits at time t increases at a rate of 40-12t+3t^2 rabbits per year where t is measured in years. Find the population after eight years if there are 10 rabbits at t=0?

Answers

We have to find derivative of t

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-12t+4[/tex]

[tex]\boxed{\sf \dfrac{d(x^n)}{dx}=nx^{n-1}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{d}{dx}3t^2-\dfrac{d}{dx}12t+\dfrac{d}{dx}40[/tex]

[tex]\\ \sf\longmapsto 6t-12[/tex]

Now

t=8..

[tex]\\ \sf\longmapsto 6(8)-12[/tex]

[tex]\\ \sf\longmapsto 48-12[/tex]

[tex]\\ \sf\longmapsto 36[/tex]

What rational number is halfway between 1/2 and 1/3?

Answers

Answer:

5/12

Step-by-step explanation:

1/2 is equivalent to 6/12

1/3 is equivalent to 4/12

The number halfway between 6/12 and 4/12 is 5/12.

Answer:

5/12

Step-by-step explanation:

First we want to have common denominators, and since some of our answers are in twelfths anyways, we might as well go straight to those instead of multiplying to get common denominators of sixths.

Make the denominators of the two fractions we are given into twelfths

(-multiply 1/2 by 6 on the top and bottom to get 6/12, and multiply 1/3 by 4 on the top and bottom to get 4/12.

5/12 is perfectly halway between 6/12 and 4/12 so we have our answer! :)

A company shipped 48 boxes of canned dog
food. Each box contains 24 cans. How many ca
of dog food did the company ship in all?

Answers

48 * 24=1152

the company shipped 1152 cans of dog food I think

48 boxes times 24 cans of dog food equals 1,152 cans in total

-7x - 3= 2 - 7x - 5
Step by step

Answers

Combine like terms first
-7x-7x=2-3-5
-14x=-6
Divide by -14 on both sides
X=-6/-14
X=-3/7
Hopefully this helps also I’m working on this aswell so pardon me if I’m wrong

4. A model of the Elffel Tower that was
purchased in a gift shop is 30 -
inches tall. The actual height of the
Elffel Tower is 1000 feet, or 12,000
inches. What scale factor was used to
make the model?

Answers

Answer:

400

Step-by-step explanation:

To find the scale factor, you need to find out how much the initial value was multiplied by to get the new value. To do that, you need to divide the new value by the initial value. Make sure the units are the same; don't divide 1000 feet by 30 inches!

[tex]\frac{new}{initial} = \frac{12000}{30}=400[/tex]

Hope this helps!

−∣2x+4∣+3= -4
Absolute Value Equation step by step

Answers

Answer:

x = -3/2

Step-by-step explanation:

- |2x + 4| + 3 = -4

Remove the absolute value, since you can't solve anything inside. Everything becomes negative due to the negative sign on the outside.

-2x - 4 + 3 = -4

Combine -4 + 3, which results in -1.

-2x - 1 = -4

Move -1 over to the other side through adding, which results in -3.

-2x = -3

Divide -2 by -3, which doesn't go equally, so you leave it.

x = -3/2

Go as far as you need for an answer, all will work.

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