Find the center and radius of the circle with the equation: (x-5)^2+(y+1)^2=4

Answers

Answer 1

Answer:

Centre (5,-1) radius =2

Step-by-step explanation:

(x-5)^2+(y+1)^2=4

The standard equation of the circle is

(X-a)^2+(y-b)^2=r^2

Where a,b is centre of the circle and r is the radius of the circle

Compare the equations

So we get a=5,b=-1 and r=2

Centre (5,-1) radius =2


Related Questions

Activity: Which Tour Is It?
Instructions: Read the examples of tours below. Use the space provided to answer
each question.
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?

Answers

Answer:

Step-by-step explanation:

hi im new im not sure what to do but yea

Can you help me with this thanks

Answers

Answer:

no

Step-by-step explanation:

You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value? Why or why not? ​

Answers

The correlation Coefficient gives the measure of the strength and direction of the relationship between two variables. - 0.833 depicts a strong negative relationship. Hence, one can be confident that the predicted value will be close to the actual Value.

The Correlation Coefficient, R ranges from - 1 to 1, with values closer to - 1 and 1 representing strong negative and positive relationship respectively, which is only achieved of the data is modeled very well.

Therefore, since, - 0.833 is a strong correlation Coefficient, then we can be confident in the predicted value.

Learn more : https://brainly.com/question/19805544

y = 1/8 x+3
A) Slope: 8; y-intercept: 3
B) Slope: 1/3; y-intercept: 1/8
C) Slope: 1; y-intercept: 1/8
D) Slope: 1/8; y-intercept: 3​

Answers

Answer:

Its D

Step-by-step explanation:

Slope intercept form is y=MX +B

if you plug it in, it would be y=1/8x+3 meaning 1/8 is the slope (m) and 3 is the y intercept (b)

In a study, a random sample of 2625 US adults were asked whether they agree or disagree that there is "only one true love for each person." The response and gender of the participants is shown in Table 1.


Male Female Total

Agree 372 363 735

Disagree 807 1005 1812

Don't know 34 44 78

Total 1213 1412 2625


Table 1 Is there only one true love for each person?


(a) Use the information in the table to construct a confidence interval for the difference in the proportion who agree, between males and females, using the fact that the standard error for the difference is .


Round your answers to three decimal places.


The 95% confidence interval is

to

.


(b) Is it plausible that there is no difference between males and females in the proportion who agree that each person has only one true love?

Answers

Using the information given, it is found that:

a.

The standard error for the difference is of 0.0176.

The 95% confidence interval is 0.0151 to 0.0841.

b.

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

What is the distribution of differences for the proportion of males and females?

For males, we have that:

[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]

For females, we have that:

[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]

The distribution of differences has mean and standard error given by:

[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]

What is the confidence interval?

It is given by:

[tex]p \pm zs[/tex]

z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.

Then:

[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]

[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]

The 95% confidence interval is 0.0151 to 0.0841.

Item b:

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

More can be learned about confidence intervals at https://brainly.com/question/16162795

A machinr in a factory produces 600 units each hour. How many units does the machine produce per minute?

Answers

Answer:

10 units

Step-by-step explanation:

600 units= 1 hour

1 hour= 60 minutes

600 units= 60 minutes

1 minute=600/60

1 minutes =10 units

Hope this helped! :)

You spend half of your money on a movie ticket. Then you spend half of what you have left to buy a large popcorn. Then you spend half of what remains to buy a small drink. Which expression equals the fraction of money you have left?​

Answers

Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

How many quarts are in 3.75% of 20 gallons?

Answers

Answer:

3 quarts

Step-by-step explanation:

Answer:

There are 3 US Quarts in 3.75% of 20 gallons.

graph the image of S (7, 8) after a reflection over the x-axis

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. Points that were above the axis are reflected to be the same distance below the axis.

PLEASE HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D PLS ANSWER I AM SOOOOOO CONFUSED!

Answers

Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in [tex] y = kx [/tex].

Unit rate or k = y/x

Using the point, (4, 1),

k = [tex] \frac{1}{4} [/tex]

Substitute k = ¼ in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = \frac{1}{4}x [/tex]

8. The graph Franco made is incorrect.

The equation, [tex] y = -x [/tex], shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, [tex] y = -x [/tex] is not correct.

9. a. Proportional relationship can be represented as [tex] y = kx [/tex]. To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = 12x [/tex]

b. We know an equation is represents a proportional relationship, when it is tales the form, [tex] y = kx [/tex]. Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

What are 2 ratios equivalent to 3:12

Answers

Answer:

6/24

Step-by-step explanation:

Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.

Hope this helps you.

Mark as Brainliest Please.!!!

3 pound pork lion can be cut into 10 pork shots of equal weight how many ounces in each pork shop

Answers

4.8 ounces in each. Hope this helps!

Answer:caca

Step-by-step explanation:

poop

24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5​

Answers

Answer:

ŷ = 0.1197X + 9.2741

11.9 seconds

Step-by-step explanation:

Given the data:

Average number of leg press Repetition and average 40 yard dash line

Leg press rep (x) : 12 32 7 26 28 15 1

40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

Using the linear regression calculator :

The equation of the line of best fit obtained is :

y = 0.1197X + 9.2741

Where;

x = leg press (predictor variable)

y = 40 yard dash (predicted variable)

Slope = 0.1197

Intercept = 9.2741

How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

22 leg press Repetitions = x

From the line of best fit equation :

y = 0.1197(22) + 9.2741

y = 11.9075

y = 11.9 seconds

The lines of best fit is the trend line of the dataset.

The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds

(a) The equation of the line of best fit

The table is given as:

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is:

[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places

(b) The number of seconds for 22 leg-press reps

This means that x = 22.

So, we have:

[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]

[tex]\mathbf{y =2.64 + 9.274}[/tex]

[tex]\mathbf{y =11.914}[/tex]

Approximate to the nearest tenth

[tex]\mathbf{y =11.9}[/tex]

Hence, the time for 22 leg-press reps is 11.9 seconds

Read more about linear regressions at:

https://brainly.com/question/18405415

191.0
Find the number with the given prime factorization.
23. 2 X 2 X 5 X 7 X 11

Answers

Answer: 1540

Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.

The answers is 1,540

I am trying to understand how to solve for X, then solve the equation

Answers

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

Will put brainliest
What is the point of intersection for the lines y – x = 0 and 3x + 5y = 15?

Answers

Y will equal 3 because 5x3 is 15 and 0x3 is 0 so 15+0=15

Each of the four sets a1, a2, a3, and a4 contains four elements. the intersection of every i of these four sets (2 < i < 4) consisters of 5 - i elements. What is a1 U a2 U a3 U a4?

Answers

Answer:

the new year was patrick's year and the second time she had the target audience in her career as an 34696468 )/684₩¥€=÷×+)^^*,?^&££)ktuioon

اسحب الإجابة الصحيحة إلى مكانها المناسب.
سر سعيد 5 كيلوجراما من وزنه خلال 4 أسابيع ، فكم كيلوجراما خير في الأسبوع الواحد؟

Answers

Mstwa do you know the meaning of this
انا مش وطني بس رح احاول 5تقسيم 7 لان عدد اليام الاسبوع 7 الجواب 0.71

The average wind speed at a local weather station is 35.3 miles per hour. The highest speed ever recorded at the station is 318.0 miles per hour. How much faster is the highest recorded wind speed than the average wind​ speed?

Answers

Answer:

282.7

Step-by-step explanation:

To find the answer, we use subtraction.

So, 318.0 - 35.3= 282.7

Hope this helps you!!

Toy stored 945 points playing 3 games of pinball. He scored
312 points in the first game and 356 points in the second game.
towary points did Troy score in the third game?
Show your work
Will
ten
estir

Answers

Answer:

178

Step-by-step explanation:

What percent is equivalent to 2/3

66 1/3

66 3/5

66 2/3

66 7/10

Answers

Answer:

66 2/3

Step-by-step explanation:

(2/3)(100) = 66 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Question reads....}[/tex]

[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]

[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]

[tex]\mathbf{\dfrac{2}{3}}[/tex]

[tex]\mathbf{= 2\div3}[/tex]

[tex]\mathbf{= 0.66666667}[/tex]

[tex]\mathbf{= 0.66666667 \times 100}[/tex]

[tex]\mathbf{= 66.6666667\%}[/tex]

[tex]\mathbf{\approx 66.67\%}[/tex]

[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]

[tex]\huge\textsf{Option A.}[/tex]

[tex]\mathbf{66 \dfrac{1}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]

[tex]\mathbf{= \dfrac{199}{3}}[/tex]

[tex]\mathbf{= 199\div3}[/tex]

[tex]\mathbf{= 66.3333333}[/tex]

[tex]\mathbf{= 66.3333333 \times100}[/tex]

[tex]\mathbf{= 6,633.33333\%}[/tex]

[tex]\mathbf{\approx 6,633.33\%}[/tex]

[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]

[tex]\huge\textsf{Option B.}[/tex]

[tex]\mathbf{66 \dfrac{3}{5}}[/tex]

[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]

[tex]\mathbf{= \dfrac{333}{5}}[/tex]

[tex]\mathbf{= 333\div5}[/tex]

[tex]\mathbf{= 66.6}[/tex]

[tex]\mathbf{= 66.6 \times 100}[/tex]

[tex]\mathbf{= 6,660}[/tex]

[tex]\mathbf{\approx 6,660\%}[/tex]

[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]

[tex]\huge\textsf{Option C.}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]

[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]

[tex]\mathbf{= \dfrac{200}{3}}[/tex]

[tex]\mathbf{= 200\div3}[/tex]

[tex]\mathbf{= 66.6666667}[/tex]

[tex]\mathbf{= 66.6666667\times100}[/tex]

[tex]\mathbf{= 6,666.66667}[/tex]

[tex]\mathbf{\approx 6,666.67\%}[/tex]

[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]

[tex]\huge\textsf{Option D.}[/tex]

[tex]\mathbf{66\dfrac{7}{10}}[/tex]

[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]

[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]

[tex]\mathbf{= \dfrac{667}{10}}[/tex]

[tex]\mathbf{= 667\div10}[/tex]

[tex]\mathbf{= 6.67}[/tex]

[tex]\mathbf{= 6.67\times100}[/tex]

[tex]\mathbf{= 6,670}[/tex]

[tex]\mathbf{\approx 6,670\%}[/tex]

[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]

[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]

[tex]\huge\textbf{The closest answer was:}[/tex]

[tex]\mathbf{66 \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Above is the layout of a running track and inside the track is a field. If it costs $5.00 /m2 for soil for the field,
describe how you would determine the total cost to cover the field with soil. help!

Answers

Answer:

We can think in the area as:

A rectangle of 100m by 64m

And two half circles (o a whole circle if we combine them) of diameter = 64m

Then we need to calculate the area of these two figures and then sum them.

The area of a rectangle of width W and length L is:

A = A*L

then the area of the rectangle will be:

A1 = 100m*64m = 6400m^2

The area of a circle of diameter d is:

A = pi*(d/2)^2

in this case, d = 64m

pi = 3.14

Then:

A2 =  3.14*(64m/2)^2 = 3215.35m^2

The total area of the field is:

A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2

Now, we know that the cost per square meter is $5.00

Then the total cost will be:

Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36

#1 Jo estimates that a piece of ribbon measures 8.5 inches. If it actually measures 7.8 inches, what is the percent error of Jo’s estimate? *

Answers

Answer:

8.97 %

Step-by-step explanation:

error is 8.5 - 7.8 inches = 0.7 inches

now

x % of 7.8  = 0.7

7.8x/100 = 0.7

x = 70/7.8 %

= 8.97 %

Answer:

Jo's estimate was 109% the actual answer

Step-by-step explanation:

109% of 7.8 is 8.502, round up to 8.5

May I have brainliest please? :)

What is the unit rate for 3 gallons of paint for $16.50?

Answers

Answer:

$5.50 per gallon of paint

Step-by-step explanation:

To check answer: Divide: 16.50 ÷ 3

AA
vle.mathswatch.co.uk
+
Question Progress
Homework Progress
6/43
a)
Write down, in figures, the number forty one thousand and ninety six.

Answers

Answer:

41096

Step-by-step explanation:

Estimate the total number of hairs on your head. To calculate your estimate, you must make assumptions
1. Assume head spherical and 50% covered with hair.
2. Assume a radius of 5 inches.
3. Assume 150 hairs per
A)
100,000 hairs
B)
250,000 hairs
500,000 hairs
D)
1,000,000 hairs

Answers

Answer: A 100,000 hairs

Step-by-step explanation:

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle . Side LK corresponds to sides . Angle JLK corresponds to angles

Answers

Answer:

Triangle JKL is congruent to triangle

✔ ABC

.

Side LK corresponds to sides

✔ WV and CB

.

Angle JLK corresponds to angles

✔ UWV and ACB

.

Step-by-step explanation:

just did it on edge 2020

Triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC.

Angle JLK corresponds to angles BAC.

What is congruent?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

As per the given information,

ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.

ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.

Combining these two pieces of information, we can conclude that:

ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).

Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).

So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ7

The cost of 5 scarves is $63.75. What is the unit price?

Answers

Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

The unit price is 12.75 you take the number all the scarves cost (63.75) and divide it by the number of scarves (5) so 63.75/5= 12.75

see image help me as fast as possible, please

Answers

Answer: 11.4

Step-by-step explanation:

area of rect. = 24

area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57

2 = radius since 4 = diameter

24-12.57 = 11.43

round = 11.4

Answer:

11.4

Step-by-step explanation:

Area=area of rectangle-area of circle

=6*4 -pi(2^2)

=11.4

area of circle =pi (r^2)

r-radius of circle

Help me with this question i will give braibnly if right

Answers

There are 4 lines between each number so each line would be 1/4

A is at -1 1/2

B is -3/4

C is 3/4

D is 1 3/4

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