Write the equation of the following circle in general form and standard form. Show your work.

Write The Equation Of The Following Circle In General Form And Standard Form. Show Your Work.

Answers

Answer 1

Answer:

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle.

From the graph given in the picture,

Center of the circle → (-1, 1)

Radius of the circle = 3 units

Therefore, standard equation of the circle will be,

(x + 1)² + (y - 1)² = 3²

(x + 1)² + (y - 1)² = 9

General equation of the circle is the expanded form of the standard equation.

x² + 2x + 1 + y² + 1 - 2y = 9

x² + y² + 2x - 2y + 2 = 9

x² + y² + 2x - 2y - 7 = 0

Therefore, general equation of the given circle is,

x² + y² + 2x - 2y - 7 = 0


Related Questions

17% off a $35 dresser

Answers

Answer:

Sale Price = $29.05 (answer). This means the cost of the item to you is $29.05. You will pay $29.05 for a item with original price of $35 when discounted 17%. In this example, if you buy an item at $35 with 17% discount, you will pay 35 - 5.95 = 29.05 dollars

Discount of $5.95. You would be paying $29.05

Michael and Themba are travelling from Cape town to Johannesburg by car.They travel 30km in 18 minutes and they continue at this constant speed.how far will they have travelled in 1 hour 48 minutes​

Answers

Answer:

180km

Step-by-step explanation:

1hour48mins =108mins

108÷18=6

6×30=180km

Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior to off-ramps. These signs typically do not provide information on distances. The article Evaluation of Adding Distance Information to Freeway-Specific Service (Logo) Signs (J. of Transp. Engr., 2011; 78-888) reported that in one investigation, six sites along Virginia interstate high ways where service signs are posted were selected. For each site, crash data was obtained for a three-year period before distance information was added to the service signs and for a one-year period afterward. The number of crashes per year before and after the sign changes were as follows:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
The cited article included the statement A paired t test was performed to determine whether there was any change in the mean number of crashes before and after the addition of distance information on the signs. Carry out such a test. [Note: The relevant normal probability plot shows a substantial linear pattern.] a seventh site were to be randomly selected among bearing service signs, between what values predict the difference in number of crashes to lie?

Answers

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

What percent of 315 of 126.

Answers

Answer:

396.9

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

126/315

126/315×100/100=40/100

40

Somebody please help me!!!

Answers

Answer:

(-1,6) is where the point would be.

Just a reflection across the y axis.

Answer:

(-6, 1)

Step-by-step explanation:

I rotate 270 degrees means to turn 90 degrees clockwise 3 times, If You rotate once it is in the +x, -y rotate again -x, -y, and the last time is -x +y. Please give brainliest if this is helpful. Sorry if this is confusing :)

The other person did a 180 degrees rotation instead of 270

PLEASE HELP!
In 2-3 sentences describe why the only way an infinite geometric series has a sum is if |r| < 1.

Answers

the term r^n will equal to zero because and number < 1 that is raise to the power infinity the answer is zero that is why in a infinite geometric series, sum = a / 1 - r.
hope this helps

Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)

Answers

Answer:

(0,1)

Step-by-step explanation:

I put it in desmos :)

Answer:

0,1

Step-by-step explanation:

Please help!!

Dont put any link or put any random answer or you will be reported

Answers

Answer:

5

Step-by-step explanation:

3,4,4,5,5,5,5,7,7

If you cross equally on both sides them the median is 5

Hi please help me I'm in the middle of a test and I don't want to get grounded

Answers

Answer:

8(3j-2)

Step-by-step explanation:

Answer:

A.

[tex]8(3j - 2)[/tex]

Can someone please help me find the area of the figure.

Answers

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

A chord that is 24 cm long is 4 cm closer to the center of a circle than a chord that is 20 cm long. What is the radius of the circle?

Answers

Answer:

(mkkwkskskwkwskskwkwi

NEED HELP FAST‼️‼️

What are the vertices of Triangle A'B'C' after Triangle ABC is reflected across the y-axis?
A (-5,3), B(-1,-3) and C(2,0)

Answers

Answer:

Step-by-step explanation:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

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

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Find the median for the numbers Below
20 22 24 26

Answers

The median is going to be 23.

The median to this answer would be 23

A rectangle has a perimeter of 66 inches. The length is 5 inches longer than the width. What is the length of the rectangle?
A.19 in
B.14 in
C.30.5 in
D.28 in

Answers

Answer:

I think that it is A. 19

Step-by-step explanation:

I think it is A. because 19x2=38. 19-5=14, 14x2=28. 28+38=66.

P=66

L=19

W=14

Sorry if I'm wrong.

a lorry is travelling at 13.5m/s along a stretch of road​

Answers

Answer:

Proved

Step-by-step explanation:

This question is incomplete. The complete details are:

[tex]v = 13.5m/s[/tex] --- speed of the lorry

[tex]v_2 =50km/h[/tex] --- speed limit on the road

Required

Prove that the lorry is within the speed limit

To do this, we simply convert the speed of the lorry to km/h.

So, we have:

[tex]v = 13.5m/s[/tex]

[tex]1m = 0.001km[/tex]

and

[tex]1s = \frac{1}{3600}h[/tex]

So, the expression becomes:

[tex]v = \frac{13.5 * 0.001km}{1/3600h}[/tex]

[tex]v = \frac{0.0135km}{1/3600h}[/tex]

Rewrite as:

[tex]v = 0.0135km/h * 3600[/tex]

[tex]v = 48.6km/h[/tex]

48.6km/h is less than 50km/h (the speed limit).

Hence, the lorry is within the speed limit.

Please help very urgent

Answers

Answer:

330 degrees

Step-by-step explanation:

look at 4th quadrant of unit circle

(cos,sin)

(sqrt3/2,-1/2)=330

Question Help
Fund A sells for $15 a share and has a 3-year average annual return of $0.25 a share. The beta value is 1.07.
Fund B sells for $17 a share and has a 3-year average annual return of $0.91 a share. The beta value is 0.77.
Jonquin wants to spend no more than $3600 investing in these two funds, but he wants to obtain at least $80
in annual revenue. Jonquin also wants to minimize the risk. Determine the number of shares of each fund that
Jonquin should buy.
Set up the linear programming problem. Let a represent the number of shares in Fund A, b represent the
number of shares in Fund B, and z represent the total beta value.
Minimize
z=0
subject to
15a + 17b
0.25a +0.91b
a 20, b20.
(Use integers or decimals for any numbers in the expressions. Do not include the $ symbol in your answers.)

Answers

Answer:

sana all may jowa jowain na kita

When you solve x^2 - 8x + 7 = 0 what is the last step of the equation
before you simplify to get the two answers? *
O x = -4 13
O x = 3 + 4
O x = 4 + 3

Answers

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is [tex]x^2 - 8x + 7 = 0[/tex].

We need to solve the equation.

It is a quadratic equation whose solution is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, a = 1, b = -8 and c = 7

Put values,

[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]

So, the values of x are x = 1 and x = 7.

Help due 30 mins....

Answers

X equals to 55+x=180, x=125

According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?

Answers

Answer:

Yes.  The city has a lower proportion of accidents by 16-year-old male drivers than the national proportion (16.7% compared to 21%).

Step-by-step explanation:

a) Data and Calculations:

Number of 16-year-old males involved in driver accident during year 2000 = 210

Sample number of drivers = 1,000

National rate of accidents for 16-year-old males for every 1,000 drivers = 21% (210/1,000 * 100)

Random sample of 16-year-old male drivers in a Midwest city = 150

Number of them involved in driver-accidents = 25

Proportion of 16-year-old males involved in driver-accidents = 25/150 * 100 = 16.7%

The city's 16.7% proportion is lower than the national proportion of 21%.

Ms. McClain conducted an experiment

with a 6-sided number cube. The table

shows the number of times each number

landed:

(I'll give brainlist)

Answers

Answer:  1

Step-by-step explanation:

Experimental probability is the actual result you get from an experement.

Theoretical probability is the change that you will get that result.

(for example: flipping a coin, the Theoretical probability is 50/50 but after testing the Experimental probability might be 47/53)

therefore,

1/6 is the Theoretical probability because you are using a six-sided number cube.

for the Theoretical probability and the Experimental probability to be the same, the fraction of the roll must equal 1/6.

1/6 equals 8/48.

therefore, since the numbers 1 and 6 were both rolled 8 times out of 48 they are consistant with the Theoretical probability of 1/6.

6 is not one of the answer choices listed so 1 must be your answer.

 

The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!

*** I will make you brainiest if the answer is correct ***

Answers

so, im not sure if this is correct, but you just have to multiply 64 by 1.50, since it says that each *box* is 4 feet, so I think your answer would be 73.6. sorry if you get this wrong

determine which of the following pairs of fractions are equivalent.
1)4/5 and 16/20
no links or photo​

Answers

You only wrote one option, but luckily, those two fractions ARE equivalent!

We know that because if you multiply the denominator AND numerator by 4, you get 16/20.

Answer:

explanation

Step-by-step explanation:

just multiply the numerator and the detonator by 4 and u get 16/20

please help!!! PLEASE

Answers

Answer:

a) height = 1.88 m

b) slide length = 2.92 m

Step-by-step explanation:

a) sin 70° = x/2

0.9397 = x/2

x = 1.88 m

b) sin 40° = 1.88/slide

0.6428 = 1.88/slide

slide = 2.92 m

please help!! will give brainliest ASAP

Answers

Answer:

c = 36.06

Step-by-step explanation:

a² + b² = c²

20² + 30² = c²

400 + 900 = c²

c² = 1300

[tex]\sqrt{c^2} =\sqrt{1300}[/tex]

c = 36.06

.15 x (4.3 - 2.417 )

Answers

Answer: .15 x 1.883 = 0.28245

Answer:

28.24500

Step-by-step explanation:

PLSSS HELP AND GIVE THE RIGHT ANSWER!!!!!!!!!!!!!!!!!!!
The fourth graders are having lunch in the schoolyard. Two classes of 30 students each, 2 teachers and 2 parents will be there. If 8 people sit at each table, how many tables will be needed for all the people having lunch in the schoolyard?
a) 8
b) 60
c) 64
d) 9

Answers

Answer:

8 tables

Step-by-step explanation:

2 class * 30 students + 2 teachers + 2 parents

= 64 people

64 people * 1 table/8 people = 8 tables

Mark brainliest if this helped

Mark brainliest if this helped

Step-by-step explanation:

8 tables because 30+30 =60

and 2+2=4 which is 64 and 8×8=64


Question 3
The time needed for surgeons to complete a specific knee surgery is normally distributed with a mean of 80 minutes and a standard deviation of 10 minutes.
What is the probability that a surgery will last for more than 98 minutes?

0.0010
0.0359
0.9664
0.9641

Answers

Answer:

I would say d.im pretty sure tho

Which choice is equivalent to the fraction below?
5/16

O A. 5.16
O B. 5 divided 16
O C. 5-16
O D. 16 divided 5

Answers

Answer:

I think A

Step-by-step explanation:

   But im not sure

Brennan ate 2 1/4 apples.Then he ate another 1 2/4 apples the next day.How many apples did Brennan eat altogether?Write in simplest.​

Answers

Answer:

UwU your welcome!

Step-by-step explanation:

Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.

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