Write the standard equation of the circle with center (-12, – 7) that passes through the point (-3,7).

Answers

Answer 1

Answer:

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-12, – 7)

This means that [tex]x_0 = -12, y_0 = -7[/tex]. So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-12))^2 + (y - (-7))^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

Passes through the point (-3,7).

This means that we use [tex]x = -3, y = 7[/tex] to find the radius squared. So

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](-3 + 12)^2 + (7 + 7)^2 = r^2[/tex]

[tex]81 + 196 = r^2[/tex]

[tex]r^2 = 277[/tex]

The equation of the circle is:

[tex](x + 12)^2 + (y + 7)^2 = r^2[/tex]

[tex](x + 12)^2 + (y + 7)^2 = 277[/tex]


Related Questions

A town records the amount of snowfall each year in January. The median and mean January snowfall for the past 60 years is shown. Which could be the graph of this snowfall data?

Answers

Answer:

the top left

Step-by-step explanation:

i did the math

please help!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

if half of the trail mix is split in to 4, let's say the same for the other half. then there will be 8 bags.



What is the inverse of the given relation?

y = 3x + 12

Answers

Answer:

y=3x+12

y-12=3x

x=y/3 - 4

f(y)=y/3 - 4

or

f(x)=x/3 - 4

where f(x) is the inverse of y.

Hope this helps ;]

Step-by-step explanation:

y’ =2x - 3y + 1,y(1) = 5; y(1.2)

Answers

Applying Euler's method:

Let f(x, y) = 2x - 3y + 1, and consider the following recurrence relations:

[tex]\begin{cases}x_0=1\\x_n=x_{n-1}+h&\text{for }n\ge1\end{cases}[/tex]

[tex]\begin{cases}y_0=5\\y_n=y_{n-1}+f(x_n,y_n)h&\text{for }n\ge1\end{cases}[/tex]

For step size h = 0.1, we can approximate y (1.2) with just 2 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.1=3.8[/tex]

[tex]\begin{cases}x_1=1+0.1=1.1\\y_1=3.8\end{cases}\implies y_2=3.8+f(1.1,3.8)\times0.1=\boxed{2.98}[/tex]

For step size h = 0.05, we need 4 steps:

[tex]\begin{cases}x_0=1\\y_0=5\end{cases}\implies y_1=5+f(1,5)\times0.05=4.4[/tex]

[tex]\begin{cases}x_1=1+0.05=1.05\\y_1=4.4\end{cases}\implies y_2=4.4+f(1.05,4.4)\times0.05=3.895[/tex]

[tex]\begin{cases}x_2=1.05+0.05=1.1\\y_2=3.895\end{cases}\implies y_3=3.895+f(1.1,3.895)\times0.05=3.47075[/tex]

[tex]\begin{cases}x_3=1.1+0.05=1.15\\y_3=3.47075\end{cases}\implies y_4=3.47075+f(1.15,3.47075)\times0.05\approx\boxed{3.1151375}[/tex]

(Compare these to the value of y (1.2) found using the exact solution to the differential equation, about 3.22832.)

Explain how I got 100(x + 7 y from 100x + 700y

Answers

I’m not even sure bud

Solve the following equation algebraically:
3x2 = 48
a. +6.93
Б. +8
с. +4
d. +0.25
Please select the best answer from the choices provided
А
В
С
D

Answers

it’s c hope this helps lol!!
The answer is B. Because it 8. Because of the 48 division by 6 from the 3 times 2. So it’s 8

Find the volume of the cube whose side length is 6cm

Answers

Answer:

volume for cube = length cubed I.e. 6x6×6 = 216

What’s (3b+4)+(-2b-6)=?

Answers

Answer:

[tex]b-2[/tex]

Step-by-step explanation:

[tex](3b+4) + (-2b-6)[/tex]

We will need to add like terms. 3b and -2b are like terms and 4 and -6 are like terms.

Let's add 3b and -2b.

[tex]b+4-6[/tex]

We can now add the like terms 4 and -6.

[tex]b-2[/tex]

LMNP is rotated 90 degrees around the origin. What are the coordinates of L'?

Answers

Answer:

D) L’ (1,0)

Step-by-step explanation:

D) L’ (1,0)

Answer:

d

Step-by-step explanation:

A - P - 3 - X

35. Para pintar una casa se mezclaron 5/4 L do pintura blanca y 1/2 L de pintura azul. Al final solo se emplearon 213 L de la mezda,
¿cuántos litros de pintura sobraron?​

Answers

Answer:

Total paint left over = [tex]\frac{13}{12}L[/tex]

Step-by-step explanation:

Given - To paint a house, 5/4 L of white paint and 1/2 L of blue paint

             were mixed. In the end only 2/3 L of the mixture were used.

To find - How many liters of paint were left over ?

Proof -

Given that,

5/4 L of white paint and 1/2 L of blue paint were mixed.

So, total mixture = [tex](\frac{5}{4} + \frac{1}{2})L[/tex]

                          = [tex]\frac{5 + 2}{4}L[/tex]

                          = [tex]\frac{7}{4}L[/tex]

⇒Total mixture =  [tex]\frac{7}{4}L[/tex]

Now,

Given that ,

In the end only 2/3 L of the mixture were used.

So, total mixture left = [tex](\frac{7}{4} - \frac{2}{3})L[/tex]

                                = [tex]\frac{21 - 8}{12}L[/tex]

                                = [tex]\frac{13}{12}L[/tex]

∴ we get

Total paint left over = [tex]\frac{13}{12}L[/tex]

Explain the different ways you can name an angle. What
are the different names for this angle?

Answers

Answer:

You have an right angle which is like an L and is 90 degrees. A acute angle and it just like if you was to close a L just a little bit you would get an acute angle which is 30 degrees. Last you have the the obtuse angle it´s like is you pulled the top of L and pulled it back a little bit you would get that. I mean those are the basic angles.

Step-by-step explanation:

A bakery sold a total of 400 cupcakes in a day, and 63% of them were mocha flavored.
How many of the cupcakes sold that day were mocha flavored?

Answers

Answer:

252 cupcakes were mocha flavored

Step-by-step explanation:

(63*400)/100 = 25200/100 = 252

Answer:

252 cupcakes were mocha flavored.

Step-by-step explanation:

PLEASE HELP!!!! The problem is in the photo below

Answers

Answer:

105m by 105m

Step-by-step explanation:

multiply 7 x 15 to get 105.

Hope it helps!!! :)))

Solve for x, y, and z

Answers

Answer:

Step-by-step explanation:

x = 3, y = -3, & z = 0.

x = 70°
y = 80°
z = 30°

LAST ONE PLEASE :) thank you thank you

Answers

Answer:

163 I would think

Step-by-step explanation:

Which expression is equivalent to tan(x – pi)?

Answers

Answer:

it's b

Step-by-step explanation:

correct on edge!

The equivalent expression is tanx.

We have given that,

tan(x – pi)

We have to determine the expression equivalent to the given expression

What is the tan ratio?

tan(x)=sinx/cosx

[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]

[tex]=\tan \left(x\right)[/tex]

Therefore the equivalent expression is tanx.

To learn more about the equivalent expression visit:

https://brainly.com/question/24734894

#SPJ2

Randy has 386 hockey cards. he has 165 more baseball cards does he have in all​

Answers

Answer:

just add 386+165 which equals 551

Step-by-step explanation:

Alice and Bob are taking turns to shoot at a target. Assume that they are each equally like to take the first shot. Alice has a hit rate 3/4 and Bob has a hit rate of 4/5. Then, what is the expected value of the number of hits (Alice and Bob combined) after a total of 5 shots

Answers

Answer:

7

Step-by-step explanation:

15/20 times 5 is 75/20, simplified that is 3 15/20

16/20 times 5 is 80/20, simplified that is 4

PLEASE HURRY I WILL GIVE BRAINLEST Choose the equation that correctly shows the Commutative Property of Multiplication.

Answers

Answer:

You have it correct, it is the 3rd one.

Step-by-step explanation:

The commutative property is the equation, flip-flopped. So, if you had 1+8 = 8+1, that would be right.

Answer:

3rd one.....

Step-by-step explanation:

Help plz I don’t understand

Answers

Answer:

well the highest number you could get in a dice is 6 and the lowest is a 1

6=100%

5=85%

4=65%

3=45%

2=25%

1=5%

so the % chance of you getting a 4 or 5 is around 70%

Answer : What they said was amazing follow it

Step by step :

Please help need answer today!!
Maribella buys 5 pounds of white potatoes and as many pounds of sweet potatoes. How many pounds of sweet potatoes does she buy? Use
paper to model the problem with a tape diagram. In the boxes below, express your answer as a both a fraction greater than one and a mixed
number.
Mixed Number: Maribella buys
pounds of sweet potatoes.
Fraction Greater than One: Maribella buys
pounds of sweet potatoes.

Answers

Answer:

She buys 5 pounds of sweet potatoes.

Step-by-step explanation:

How many 45 angles would it take to turn in a complete circle???

Answers

Answer:

8

Step-by-step explanation:

A complete circle is 360 degrees so we divide 360/45 and that is equal to 8

Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)​

Answers

Answer:

[tex]P(3) = 0.3397[/tex]

Step-by-step explanation:

The given details represent binomial distribution. So, we have:

[tex]n = 5[/tex]

[tex]p = 64\% = 0.64[/tex]

Required

Calculate P(3)

This is calculated using:

[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]

This gives:

[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]

[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]

[tex]P(3) = 0.3397[/tex]

Identify the scenarios in which the statistics are misleading.
A supermarket claims that 65% of its shoppers would like to see home delivery offered. They arrived at the conclusion by polling 50 randomly selected customers on a Tuesday afternoon.
A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.
A website claims that 47% of its visitors click on at least one advertisement while browsing the site. The information was collected from a database containing all the activity on the website during the past month.
A music store owner claims that about 15% of high school students in his city can play the piano. He concludes this after surveying 80 randomly selected students from the various high schools in his city.
A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

Answers

Answer:

-A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

-A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Please give me brainliest, I really need it.

The scenarios in which the statistics are misleading; option 1 and 3.

What is sample and statistic?

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Learn more about z-statistic here:

https://brainly.com/question/1640298

#SPJ2

Garth has a collection of postcards from
around the world, and he has organized
them in albums. Each album holds
480 postcards. His collection already
fills two albums and one-fourth of
another album. How many postcards
does Garth have?

Answers

Answer:

1080

Step-by-step explanation:

480 + 480 + 1/4(480) = 1080

Answer:

1080 postcards

Step-by-step explanation:

WIth 2 full albums you take 480 and multiply it by 2 to get 960 and 1/4 of 480 is 120 because we divide 480 by 4 to get that and if we add 120 to 960 we get 1080.

What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?

Answers

Answer:

A. (y - 2) = 3/2 ( x + 1)

Explanation:

The point-slope formula is ( y - y1) = m ( x - x1). Just distribute the given where m is 3/2, x1 = - 1 and y1 = 2.

What should be done to solve the equation X -17 equals 11 at 17 to both sides at 17 to the left side and subtract 11 from the right side at 17 to the left side and subtract 1717 the

Answers

Answer:

the answer is A

Step-by-step explanation:

add 17 to both sides

David spent $13 of the $20 that is in his wallet. What percentage is equivalent to the amount David spent?

Answers

Answer:

Step-by-step explanation:

= 13/20*100

= 60

David spent 60% of his money which was in his wallet.

The equation 8h = 200 can be used to find how many hours h a person needs to work to earn $200 at $8 per hour. How many hours does a person need to work to earn $200?

Answers

They would need to work 25 hours. You just divide 200 by 8.

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Answer both! Thanks!

Answers

9514 1404 393

Answer:

x = √88.25 ≈ 9.4x = 15

Step-by-step explanation:

1. x is the hypotenuse of a right triangle with legs 4.4 and 8.3. The Pythagorean theorem can be used.

  x² = 4.4² +8.3² = 19.36 +68.89 = 88.25

  x = √88.25 ≈ 9.394

  x = 9.4 . . . . rounded to tenths

__

2. The product of segment lengths to the near and far circle intercept is the same for both secants.

  7(7+11) = 6(6+x)

  7(18)/6 = 6 +x . . . . . divide by 6

  21 -6 = x = 15 . . . . . subtract 6

Other Questions
Which purpose for a source is likely to be the most consistently valid? Select one:To argueTo sellTo persuadeTo inform If x=7 and y=-3 xy/3 + 2 Simplify 3^2 3^5^ = are exponentsA 3^7 b3^10 c9^7 d9^10 The MTC Theater holds 250 people, and last nights performance sold out! Students paid $3.00 per ticket, while adults paid $5.00 per ticket. Last nights show brought in $1050.Write a system of equations for the problem. For Rosa Parksby J. RobbinsThey said, "Stand," but Rosa sat;She knew it wasn't rightto treat her as if she was wrongbecause she wasn't white.She knew that freedom is a fightthat only brave souls win;She also knew our value liesin what's beneath our skin.Rosa fought for what is right;Her courage paved the wayfor kids like you and me to ridethe freedom train today.Select all the correct answers. From the way the speaker describes the events in the poem, the reader can tell that the speaker1. admires Rosa Parks.2. is afraid of getting into a major fight. 3. believes that people deserve fairness.4. likes to ride on trains.5. thinks that appearances are important. read this passage from the U.S Constitution:we the people of the united states in order to form a more perfect union establish justice insure domestic tranquility provide for the common defence promote the general welfare and secure the blessings of liberty to ourselves and our posterity do ordain and establish this constitution for the united states of america which statement reflects a main idea expressed in the passage a) the federal government must work for the good of the peopleB) the federal government must be fully independent from great britain c) the federal government should not have the power to tax d) the federal government is superior to state governments Can you help? please.... 4. "Metals are conductor of electricity"prove Find the surface area and volume of the prism The relationship between Hamlet and Claudius in Hamlet is most like the battle between Simba and Scar the friendship of Simba and Nala the hyenas and Simba the love between Mufasa and Simba how would i graph y= 5/2x-3andxy=4(_,_) 58. I will see you when IbackA) get B) will gotC) gotD) would get59. Jobs that call for strength and muscle no longer exist in the numbers that theyonceA) doB) wereD) existC) did7 how you deal with the change to counter any negative impact on your success as a student the length width and height of a box form an arithmetic sequence. if the surface area of the box is 365.04 square units and the box's smallest dimension is 3 units, what is the volumes of the box in cubic units? Match the descriptions with the graphs ! please help as soon as possible if y=10 when x=5 what does y equals when x=0.2 what types of environment condishions are in north east africa Please help!!!Explain why it's important to create a consistent schedule for your personal training plan.