Write the equation of the circle centered at (3, 5) and tangent to x = -1. I need help pleasse

Answers

Answer 1

Answer:

(x - 3)² + (y - 5)² = 16

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

given (h, k ) = (3, 5 ) we require to find r

r is the distance from the centre to a point on the circle

given x = - 1 is a tangent the r is the distance between the x- coordinates

r = | 3 - (- 1) | = | 3 + 1 | = | 4 | = 4

then equation of circle is

(x - 3)² + (y - 5)² = 4² , that is

(x - 3)² + (y - 5)² = 16


Related Questions

So I have this question here, can someone please help me?

Answers

Answer:

Use tan trig ratio:

[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]

where [tex]\theta[/tex] is the angle, O is the side opposite the angle, and A is the side adjacent the angle

Given:

[tex]\theta[/tex] = 39°O = 10[tex]x[/tex] = A

Substituting these values into the formula:

[tex]\implies \tan(39)=\dfrac{10}{x}[/tex]

Multiplying both sides by [tex]x[/tex]:

[tex]\implies x\tan(39)=10[/tex]

Dividing both sides by [tex]\tan(39)[/tex] :

[tex]\implies x=\dfrac{10}{\tan(39)}[/tex]

[tex]\implies x=12.34897157...[/tex]

[tex]\implies x=12.3 \ \textsf{(nearest tenth)}[/tex]

[tex]\\ \rm\rightarrowtail tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\rightarrowtail tan51=\dfrac{x}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=10tan51[/tex]

[tex]\\ \rm\rightarrowtail x=10(1.2348971565350)[/tex]

[tex]\\ \rm\rightarrowtail x=12.348971565350[/tex]

Help PLSS
(will give brainliest!)

Answers

Answer:

D (last one)

Step-by-step explanation:

You figure out the ordered pair for E which is (3,-4)

Then you apply the rule given in the instructions.

so you do 3+8= 11 so x = 11

then -4+5= 1 so y = 1

So you get (11,1)

An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

Answers

Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?

Answers

Answer:

100%

Step-by-step explanation:

There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.

Problem What is the volume of a cylinder with base radius 4 and height 7?

Answers

Answer:

351.86

Step-by-step explanation:

V = π r² h

V = (3.14) (4)² (7)

V = (3.14) (16) (7)

V = 351.86

solve this system of equation using substitution, show your work (ANSWER QUICK PLEASE)

Answers

1: 5x and 18y or (5,18)
2: -2x+2y=-4
-2(0)+2y=-4
2y=-4
y=-2

2B)
-2x+2(0)=-4
-2x=-4
x=2

Answer:

One above me is correct 100% :)

Step-by-step explanation:

What is the area of this polygon?



Enter your answer in the box.

Answers

Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2


Area of polygon=56
5 trust me source : tkt c vrai

Simplify
1/3 + 4/x-2 = 6

Answers

Answer:

1/3+4/x-2=6

Step-by-step explanation:

your is answer 6

The prism below is made of cubes which measure of 1/2 a foot on one side. What is the volume?

Answers

Use the prism formula and plug in 1/2 into the measurements! You got this!

Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2

Answers

Answer:

7/11

Step-by-step explanation:

This is the only fraction without a 1 in its numerator.

Answer:7/11

Step-by-step explanation: unit fractions have 1 unit like 1/2 1/3 1/100 but 7/11 is not have 1 numerator

F(x)=2x^3-3x^2+7

F(-1)=_____
F(1)=_____
F(2)=_____

Answers

Answer:

f(-1)=2(-1)³-3(-1)²+7 = 2

f(1)=2(1)³-3(1)²+7 = 6

f(2)=2(2)³-3(2)²+7 = 11

What can you discern about the nature of work on miguel street based on your close reading of the first chapter

Answers

The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.

What are context clues?

Context clues are the hints that are given in a literary work. They're important for readers to understand a story.

In this case, the context clues show that the nature of work on miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.

Learn more about context clues on:

https://brainly.com/question/26349330

The context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry.

What context clues?

Context clues are the hints that are given in a literary work. They're important for readers to understand a story.

In this case, the context clues show that the nature of work on Miguel street based on your close reading of the first chapter is carpentry. This was illustrated by Popo who was a carpenter.

Learn more about context clues on:

brainly.com/question/26349330

#SPJ4

The graph of the function f(x) = x2 is shifted 2 units up and 1 unit to the right. Which of the following corresponds to the shifted graph?

Answers

Answer:

g(x) = (x - 1)^2 + 2.

Step-by-step explanation:

1 unit to the right x---> (x - 1)

2 units up ------  f(x) moves up --->  + 2

answer is (x - 1)^2 + 2

solve equation find x 6x+6=10x-2

Answers

Answer:

[tex] \sf \: x = 2[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

[tex] \sf 6x+6=10x−2 [/tex]

Step 1: Subtract 10x from both sides.

[tex] \sf6x+6−10x=10x−2−10x[/tex]

[tex] \sf−4x+6=−2[/tex]

Step 2: Subtract 6 from both sides.

[tex] \sf−4x+6−6=−2−6[/tex]

[tex] \sf−4x=−8[/tex]

Step 3: Divide both sides by -4.

[tex] \sf \frac{−4x}{−4}=\frac{−8}{−4}[/tex]

[tex] \sf x=2[/tex]

Consider the equation:
x2 + y2 - 2x + 8y + 13 = 0
+
What is the center and radius of the circle?

Answers

Answer:

Center: (1,−4)

Radius: 2

Step-by-step explanation:

How do I do it and be able to understand it

Answers

do what ? post for i can help you

The population of Atlanta Georgia in the year 2000 was 417,000 people. If the population increases at a rate of 1.2% each year, find the approximate population of Atlanta in
2020.

Answers

Step-by-step explanation:

geometric sequence :

a0 = 417,000

a1 = a0 × 1.012 (that is adding 1.2% for 2001)

a2 = a1 × 1.012 = a0 × 1.012²

an = a0 × 1.012^n

a20 (for the year 2020 after starting in 2000) =

= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...

if we need to round that to a full number, we get

≈ 529,534

our round it to full thousands

≈ 530,000

i don't know what result format you need. please pick the required one.

Cooper is throwing a dinner party. He says about 67 people are coming to the party. He is paying a company to make the food, and they said each person would cost about $15. To add drinks, each person would cost $3. How much money will Cooper be spending for food and drinks at his party if you round the number of people to the nearest tenth digit? What is a way you can solve this estimation problem? Select all that apply.
Round the $15 to $20, the $3 to $5 and the 67 to 70 before you do anything else.
Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.
Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.
Add the amount for food and drinks then multiply by how many people there are.

Answers

Answer:

Round the 67 to 70, add the $15 and the $3 and then multiply the 2 answers.

Round 67 to 70. Multiply 70 by 15 and 70 by 3 and then add the answers.

Step-by-step explanation:

you get the same answer both ways.

Which value is equivalent to the expression 3^2 × 3^3?

Answers

Answer:

243

Step-by-step explanation:

3^2 x 3^3 is the same as 3x3 x 3x3x3 which is 9x27 which is 243

Scale factor word problem
Someone please help me!

Answers

1. Niles is making a map of his neighborhood. He uses a scale in which 1 cm = 5 km. The distance between his house and the school is 8.5 km.

How many centimeters will there be between his house and school on the map?

1 cm = 5km

8.5 ÷ 5 = 1.7

There will be 1.7 centimeters between his house and school.

If ∠QSR≅∠QST and QT=65, what is QR?

Answers

Answer:

it would also be 65 degrees because the angles match up and because the statement says that both angles are congruent.

Answer:

QR would equal 65

Step-by-step explanation:

It is 65 because if you look at QSR = QST, this tells you that QT and QR are equal to eachother. :)

Hope this helps!!

Have a wonderful day!!

Please rate and mark brainliest!!

Which statements are correct about the two-way frequency table? check all that apply.

Answers

The table displays the quantitative data, two teachers do not wear glasses, and a total of 6 teachers were polled. Then the correct option is A, C, and E.

What is decision-making?

The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.

The table is shown below.

                        Wear glasses      Don't wear glasses      Total

Student                  32                              97                       129

Teacher                   4                                2                          6

Total                       36                              99                       135

The table displays the quantitative data.

Two teachers do not wear glasses.

A total of 6 teachers were polled.

More about the decision-making link is given below.

https://brainly.com/question/3369578

Answer: The Answer is B and E

Step-by-step explanation:

7.7 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 115 cm3.
The height of the water bottle is 7.7 cm. What is
the radius of the water bottle? Use 3.14 for r.

Answers

Step-by-step explanation:

I guess the 3.14 is to be used for pi (and not r, which is what we need to find out).

the volume of a cylinder is ground area × height.

the ground area is the area of a circle, which is pi×r².

so, we have

pi×r²×height = 115 cm³

3.14×r²×7.7 = 115 cm³

3.14×r² = 14.93506494...

r² = 4.756390107...

r = 2.18091497... cm

A grocery store recently sold 20 cartons of yogurt, of which 5 were cherry. Based on past data, how many of the next 16 cartons of yogurt sold should you expect to be cherry?

Answers

Answer: 4

Step-by-step explanation:

A bag contains 60 marbles that are red, blue, and green. The ratio of red to blue marbles is 13:3, and the ratio of blue to green marbles is 3:4, If 3 marbles are removed and replaced with 3 green marbles, what will be the new ratio of red to green marbles?
I'm Confused can someone help?

Answers

Answer: 6:4

Step-by-step explanation: The total of marbles doesn't change just the green total total.

Answer:

3 marbles of what are removed (green red or blue)

Step-by-step explanation:

60 marbles=red+blue+green

red:blue

(13 : 3)

blue:green

( 3 : 4)

red:blue:green

13 : 3 : 4

13/20×60=39 red marbles

3/20 × 60=9 blue marbles

4/20× 60= 12 green marbles

60-3

=57

x-3

heres another one of those impossible looking problems for another chance for a brainly no links please

Answers

Answer:

B. X=6 only

Step-by-step explanation:

Isolate the term of x from one side of the equation.

[tex]\sf{\sqrt{2x-3}=x-3}[/tex]

2x-3=x²-6x+9

Solve.

[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]

Therefore, the solution is x=6, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

X = 6 only

Hope this was helpful :)

Plisss help with this oneeee

Answers

Answer:

y = 1/2 x - 5

Step-by-step explanation:

use the equation y=mx+b where m= the slope of the line and b=the slope-intercept (the point where the line crosses the y axis)

the slope is 1/2 and the slope-intercept is -5

Answer:

y=1/2x-5

Step-by-step explanation:

grad=change in y/change in x

=(-4--5)

----------

(2-0)

=1/2

G=0.5

0.5=y--5

------

x-0

0.5 (x-0)=y+5

0.5x=y+5

-y= -0.5x+5

y=1/2x-5

A triangle has two side lengths: 18 in and 12 in. Which of the following could be the length of the third side?

Answers

Answer:

6<L<30

Step-by-step explanation:

because we know that the third side needs to be in between the sum of the other two it has to be less than 30 and then because it needs to apply to the other sides it is greater then 18-12 or 6.

1. Find the length of the arc shown in red:

2. Find the area of the circle:

Answers

Answer:

Step-by-step explanation:

Distance time and speed

Answers

It traveled 80 meters during the entire trip.
It took 8 seconds
Speed = distance / time
80 / 8 = 10

22) 80 meters
23) 8 seconds
24) 10 m/s
Other Questions
Which Statement best completes the timelineA: The princes crusade begins in ConstantinopleB: Seljuk armies capture the Christian kingdom of EdessaC: King Conrad ||| of Germany calls for aid against Muslim invadersD: The Crusader States are established in the Holy LandPlease no links! Only answers. Tiffani works in a baby shop in which she prints personalized bibs. She uses a probability model to predict that the next customer ordering a white bib would be 30%. For one day, Tiffani gathers data by tallying the the number of customers who order each color in this table.ColorTallywhite21grey9blue15pink26Based on her experiment, which statement is true?Tiffani's prediction is valid. The probability of the next customer ordering a white bib is about 30%.There is not enough information to determine the validity of her prediction.Tiffani's prediction is not valid. The next customer ordering a white bib would be the same as any color, so the probability should be about 25%.Tiffani's prediction is not valid. The probability of the next customer ordering a white bib should be about 21% because 21 people ordered white in her data. On the basis of the information below, the dissolution of FeF2(s) in acidic solution is A. thermodynamically favorable, because K2 > 1 B. thermodynamically favorable, because K3 > 1 C. not thermodynamically favorable, because K1 A car is on a Ferris wheel with a radius of 20 ft. To the nearest foot, how far does the car travel over an angle of 3 radians? Triangle LMN is similar to triangle OPQ. Find the measure of side PQ. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale. how did people pursue independence after 1900? in one full paragraph Is the damage dams cause more important than the benefits they bring? Can a cell be an organism on its own What processes can be used to amplify the amount of dna present Which number should be on the bottom left stamp? (Hint: Its a one-digit number.) How and what to email teacher saying youre still sick and have a cough for a month now (keep it simple) Research the Endangered Species Act, and write a well-developed three paragraph report on its success. In your report, answer these questions. What are the two basic classifications of listed species? What are the criteria that a species must meet in order to be listed? How many species are currently listed? How can a species be delisted? Use the mean value theorem to prove the inequality Multiple meanings the word matrix can be used to describe things shaped in a pattern of lines and spaces. How does this relate to a mitochondrion? define biomagnification 14. In the passage, the author makes which of thefollowing assumptions about his audience?(A) They are familiar with mainstream rhetoricabout globalization.(B) They are concerned about the loss ofcultural diversity(C) They support taking collective action toaddress local problems.(D) They benefit from the process of globalconvergence.(E) They oppose ceding local control to globalorganizations. What is the formula for finding the Volume of a cylinder? Listen to this radio advertisement for a camping site called Bahia Azul and complete the statements below. Use F = 1/T as your basis:8. If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in units of seconds?The answer is 0.400 s/beats but please show your work. Solve the equation and enter the value of x below.8x + 11 = 35