The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).

Answers

Answer 1

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

Answer 2

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2


Related Questions

Greatest common factor of 36

Answers

Answer:

1,2,3,4,6,9,12,18, 36

Step-by-step explanation:

18 is the GCF of 36.

You can't multiply any other number with its 2 to be 36.

So 18 x 2 =36

What kind of sequence is this? 1, 8, 64, 512, ...
arithmetic, geometric, neither or both

Answers

Answer:

Geometric

Step-by-step explanation:

It has a consistent multiple-factor by which it increases (8).

What is the interquartile range (IQR) of the salaries?
25
35
70
100

Answers

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

helpp meeee will award brainliest

Answers

What’s the question?

In the game of​ roulette, a wheel consists of 38​ slots, numbered​ 0, 00,​ 1, 2,​ ..., 36. To play the​ game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are​ green, the odd numbers are​ red, and the even numbers are black. To simulate outcomes from spinning the​ wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to​ 38, where 37 represents 0 and 38 represents 00.

Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?

Answers

Answer:

hkkkkkkkkv

Step-by-step explanation:

khvvvvvvvvvvvvvvv

Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is

positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of

water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same

amount of water as the small tank. Which statement describes the flow rate?

The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.

O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.

The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.

The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Save and Exit

Answers

Answer:

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Step-by-step explanation:

Flow rate = [tex]\frac{gallons of water}{minute}[/tex]

flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]

                         = 60 gallons/minute

flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]

                          = 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

                          = 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.

Answer:

B

Step-by-step explanation:

took the quiz

Choose the fraction that goes in the blank 1/2< <4/5

Answers

Answer:

What are the answer choices?

Step-by-step explanation:

(2y -2) divided by x for x=2 and y=5

Answers

Answer:

= 4

Step-by-step explanation:

(2y-2)/x

Insert 2 and 5 in their respective places:

(2(5)-2)/2

Multiply from left to right:

(10-2)/2

Subtract from left to right:

8/2

Divide and simplify:

= 4

Just the picture, Geometry.

Answers

The correct options are :-

Option (b) x + y = 180 Option (c) y = z Option (d) x + z = 180

Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .

Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3

Answers

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-

Answers

A unless B is X < (with the line under) 23

Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2

Answers

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

10a^2b^0 for a=–3, b=–8

Answers

Answer:

90

Step-by-step explanation:

Substitute a = -3 and b = -8 to the expression 10a²b⁰:

10(-3)²(-8)⁰ = 10(9)(1) = 90

a⁰ = 1 for any real number

Answer:

90

Step-by-step explanation:

10a^2b^0

Let a=–3, b=–8

10 (-3)^2 ( -8)^0

10 * 9 *1

90

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet

Given: (10,900) (20,1600)

Answers

Answer: 2nd choice on Ed

Step-by-step explanation:

Answer:

B

2400ft

Step-by-step explanation:

Solve for x. -2x-4>8

Answers

Answer:

x<-6

Step-by-step explanation:

-2x-4>8

(move the constant to the right)

-2x > 8+ 4

(calculate)

-2x>12

(divide both sides)

x<-6

(your answer)

2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

Answers

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units

In other words it’s....?

Answers

Answer:

ummmmmwm whatttt

Step-by-step explanation:

vbbbbhh

isisbeheuevevehebebdudibdebbeudiduehehdidieuwgeudidueheehwiqoapaopwpwpwpiwuwjueieiw. Hope this helps!!

-cz+6z= tz+83
solve for z

Answers

Answer:

z =  83  /( -c+6-t)

Step-by-step explanation:

-cz+6z= tz+83

Subtract tz from each side

-cz+6z -tz= tz-tz+83

-cz+6z- tz=83

Factor out a z

z( -c+6-t) = 83

Divide by ( -c+6-t)

z( -c+6-t)/( -c+6-t) = 83  /( -c+6-t)

z =  83  /( -c+6-t)

Add parentheses to make 6-9-2+3x6 equal to 17

Answers

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

please help me!! i’ll love you forever

Answers

The third one from the top so 2nd to bottom

Answer:

Option A

Step-by-step explanation:

Rearrange and simplify them

First we simplify

5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75

Now we rearrange

-5.9 , -5.75 , 5.78 , 5.8

The larger the number in negative is the smallest.

So option A is the answer

Evaluate the expression when b= 2.
12 - b =

Answers

Answer: 10

12-b

Substitute 2 in for b

12-2

Subtract

10

Answer:

Well, if b = 2, then 12 - b = 10

Step-by-step explanation:

hope this helps, lol! <3

A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months

Answers

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of the car be in five years? *Give the exact value~nearest penny

Answers

Answer:

$5750

Step-by-step explanation:

To find what 15% is in money, we do

23,000*15/100=3450 for one year

3450*5(for five years)=$17,250

Now subtract that

23,000-17,250=$5750

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time

1 mile = 1609 meters.

Answers

Answer:

 37543.3333333 meters per hour

Step-by-step explanation:

CAN YOU HELP ME PLEASE

Answers

Answer:

just doing this for the gram

Step-by-step explanation:

say hi

Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.

Answers

Answer and explanation:

Please find answer and explanation attached

Please help...

Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]

Answers

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

On a sunny day, a streetlight that is 9 m
high casts a shadow that is 6 m long. At the
same time, a fence post casts a shadow that
is 2 m long. How tall is the fence post?

Answers

The fence post is 3m tall

Set up proportion 9/6 =2/x

You get

18=6x

Divide by 6

3=x

Boom

If this helped please mark branliest

The grocery store sells cantaloupes for $4.50 per pound. Write a function c to
represent the cost for the number of pounds of cantaloupes bought, p.

Answers

Answer:

the equation is c=4.50p

Step-by-step explanation:

The side lengths 4, 4, and 10 can form a triangle. True False

Answers

Answer:

false

Step-by-step explanation: ...

Other Questions
How does the spacing of the words and lines of Latin and soul help convey the meaning A: it illustrates that the speaker wants distance from music B: it emphasizes that the speaker experiences music as a powerful force C: it shows the music helps the speaker forgetD: it explains that music makes the speaker feel helpless All are characteristics of DNA, EXCEPTGroup of answer choicesbeing single-stranded.having deoxyribose sugar.being double-stranded.having four nitrogenous bases. "Calculate the pH of an aqueous solution at 25C that is (a) 0.15 M in HCl. 0.82 (b) 3.7 M in HNO3. -0.57 (c) 6.9 104 M in HClO4." 1.Why is wheel and axle a simple machine?2.What is meant by effort is multiplied? what to do if the patient stops breaching during Fainting ? Modern history is the history of the world beginning after the Middle Ages? *TrueFalse What is the speakers power output if the sound intensity level is 102 dBdB at a distance of 25 mm ? Express your answer to two significant figures and include the appropriate units. I WILL GIVE 10 pointsThe sentence below is incorrectly capitalized; choose the best way to correct it.My brother took out the garbage on tuesday, and mother was very happy.My brother took out the Garbage on Tuesday, and mother was very happy.My brother took out the garbage on Tuesday, and mother was VERY happy.My brother took out the garbage on tuesday, and Mother was very happy.My brother took out the garbage on Tuesday, and Mother was very happy. More on Linear Equations & Linear Systems: Question 1How many solutions does the system of equations belowhave?y - 2x + 2y-r-1Select one:noneinfinitely manyO o o oonetwo Hello! So Im pretty new to Spanish, and I dont really understand how sentences are structured. If someone who speaks Spanish could order the nouns, verbs, adverbs, adjectives, times, places, etc. in a statement and a question like they would be in Spanish (if that makes sense) Ill give you brainliest. Thank you so much! The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minutes. How much time should be given to complete the exam so that 80% of the students will complete the exam in the time given? Why did the Pilgrims start a colony in North America? 10c - 6(2c - 1) = -2 (c- 3). Solve for c A force of 500 N acts for a time interval of 0.001 second on an object of mass 0.20 kg that was initially at rest. Calculate the final velocity of the object after the force acts Why Hund's Rule is called maximum spin multiplicity rule? Given h(x)=-2x-5, solve for x when h(x)=9 what is the answer someone help please (6-x3)5=45 Please help ___ turn rocks into soil. which will not result in a value of zero? What are 5 best characteristics of mexico