This circle is centered at the point (2,6), and the length of its radius is 4. What is the equation of the circle?

Answers

Answer 1

Answer:

The equation of the circle with centre (h,k) and radius (r) can be written as :-

[tex] \\ \qquad \sf \: {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ [/tex]

So, we are given with :-

h = 2 k = 6 r = 4

Now, by putting their value we can write the equation as :-

[tex] \\ \qquad\sf \: {(x - 2)}^{2} - {(y - 6)}^{2} = {4}^{2} (16) \\ [/tex]

Expanding this, we get :-

[tex] \\ \sf {x}^{2} - 4x + 4 + { y}^{2} - 12y + 36 = 16 \\ [/tex]

Rearranging and by subtracting by 16 from both sides we got standard polynomial as -

[tex] \\ \sf \: {x}^{2} + {y}^{2} - 4x - 12y + 20 = 0 \\ [/tex]


Related Questions

what is the equation represented​

Answers

Answer:

y=-8x-6, y=-4x, y=-2x+3, x=6

Step-by-step explanation:

y=mx+b

use that formula to make you're equations but remember m represents slope and b what is going up by

Please help due in 10 min

Answers

First one tell me if I am right!

Answer: the first option

The department manager recorded the number of sick days taken last year by each employee, as shown in the table. What is the mean number of days employees were sick? Round to the nearest hundredth. A. 4.57 days B. 5.57 days C. 4.43 days D. 3.86 days I WILL MAKE U BRAINLLEST IF YOU ANSWER COREECTLY!!!!!!!



In 5.......4........3.......2......1...... ANSWER

Answers

Answer:

It's C

Step-by-step explanation:

The mean number of days employee were sick is 4.43 days.

Option C is correct.

Here,

Given that;

The department manager recorded the number of sick days taken last year by each employee, as shown in the table.

We have to find the mean number of days employee were sick.

What is Mean?

The average of the given numbers is called Mean and is calculated by dividing the sum of given numbers by the total number of numbers.

Now,

In given table;

Number of sick days are,

7, 4, 2, 6, 4, 5, 3

Hence,

Mean number of days employee were sick = [tex]\frac{7+4+2+6+4+5+3}{7}[/tex] [tex]= \frac{31}{7}[/tex][tex]= 4.4285[/tex]

Now, Rounding the number to the nearest hundredth we get;

Mean of number of days employee were sick = 4.43 days

Hence, The mean number of days employee were sick is 4.43 days.

Option C is correct.

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if it is 2:20 what time would it be 1 hour and 30 minutes later

Answers

Answer:

I would say 3:30

Step-by-step explanation:

In a hour and 30 minuets it will be 3:50

Using one or more of your senses to gather information is called O Inferrence O Prediction O Observation O Hypothesis​

Answers

The 3rd option Observation

Round 97.081 to the nearest tenth

Answers

Answer:

97, that's the answer.

Answer: 97.1

Step-by-step explanation: the tenth is the first number after the decimal place so in your question that number is the 0 and the number next to it is 8 so, our 0 needs to change because 8 is bigger than 5 on the number line which makes our 0 increase to 1. You don't need to change the whole number at all.

Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initial velocity of 50 feet per second. How long will it take for the statue to hit the ground ?

Answers

Answer:

13 seconds

Step-by-step explanation:

It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0

Find the x-intercept of the graph of the equation y = -2.65x + 25.
What does the x-intercept mean in terms of the situation?

Answers

Answer:

x=9.4

Step-by-step explanation:

x intercept is the point where the graph crosses the x axis and y always =0

-2.65x+25=0

-2.65x=-25

x=-25/-2.65

x=500/53

x=9.4

A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?

Answers

Answer:

The bench costs $425

Step-by-step explanation:

First lets define our variables:

t = garden table

b = bench

Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.

t + b = 755

t = b - 95

For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:

b - 95 + b = 755

2b - 95 = 755

2b = 850

bench = 425

To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:

t = b - 95

t = 425 - 95

table = 330

I hope this helps!

-TheBusinessMan

can someone help me i'm having trouble with this

Answers

Answer: it should be D i hope this helped (if it did let me know)

solve this please.
[tex]3(m - 5) + 11 = - 85[/tex]

Answers

Answer:

Bro this some alien hyroglyphics

Step-by-step explanation:

Answer:

m = - 27

Step-by-step explanation:

Given

3(m - 5) + 11 = - 85 ← distribute and simplify left side

3m - 15 + 11 = - 85

3m - 4 = - 85 ( add 4 to both sides )

3m = - 81 ( divide both sides by 3 )

m = - 27

if it is 5:30 pm what time would it be a half and hour later

Answers

Answer:

6 pm if you're saying in half a hour. 7 if you're saying an hour and a half

Step-by-step explanation:

Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)

Answers

Answer:

-14y + 34

Step-by-step explanation:

Step 1: Write out equation

6(5 - 3y) + 4(y + 1)

Step 2: Distribute

30 - 18y + 4y + 4

Step 3: Combine like terms

-14y + 34

Answer:

34-14y

this is simplifed

Step-by-step explanation:

(4x)(3z+y)+2x(3y+2z)=axz +bxy. Determine the values of a, b, and c

Answers

Answer:

a = 16

b = 10

In the equation from the question there's no value that you can determine for c.

Step-by-step explanation:

(4x)(3z+y)+2x(3y+2z)=axz+bxy12xz+4xy+6xy+4xz16xz+10xy

I WILL GIVE BRAINLIEST!!!!! Consider the scenario below. This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream. Use what you know about recursive sequences and iteration to explore the mathematics related to this scenario. 1. Determine the amount of medication that is in Aldi’s bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.

Answers

Answer:

225 mg remain in Aldi bloodstream

Step-by-step explanation:

150mg of amoxicillin was given daily for 10 days equals 1,500

of the 1500-40% =600mg

600mg divided by  4 days = 225mg still in blood stream

9(8 - x) = 3x
Will mark brainlest!

Answers

Answer: x = 6

Step-by-step explanation:

9(8 - x) = 3x

72 -9x = 3x

add 9x to both sides

72 = 12x

divide 72 by 12

x = 6

Which value is greater:
A) 0.66 or 5/8


A

B

Answers

B bbbbbbbb bbbbb. Bbbbbbb

if
f(x)=x^2+2x-4
and
g(x)=3x+1
find
f(g(x))=__x^2+__x+__

Answers

Step-by-step explanation:

f(x) = x² + 2x - 4

g(x) = 3x + 1

f(g(x)) = f(3x + 1)

f(3x + 1) = [3x + 1]² + 2[3x + 1] - 4

= 9x² + 6x + 1 + 6x + 2 - 4

= 9x² + 12x -1

Which of the following expressions is correct?

|-37| = 37
-|37| = 37
|-37| = -37
-|-37| = 37

Answers

Answer:

The first one is correct

Step-by-step explanation:

Absolute value (Anything that is inside the tabs) will always be positive, even if there is a negative sign in the number. If the number is already positive, it's still positive.

Answer:

the first one

Step-by-step explanation:

the negative sign is in the box

5. Write the equation of the line graphed below.

Answers

Answer:

y=2x+3

Step-by-step explanation:the rise over run is 2/1 indicating that the slope is 2. the line also passes through 3 which means the y intercept is 3.  

plz help me with this qustion

Answers

c is not true :))) you’re welcome

Answer:

c

Step-by-step explanation:

a.) 7+7=14 and 19-5=14

b.) 9+9=18 and 11+7=18

c.) 19 and 13+5=18 ✗

d.) 20-12=8 and 4+4+8

What two numbers multiply to 45 and add up to 14

Answers

Answer:

5 x 9 = 45 and 5+9= 14

Step-by-step explanation:

brainliest please

5 and 9 (5 x 9) = 45, and (5+9) = 14

When traveling to the airport, your checked baggage must be under 50 pounds. There are about 2.2 lbs. in one kilogram. What is this weight in kilograms? Round to the nearest tenth. *
I need help

Answers

Answer:

22.7 kg

Step-by-step explanation:

Using a conversion factor:

50 lb × (1 kg / 2.2 lb) = 22.7 kg

Using a proportion:

1 kg / 2.2 lb = x kg / 50 lb

2.2x = 50

x = 22.7

What made the two equivalent fractions 1/2 and 5/10 have the same value

Answers

Answer:

1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.

Hope this helps!

Multiply the fraction by 5/5 makes them equivalent fraction.

what is fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/2 and 5/10

Now, to make fraction equivalent we have to find the factorizing factor.

As, 1/2 x 5/5= 5/10

Hence, multiply the fraction by 5/5 makes them equivalent fraction.

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-2+n=-8(1-8n)+6 solve for n.

Answers

-2 + n = -8(1 - 8n) + 6

Distribute the -8

-2 + n = -8 + 64n + 6

Combine like terms.

-2 + n = 64n - 2

Add 2 to both sides and subtract n from both sides.

0 = 63n

Divide both sides by 63

0 = n

PLEASE HELP ASAP!!!!

Answers

Answer:

11

Step-by-step explanation:

Since M is on LN,

LM + MN = LN.

[tex](2x+7)+3x=4x+9[/tex]

Remove brackets:

[tex]2x+7+3x=4x+9[/tex]

Add the x terms:

[tex]5x+7=4x+9[/tex]

Subtract 7 from both sides:

[tex]5x+7-7=4x+9-7[/tex]

[tex]5x=4x+2[/tex]

Subtract 4x from both sides:

[tex]5x-4x=4x+2-4x[/tex]

[tex]x=2[/tex]

[tex]LM=2x+7=2(2)+7=4+7=11[/tex]

In this diagram, how many points are coplanar with points A, B and R?
four
six
two
one

Answers

I think the correct answer is 4

Solve the formula F = 9/5C + 32 for C
for C____

Answers

Answer:

C = (5/9F) - (160/9)

Step-by-step explanation:

F = 9/5C + 32

F - 32 = 9/5 C

C = 5/9 (F-32)

C = (5/9F) - (160/9)

Answer:

the answer 5/9F - 160/9

how to solve −3d + 10 = 43

Answers

Answer:

-3d = 43-10

-3d = 33

d = 33/-3

d = -11

Answer:

d = 11

Step-by-step explanation:

Simplifying

3d + 10 = 43

Reorder the terms:

10 + 3d = 43

Solving

10 + 3d = 43

Solving for variable 'd'.

Move all terms containing d to the left, all other terms to the right.

Add '-10' to each side of the equation.

10 + -10 + 3d = 43 + -10

Combine like terms: 10 + -10 = 0

0 + 3d = 43 + -10

3d = 43 + -10

Combine like terms: 43 + -10 = 33

3d = 33

Divide each side by '3'.

d = 11

Simplifying

d = 11

Hope this helps!

what is (9w)^2 (in other words, to the power of two.)

Answers

Answer:

9w to the power of is 81w

Step-by-step explanation:

What are you looking for for the answer?
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