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 2x + 4 = 2x + 4

Answers

Answer:

This is for x

Step-by-step explanation:

SOLVE FOR X (COMPLEX SOLUTION)

x∈C

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈C

SOLVE FOR X

x∈R

SOLUTION STEPS

2x+4=2x+4

This is true for any x.

x∈R

the sum of max's age (x) and his sister's age (y) is 8​

Answers

Answer:

Ages: 4 and 4

Equation: 4+4=8

Step-by-step explanation:

x+y=8

4+4=8

18 over 30 in its simplest form

Answers

Answer:

3/5

Step-by-step explanation:

18/ 30 can be simplified by diving it by 3

6/10 simplified again by 2

3/5

Answer: 3/5

Step-by-step explanation:

Can someone solve this ASAP!!! pls thx​

Answers

Answer: just add givento number 1 and your all done bro

Step-by-step explanation:

of the function.
16. y = 3x + 4
Domain:0, 5, 7, 10
find the range

Answers

Answer:

all is pictured and shown

Find the distance between the two points. (round to the nearest hundredths)



distance:

Answers

Answer:

d = 5.10

Step-by-step explanation:

The distance between two points is given by

d = sqrt( ( y2-y1)^2 + ( x2-x1)^2 )  where ( x1,y1) and ( x2,y2) are the two points

d = sqrt( ( 5-6)^2 + (8-3)^2 )  

d = sqrt( ( -1)^2 + (5)^2 )  

d = sqrt(  1+25)

d = sqrt(26)

d = 5.099019514

Rounding to the nearest hundredth

d = 5.10

Answer:

[tex]d=\sqrt{26}\approx5.10[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We can see that Point R is at (3,6), and Point E is at (8,5).

Let's let (3,6) be (x₁, y₁) and let's let (8,5) be (x₂, y₂). So, substituting them into our formula, we'll get:

[tex]d=\sqrt{(8-3)^2+(5-6)^2[/tex]

Subtract:

[tex]d=\sqrt{(5)^2+(-1)^2[/tex]

Square:

[tex]d=\sqrt{25+1}[/tex]

Add:

[tex]d=\sqrt{26}[/tex]

Approximate. Use a calculator:

[tex]d=\sqrt{26}\approx5.10[/tex]

So, the distance between RE is approximately 5.1 units.

And we're done!

4 subtracted from twice w, the result is 20 more than w. Find w

Answers

Answer:

w = 24

I hope this helps!

W=12 as shown in pic good luck

Please help meeeeeeeeeee

Answers

8-5=3 : This means you add three each time

f(5)=8+3=1

f(6)=11+3=14

hope this helps :)

if not snap chat has a feature in the search bar and you can get answers by that

Which represents a function? A 2-column table with 5 rows. The first column is labeled x with entries negative 10, negative 5, 0, 5, 10. The second column is labeled y with entries 84, 31.5, 4, 1.5, 24. A mapping diagram shows a relation, using arrows between domain and range for the following ordered pairs: (8, negative 4), (negative 2, 10), (negative 2, negative 7). In the domain, the number 3 does not have a relation to a number in the range. A series of ordered pairs: (4, 5), (6, negative 2), (negative 5, 0), (6, 1)

Answers

Answer:

The 1st table represents a function

Step-by-step explanation:

Just trust me on this I took the quiz on edge 202 and got it right

the graph is

x     |     Y

--------------

-5   |  -22

--------------

0    |  -2

------------

3    |  10

−2xy 4 (7x 2 )
someone please help

Answers

Answer:

-112x²y

Step-by-step explanation:

The expression [tex]-2xy 4 (7x^2 )[/tex] can be simplified as [tex]-112x^2y[/tex]

How can the expression be simplified?

A finite collection of symbols that is well-formed in accordance with context-dependent principles is called an expression or a mathematical expression. In mathematics, a statement is considered to be an expression if it contains at least two different integers (known or unknown) and at least one operation.

Given that [tex]-2xy 4 (7x^2 )[/tex]

Then we can see that there are two x, then we can multiply together, then multiply 4 and 7 together as;

[tex]-112x^2y[/tex]

Learn more about expression at;

https://brainly.com/question/1859113

#SPJ1

How many calories will Jacob burn in 1 minute while roller-skating????

Answers

Answer:

the answer is five

Step-by-step explanation:

first think of it like 40 over 200 then simplified down. which will get you 1/5 ,therefore five is the answer.

Help I really don't know how to do this I need help !!!!!!

Answers

Answer:

It would be C for it is the lowest.

Step-by-step explanation:

Since all of these numbers are fractions we can divide them by the denominator and see which one would be the lowest.  If we do that we will end up getting C.

A - 0.5

B - 0.5

C - 0.4

D - 0.45

Solve for P
5/6p + 1= 3/4p -4

Answers

hii so p is equal to -60

Answer: P= -60

Step-by-step explanation:

5/6p +1=3/4p -4

5/6p=3/4p-4.       Subtract 1 from both sides

5p=9/2p-30.        Trick( if there is a fraction multiply the denominator on both sides to make it a non fraction so life is easier, as I did I first multiply by 6)

10p=9p-60.           multiply the second denominator on both sides(multiple by 2)

P=-60.                     Subtract 9p on both sides and keep the sign and you’ll get -60

could someone help me with this, I have a few minds left. thanks!! Also marking as brainiest.

Answers

10 is in between the perfect squares of 3 and 4 (because 3² is 9 and 4² is 16)

so √10 is located between √9 and √16

Which recursive formula can be used to generate the sequence shown, where f(1) = 9.6 and n > 1? 9.6, –4.8, 2.4, –1.2, 0.6, ...​

Answers

Answer:

whoa slow down one by on pls its hard for me 2 answer all that at once

Step-by-step explanation:

The store charges $1.95 for a pack of 5 pens. What is the individual price per pen ?
A - .50
B- $1.95
C- $2.56
D- .39
does anyone know or can explain ?

Answers

The answer is D, 1.95 divided by 5 equals 0.39.

Why is it imprecise to say that the equation 25 x 2 + 27 + 0 has no solution? Find all solutions of the equation.

Answers

Answer:

77

Step-by-step explanation:

77 is the only correct answer

Five hundred sixty two and nine tenths

Answers

Answer:

562.9

Step-by-step explanation:

help me find the answer!!

Answers

hehe you can easily search it up . i do it all the time in math

Use the image below to solve for x.

Answers

Answer:

x will equal 61 degrees

Step-by-step explanation:

The total degree of a pentagon is 540. You subtract all the angles you have (138, 144, 107, and 90) and that will get your sum.

Taki's are originally $3.25 a bag. You have a 25% off coupon. What
is the final price of the Takis?

Answers

Answer:

3.25 * .75 = $2.44

Step-by-step explanation:

Answer:

Your answer should be $2.44 or around there

Step-by-step explanation:

-0.3535 is it rational or irrational​

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number expressed as a fraction. So the number could be a decimal or percent.

Hope This Helps :)

The given decimal number is rational number.

What is the rational number?

Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0. This means that rational numbers include natural numbers, whole numbers, integers, fractions of integers, and decimals (terminating decimals and recurring decimals).

The given decimal number is -0.3535.

Here, the given decimal number is repeated and terminating decimal

So, the given decimal is rational number

Therefore, the given decimal number is rational number.

To learn more about the rational numbers visit:

brainly.com/question/19161857.

#SPJ2

Which expression is shown using the model below? A model with 6 rows of 6 squares and 6 rows of 5 squares. 5 (6 + 6) 5 (6 + 5) 6 (6 + 5) 6 (6 + 10)

Answers

Answer:

c

Step-by-step explanation:

i took a quiz and got it right

C

Step-by-step explanation:

i also took the test

Find the slope
x+3=0

Answers

Answer: undefined

You would subtract 3 from both sides to get x= -3 which would be a vertical line meaning it has no slope

To the nearest hundredth, what is the distance between point (5, 1) and point (6, 8)?

Answers

Answer:

it is 5/2

Step-by-step explanation:

Answer:

7.07

Step-by-step explanation:

See image for explanation

D
Question 3
Write the phrase as an expression.
12 more than the quotient of a number k and 5


Answers

Answer:

12+k/5

Quotient is a quantity produced by the division of two numbers.

half a number decreased by three is equal to 38 less than four times the number

Answers

Answer:

10

Step-by-step explanation:

let the unknown number be x

so half of x decreased by 3 is

1/2x -3

It is equal to 38 less than 4 times the number which is x; 4x-37

THEREFORE;

½x-3 =4x -38

x-6/2 = 4x-38

cross-multiply

x-6 =8x -76

x-8x = -76+6

-7x = -70

Divide both sides by -7

So x =10

Solve 19 - 81 = 14.
q=-20
q= -18
q = -16
q= -14
q= -12
9 = -10
9 = -8
9 = -6
9 = -4
9 = -2
q=0
a = 2
9 = 4
a = 6
9 = 8
9 = 10
a = 12
9 = 14
9 = 16
9 = 18
9 = 20
9 22
9 = 24
no solution

Answers

Answer:

-61

Step-by-step explanation:

why becuase when you do the math thats what you get

Expand each expressions and combine like terms if possible
3/4(16x – 27 – 1)​

Answers

Answer:

12x-21

Step-by-step explanation:

3/4(16x-27-1)

3/4(16x-28)

12x-21

Which of these would not produce a representative sample that determines the favorite sport of the students at the local high school?

Answers

Answer:

The answer is ask ten students wearing football jersey each day for a week

Step-by-step explanation:

Answer:

it its the pizza one because people could be bias and that would not give a very acturate answer

Step-by-step explanation:

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