Circle C has radius 5 and center C(6,-2). What is the equation of circle C ?

Circle C Has Radius 5 And Center C(6,-2). What Is The Equation Of Circle C ?

Answers

Answer 1

The equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Equation of a circle

The equation of a circle is [tex](x-h)^{2}+(y-k)^{2} =r^{2}[/tex] where r is the radius and (h,k) is the center of a circle.

How to find the equation of a circle for the given condition?

The radius of a circle is 5.

Also, the center of a circle is (h,k) = (6,-2)

So, the equation of a circle is [tex](x-6)^{2}+(y-(-2))^{2} =5^{2}[/tex]

Simplify further the above equation.

[tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Thus, the equation of the circle C is [tex](x-6)^{2}+(y+2)^{2} =25[/tex]

Hence, option (D) is correct.

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Related Questions

Can i have some help please

Answers

Answer:

bababooey

Step-by-step explanation:

15 divided by 1/9 please i just need 15 divided by 1/9

Answers

Answer:

135 :)

Step-by-step explanation:

15 divided by 1/9 is equal to 135.

We have,

When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).

This concept is known as "invert and multiply."

By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.

Now,

To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.

15 ÷ (1/9) is the same as 15 * (9/1).

Multiplying these fractions, we get:

15 * (9/1) = 135/1 = 135.

Therefore,

15 divided by 1/9 is equal to 135.

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how do you differentiate more and more than? can these terms be used in mathematics? how?​

Answers

Answer:

The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.

Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.

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There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143


PLSS SHOW YOUR WORK PLS

Answers

Answer:

B. 143

Step-by-step explanation:

Subtract 113 from 256 and you get 143. 143 is not less than or greater than 143 so it is equal.

Helppppl +13 points & +star

Answers

Answer:

hope it helps

Step-by-step explanation:

...........

The circumference of a circle is about 40.82 inches. What is the diameter and the radius of the circle? Round to the nearest tenth and show all work.

Answers

Answer:

Step-by-step explanation:

The diameter is 13 and the radius is 6.5

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

I need help I will give BRAINLEST

Answers

Answer:

25%

Step-by-step explanation:

To solve this, we can use the percent change formula shown in the picture attached below. [tex]x_{2}[/tex] is the new value, [tex]x_{1}[/tex] is the old value, and [tex]C[/tex] represents the change. For this problem, 80 is the new value and 64 is the old value. Let's plug those numbers into the formula and solve for the percent change:

[tex]C = \frac{(80-64)}{64} \\[/tex] × [tex]100[/tex]

[tex]C = \frac{16}{64}[/tex] ×[tex]100[/tex]

[tex]C = 0.25[/tex] ×[tex]100[/tex]

[tex]C = 25%[/tex]

Thus, the answer is 25%.

The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.

What is the value of x, the side length of Square 2?

Answers

X=12 ( I using the pic is easier)

6th grade math help me plzzzz

Answers

Answer:

E. would be your answer

Step-by-step explanation:

ok so find an angle on figure A. and count how many units it takes to get to the same angle on figure B.

The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?

Answers

Answer:

.20(7) ≤ x .20(8)

Step-by-step explanation:

let 'x' = amount of time in REM sleep

Answer:

1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6

Step-by-step explanation:

You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.

Hope this helps!

how much longer is a 1 -inch button than a 3/8 -inch button

Answers

Answer:

5/8

Step-by-step explanation:

i took the quiz

Write the equation of the line passing through the points (-7,4) and (7,2).​

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

This could be wrong. But I'm pretty sure

Through which point must the graph of y = 4 logs (x) + 2 pass?
A. (5,6)
B. (5,8)
C. (5, 12)
D. (5, 40)

Answers

The graph of y = 4 logs (x) + 2 passes through the point (5,8).

The given equation of the graph is y = 4 logs (x) + 2

We have to find the point which passes through the graph

The equation y = 4 logs (x) + 2 can be rewritten as y = log(x⁴) + 2. Substituting x = 5 into the equation gives us y = log (5⁴) + 2

= log (625) + 2

= 8.

Therefore, the graph of y = 4 logs (x) + 2 passes through the point (5,8).

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19 = 4x + 3 *
Plz, help me with this!

Answers

Answer:

x=4

Step-by-step explanation:

19 = 4x+3

Subtract 3 from each side

19 -3 =4x+3-3

16 = 4x

Divide each side by 4

16/4 = 4x/4

4 =x

Answer:

x=4

Step-by-step explanation:

19= 4x+3

19-3= 4x

16= 4x

x= 16/4= 4

x= 4

hope it helps! please mark me brainliest

thank you!! have a good day ahead

Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.

Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .

Answers

Answer:

70

Step-by-step explanation:

Anyone knows this please help me

Answers

Answer:

(0, 2 ) and (- [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x² + 4x - y = - 2 → (1)

x² + y = 2 → (2)

subtract x² from both sides in (2)

y = 2 - x² → (3)

Substitute y = 2 - x² into (1)

2x² + 4x - (2 - x²) = - 2

2x² + 4x - 2 + x² = - 2

3x² + 4x - 2 = - 2 ( add 2 to both sides )

3x² + 4x = 0 ← in standard form

x(3x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x = 0

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

Substitute these values into (3) for corresponding values of y

x = 0 : y = 2 - 0² = 2 - 0 = 2 ⇒ (0, 2)

x = - [tex]\frac{4}{3}[/tex] : y = 2 - (- [tex]\frac{4}{3}[/tex] )² = 2 - [tex]\frac{16}{9}[/tex] = [tex]\frac{2}{9}[/tex] ⇒ ( - [tex]\frac{4}{3}[/tex], [tex]\frac{2}{9}[/tex] )

pls help you i’ll give brainliest

Answers

The answer is 6+(-4) = 2

Answer:

2

Step-by-step explanation:

it's just like saying 6-4 is two a negative is like a positive

Multiple Choice


Which of the following represents a unit rate?
A. four dollars over twelve books


B. five pages over two minutes


C. eighty beats over one minute


D. seventy two inches over two yards

Answers

Answer:

c

Step-by-step explanation:

unit rate is a rate with one in the denominator

can someone help me asap please

Answers

Answer:

Here you go. It is really easy. All you have to do is translate the points. If it says translate 3 units up, you'd pick a point, and move it up 3 units. Then do it with all the others and BOOM! You did it! Try one of the problems yourself to make sure you understand what to do next time.

Have a nice day!

There are 25 students in the class. 36% of the students ate hotdogs for lunch. How many students ate hotdogs?​

Answers

Answer:

9

Step-by-step explanation:

25 times .36 is 9!

I hope this helps!

Answer:

36% x 25= 9

9 students ate hotdogs

Step-by-step explanation:

just find out how many students are 36% of the class, all i did was take the precent of the class and multiplied it by the number of students in the class in this case 25

Evaluate 6x - 4y when x = 5, y = 2

Answers

Answer:

22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right

Step-by-step explanation:

6.x=

6.5=30

4.y=

4.2=8

6.5=30 4.2=8

30-8=22

What percentage of a day is 4 hours?​

Answers

Answer:

1/6%

Step-by-step explanation:

i belive thats the answer hope it helps

4 months to 8 years in ratio

Answers

Answer:

4:96

Step-by-step explanation:

It has to be the same kind of thing so...

1 year is 12 months

8 * 12 = 96

Answer:

4 months : 8 years

reduced...

1 month : 2 years

Step-by-step explanation:

The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year. ​

Answers

Given:

Current population = x

The population of a city is expected to decrease by 6% next year.

To find:

The expression that represents the expected population next year. ​

Solution:

We have,

Current population = x

Decrease rate = 6%.

Expected population next year = Current population - 6% of Current population

                                                    =[tex]x-\dfrac{6}{100}x[/tex]

                                                    =[tex]x-0.06x[/tex]

                                                    =[tex]0.94x[/tex]

Therefore, the expression for the expected population next year is 0.94x.

yall please help me with this math question :/​

Answers

3 chocolates bc it’s going up by 3 each time it escalates

78=6 f please help solve ion have much time

Answers

Answer:

hii

Step-by-step explanation:

3x+18=3(x+6)please help

Answers

The correct answer is 0

Answer: X = 4

Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.

5x-3 =2x+15
Someone pls help for geometry

Answers

Answer:

x = 6

Step-by-step explanation:

5x-3 = 2x+15

i) move 2x to the left-hand side and change its sign

5x-2x-3 = 15

ii) move -3 to the right-hand side and change its sign

5x-2x = 15+3

iii) collect like terms

3x = 15+3

iv) add the numbers

3x = 18

v) divide both sides of the equation by 3

[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]

[tex]x = 6[/tex]

(4, 2); slope = 3
write the equation of the line

Answers

Answer:

y=3x-10

Step-by-step explanation:

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