What is the radius of a circle whose equation is x2+y2+8x−6y+21=0?

2 units
3 units
4 units
5 units

Answers

Answer 1

Answer:

2 units

Step-by-step explanation:

none

Answer 2

The radius of a circle with the given equation is 5 units.

Given the following data:

[tex]x^2+y^2+8x-6y+21=0[/tex]

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

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

Where;

h and k represents the coordinates at the center.r represents the radius of the circle.

Expanding the equation, we have:

[tex]x^2+y^2-2hx-2ky+(h^2+k^2-r^2)=0\\\\r=\sqrt{h^2+k^2}[/tex]

Comparing the terms, we have:

-2hx = 8x

h = -4

-2ky = -6y

k = 3.

For the radius:

[tex]r=\sqrt{-4^2+3^2}\\\\r=\sqrt{16+9} \\\\r=\sqrt{25}[/tex]

r = 5 units.

Read more on circle here: https://brainly.com/question/14078280


Related Questions

What are the three theorems we can use
to show that two triangles are similar? Draw
an example of each theorem using two
triangles.
10th grade LT1

Answers

Answer:

Hope this will help you....

WHAT DOES THIS MEAN GIMME THE ANSWER

Answers

Answer:

This is a geometric sequence and the ratio is equal to 4.

Step-by-step explanation:

Arithmetic means you can continue the sequence through addition or subtraction.

Geometric means you can continue the sequence through multiplication or division.

To get from 3 to 12, we could either add 9 (arithmetic) or multiply by 4 (geometric).

To get from 12 to 48, we could either add 36 or multiply by 4.

Since we are looking for a pattern, the sequence would be geometric. This is because the sequence can be continued by multiplying by 4 each time. It cannot be arithmetic because we cannot add by 9 each time.

On a side note, common difference is used when describing arithmetic while ratio is used to describe geometric.

A and b are positive integers and a-b=2. Evaluate the following:
(27^1/3b)/ ( 9^1/2a)

(this is urgent)

Answers

Answer:
a) 1/27
b) 1
c) 125
Step-by-step explanation:
a) (9^(0.5b))/(3^a)
(3²)^(0.5b) ÷ (3^a)
(3^b) ÷ (3^a)
3^(b - a)
a - b = 3
b - a = -3
3^(-3)
1/27
b) (27^(1/3b)) /(9^(0.5b))
(3³)^(b/3) ÷ (3²)^(0.5b)
(3^b) ÷ (3^b)
1
c) ( 125^(1/3a))/(25^(1/2b))
(5³)^(a/3) ÷ (5²)^(b/2)
5^a ÷ 5^b
5^(a - b)

125

Please help I will give brainliest

Answers

Answer:

option 1 is equivalent to 3^2.3^5

Answer: A.) 3^10 / 3^3

Circles and i neeeeed help

Answers

Answer:

60 degrees

Step-by-step explanation:

Using the 172 degrees and calculating it's distance from the angle, i conclude that it's 60

9514 1404 393

Answer:

  (b)  60

Step-by-step explanation:

The external angle is half the difference of the two subtended arcs.

  x° = (172° -52°)/2 = 120°/2

  x° = 60°

The value of x is 60.

The number of blueberry muffins made is 40% of the total number of total muffins they make daily.

On tueday, the baker makes 60 muffins. How many miffins does the Baker bakes on Tuesday?​

Answers

The answer to your question is:

24

Answer:

probably 24

Step-by-step explanation:

The area of a right triangle is 12 cm2. Which of the following could be the lengths of the legs of the triangle?

2 cm and 6 cm
4 cm and 6 cm
3 cm and 2 cm
3 cm and 4 cm

Answers

Answer:

6 and 4

Step-by-step explanation: since it is "cm2" it means it was already halved. This means that the answer was originally 24, 6x4 is the only one that equals 24.

Number 6 please help 10 points

Answers

Answer: The graph would have 4 bars

Step-by-step explanation: The graph would have 4 bars because there are 4 numbers

HALP ME PLZZ ASAP NO LINKS

Answers

Answer:

Step-by-step explanation:

NEED HELP I WILL BE GIVING BRAINLIEST:)

Answers

Answer:

mathematics

Step-by-step explanation:

A principal gathered data about the distance, in miles, that his teachers and bus drivers live from the school. The box plots below show these data. Based on the box plots, which statement is true? *

well i think is C or D

Answers

Answer:

Step-by-step explanation:

It is C

What is i30
A. 1
B. -i
C. -1
D. i

Answers

c) -1 is the answer to this question
C.-1 is the correct answer :)

If the number of students who participated in art decreased by 5, how many total students would the principal have expected in order to keep the number of students who participated in art proportional to the total number of students surveyed? ​

Answers

Answer: There isn’t enough context.?

Step-by-step explanation:

Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the approximate diagonal length of the table top? Round to the nearest tenth.

Answers

Answer:

8.5 ft = length of diagonal

Step-by-step explanation:

If A = 36 ft^2, then s (length of one side) = 6 ft.

The diagonal and any one side create a 45 degree angle.  

sin 45 degrees = (length of side opposite the 45 degree angle)/hypotenuse

                                                          6 ft            6√2 ft          

Then (length of hypotenuse) = ------------------ = ---------------

                                                      sin 45 deg            1

This works out to 8.5 ft = length of diagonal

Using the function g(x) = -2x + 5, what would the input need to be for an output of -5?

5

0

15

Will mark

Answers

Step-by-step explanation:

Out put = g(x) = -5 ==> -5 = -2x + 5 ==> x = input = 5

Answer:

5

Step-by-step explanation:

g(x) = - 2x + 5

Then

g(x) = - 5

- 2x + 5 = - 5

- 2x = - 5 - 5

- 2x = - 10

x = 10 / 2

x = 5

Venus and Arian went berry picking. Venus picked 3 1/3 buckets of berries and Arian picked up 5 4/5 buckets. How many buckets of berries do they have altogether? If they need 11 full buckets, how many more buckets of berries do they need?

Answers

Answer: 9.13333333333

3 1/3+ 5 4/5=

Answer#2  1.86666666667

( YOU’LL GET MARKED BRAINLIEST !! )
The topping dispenser at the frozen yogurt bar contains gummy bears 15 blue, 17 yellow, 28 red. With a turn of the handle, the dispenser randomly sends one gummy bear to garnish your frozen yogurt. Determine the probability of selecting a blue gummy bear.

A. 28/60

B. 15/60

C. 3/20

D. 1/4

Answers

Answer:

1/4

Step-by-step explanation:

The answer to this question is the amount of blue gummy bears over the total amount of gummy bears. This is 15/60 or 1/4.

Answer:

Depending on if you simplify it, it could be B or D

Step-by-step explanation:

You need to add all the gummies together, so 15+17+28. It would equal 60. Take out the blue and you get the fraction:

[tex]\frac{15}{60}[/tex]

You can simplify this to

[tex]\frac{1}{4}[/tex]

Good Luck!!!!

8 yd
6 yd
15 yd
10 yd
Answer:




please help!:)

Answers

Answer:

What's the question???

Step-by-step explanation:

Which value of x makes the inequality -* < 8 true?
A
X = 32
B
X = 35
x = 34
D
= 2

Answers

Answer:

D: x = 2

Step-by-step explanation:

Go down the multiple choices answers and plug each value in for x until the inequality is true:

A:

1/4(32) < 8

1/4 × 32/1 < 8

32/4 < 8

8 < 8

8 is not less than 8 so this is false (8 = 8).

B:

1/4(35) < 8

35/4 < 8

8 3/4 < 8

8 3/4 is not less than 8 so this is false (8 3/4 > 8).

C:

1/4(34) < 8

34/4 < 8

8 2/4 < 8

8 2/4 is not less than 8 so this is false (8 2/4 > 8).

D:

1/4(2) < 8

2/4 < 8

2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).

Simplify: -(14x)0y(-7)z

Answers

-14x*0*-7z

0y=0
-(14x)=-14x

If we had the equation x+4=14, what would we do to get x by itself

Answers

Answer:

Subtract 4 from both sides

Step-by-step explanation:

x+4=14

-4 -4

x=10

Answer:

substract 4 from both sides of the equation

Step-by-step explanation:

so we have x + 4 = 14

how can we get x?

We can get x by simply substracting 4 from both sides:

x + 4 = 14  => x = 10

and now we can tell, that the x is 10, easy right?

Use the distributive property to simplify the expressions.

1. b(6 + 5b)
2. 4( n + 5)

Answers

Answer:

Step-by-step explanation:

Ok i can help

1. Step 1

b(6 + 5b)  Apply distributive property

b*6+b*5b

Step 2

b*6+b*5b  Multiply

6b+5bb

Step 3

6b+5bb

6b+5b^2

Answer

6b+5b^2

2 Step 1

4( n + 5)  Apply distributive property

4n+4*5

Step 2

4n+4*5  Multiply the numbers

4n+20

Answer

4n+20

hope this helps

What is the value of CA?
15


9
18
30
15

Answers

15 because The value of CB=CA
And CB=CA because the there are 2 dashes on the lines, which mean they are equal

This might be a little confusing, hope this helps :D

using long division what is 238 divided by 11

Answers

Answer:

21

7 Remainder

Step-by-step explanation:

1 1 ⟌ 2 3 8

 0    

 1 1 ⟌ 2 3 8

0    

 1 1 ⟌ 2 3 8

      0    

 0    

 1 1 ⟌ 2 3 8

     - 0    

       2    

       0    

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

       0 2  

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

0 2  

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

       2 2  

       0 2  

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

     - 2 2  

         1   0 2  

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

     - 2 2  

         1 8

0 2 1

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

     - 2 2  

         1 8

       0 2 1

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

     - 2 2  

         1 8

         1 1

       0 2 1

 1 1 ⟌ 2 3 8

     - 0    

       2 3  

     - 2 2  

         1 8

     -   1 1

           7

238 divided by 11 equals 21 with a remainder of 7.

To divide 238 by 11 using long division, we follow these steps:

Set up the division: Write 238 as the dividend and 11 as the divisor. Place the dividend inside the long division symbol and the divisor outside of it.

Begin dividing: Divide the first digit of the dividend (2) by the divisor (11). The quotient is 0 since 2 is less than 11.

Bring down the next digit of the dividend (3) and place it after the 0. We now have 23.

Divide 23 by 11. The quotient is 2 as 11 goes into 23 two times.

Multiply the divisor (11) by the quotient (2) and subtract the result from 23:

23 - (11 x 2) = 23 - 22 = 1

Bring down the next digit of the dividend (8). We now have 18.

Divide 18 by 11. The quotient is 1 as 11 goes into 18 one time.

Multiply the divisor (11) by the quotient (1) and subtract the result from 18:

18 - (11 x 1) = 18 - 11 = 7

There is no more digit to bring down, so we have completed the division. The final remainder is 7.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ6

There plz help me I still have one more

Answers

Answer:

D.

5/5 is basically 1 whole number :)

easy algebra question below first correct answer gets brainliest, if you put one of those links you will get reported and blocked

Answers

Answer:

15^2 = 8^2 + x^2 = 12.69.

Step-by-step explanation:

Help T_T ill give brainlist

Answers

Answer:

See below.

Step-by-step explanation:

The domain and range are correct.

The relation is a function because no x value is used more than once.

this one actually has the equations

Answers

Answer:

X/4 = 2

Step-by-step explanation:

x/4 = 2

X = 8

How do I find the next four of the sequence?

Answers

Step-by-step explanation:

In this arithmetic sequence, the common difference d is 7. You can find this by subtracting a term from the consecutive term: 16 - 9 = 7, 23 - 16 = 7. In order to find the next four terms, keep adding 7 to the previous term. The next four terms are 30, 37, 44, and 51.

Answer:

Step-by-step explanation:

[tex]a_{1}[/tex] = [tex]\frac{3}{4}[/tex]

d = - [tex]\frac{1}{4}[/tex]

[tex]a_{2}[/tex] = [tex]\frac{3}{4}[/tex] + ( - [tex]\frac{1}{4}[/tex] ) = [tex]\frac{1}{2}[/tex]

[tex]a_{3}[/tex] = [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

[tex]a_{4}[/tex] = - [tex]\frac{1}{2}[/tex] - [tex]\frac{1}{4}[/tex] = - [tex]\frac{3}{4}[/tex]

[tex]a_{5}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{1}{4}[/tex] = - 1

3 Which ordered pair is the solution for this
system of linear equations?
2x + y = 6
5x + 3y = 14

A (-2, 10)
B (4,-2)
C (1,3)
D (3,0)

Answers

Answer is : B (4,-2) .

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