1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna35 [415]
9 months ago
11

The equation of a circle is x^2+y^2-2x +6y-6=0. Find the center and radius of the circle by completing the square.you must inclu

de all steps. Your response must be at least 5-7 sentences at a minimum.
Mathematics
1 answer:
zavuch27 [327]9 months ago
6 0

Answer:

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

Explanation:

Given the equation of circle;

x^2+y^2-2x+6y-6=0

we want to re-write it in the form;

(x-h)^2+(y-k)^2=r^2

where;

\begin{gathered} (h,k)\text{ is the center of the circle} \\ r\text{ is the radius} \end{gathered}

Applying Completing the square method;

\begin{gathered} x^2+y^2-2x+6y-6=0 \\ x^2-2x+1+y^2+6y+9=6+1+9 \\ (x-1)^2+(y+3)^2=16 \\ (x-1)^2+(y+3)^2=4^2 \end{gathered}

comparing the derived equation to the general form we have;

\begin{gathered} h=1 \\ k=-3 \\ r=4 \end{gathered}

Therefore;

The center of the circle is at;

(1,-3)

The radius of the circle is;

r=4

You might be interested in
I already know dis but what I want to know if u do. what is the difference between a prime number and a composite ​
Lynna [10]

Answer:

The opposite of prime numbers are composite numbers. A composite number is a positive  natural l number that has at least one positive divisor other than one or itself. The number 1 is not a prime number by definition - it has only one divisor.

Step-by-step explanation:

5 0
3 years ago
An electrician has a piece of wire that is 4 and 3/8 centimeters long. She divides the wire into pieces that are 1 and 2/3 centi
Vlada [557]

Answer:

She has approximately 3 pieces ( 2.625)

Step-by-step explanation:

To get the number of pieces, we need to divide the length of the wire by the individual length of the pieces.

To get the division done, it would be easier to convert what we have into improper fractions

For the piece of wire, the length which is 4 and 3/8 centimeters long will be 35/8 centimeters

while;

the individual length of each of the piece which is 1 and 2/3 centimeters long will be 5/3 centimeters

The number of pieces is thus 35/8 divided by 5/3 = 35/8 * 3/5 = 21/8 = 2.625 which is approximately 3 pieces

6 0
3 years ago
Y is directly proportional to x.
Brums [2.3K]
If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
3 0
3 years ago
257 whole number,integer number, or rational number
aliya0001 [1]
257 is a whole number, interger, and a rational number.
8 0
2 years ago
Read 2 more answers
The circumference of the circle is 9.42 inches, What is the diameter of the circle?
Elena L [17]

EXPLANATION

Since the circumference of the circle is 9.42, we can get the diameter by applying the following relationship:

Circumference=2\pi r=2\pi\frac{d}{2}=\pi d

Isolating the diameter:

Diameter=\frac{Circumference}{\pi}

Plugging in the numbers:

Diameter=\frac{9.42}{3.14}=3

Therefore, the diameter is equal to 3 inches.

5 0
1 year ago
Other questions:
  • Pentagon ABCDE is shown on the coordinate plane below:
    11·2 answers
  • Division problems to solve for 4th grade
    8·1 answer
  • How do I figure out x in a quadratic equation?
    11·1 answer
  • Find the total surface area of this cone.
    14·1 answer
  • Simplify (right answer only ) : 2(x – 9)
    6·2 answers
  • Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 2
    10·2 answers
  • Determine the number and type of solutions for the equation 3^2 – 10x + 8 = 0
    13·1 answer
  • Estimate the quotient using compatible numbers.<br><br> 3,512 ÷ 9<br><br> 30<br> 400<br> 300<br> 40
    8·1 answer
  • Please help! Will give brainliest (10 points)
    12·2 answers
  • In ΔWXY, W Y ‾ WY is extended through point Y to point Z, m ∠ Y W X = ( 2 x + 12 ) ∘ m∠YWX=(2x+12) ∘ , m ∠ W X Y = ( 2 x + 5 ) ∘
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!