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
saw5 [17]
3 years ago
10

What is the standard form of the equation of the circle x^2 - 2x + y^2 - 8y + 8 = 0?

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Begin by grouping the x terms and the y terms together and separating the constants out.

(x^2-2x)+(y^2-8y)=-8

Now we'll complete the square on those x and y terms. Take half the linear term of each, square it, and add it to both sides. Our linear x term is 2, half of 2 is 1 and 1 squared is 1, so we add that in. Likewise, half the linear y term (which is 8) is 4, and 4 squared is 16, so we add that in, too. Like this:

(x^2-2x+1)+(y^2-8x+16)=-8+1+16

Doing this gives us the perfect square binomials for each of the x and y terms, and then gives us the radius on the right:

(x-1)^2+(y-4)^2=9

This is a circle with a center of (1, 4) and a radius of 3.

You might be interested in
Simplify the expression (8x^3y^2/4a^2b^4)^-2
icang [17]
Simplify the following:
((8 x^3 y^2 a^2 b^4)/4)^(-2)
8/4 = (4×2)/4 = 2:
(2 x^3 y^2 a^2 b^4)^(-2)
Multiply each exponent in 2 x^3 y^2 a^2 b^4 by -2:
(x^(-2×3) y^(-2×2) a^(-2×2) b^(-2×4))/(2^2)
-2×3 = -6:
(x^(-6) y^(-2×2) a^(-2×2) b^(-2×4))/2^2
-2×2 = -4:
(y^(-4) a^(-2×2) b^(-2×4))/(2^2 x^6)
-2×2 = -4:
(a^(-4) b^(-2×4))/(2^2 x^6 y^4)
-2×4 = -8:
b^(-8)/(2^2 x^6 y^4 a^4)
2^2 = 4:
Answer: 1/(4 x^6 y^4 a^4 b^8) thus the answer is A
3 0
3 years ago
Add and simplify: 9/16 + 1/2=?
nasty-shy [4]
1 1/16 is the answer!! Hope this helps! <3 x
4 0
3 years ago
1. Mr. Green works as the art teacher at Hamburg Summer Day Camp. Six hundred
NeTakaya
The amount of percentaile of 600 to 6 is 1%
6 0
3 years ago
What is the area of the semicircle?
Thepotemich [5.8K]
The answer is 56.5 you take pie times the radius squared
4 0
3 years ago
Consider the equation y=-2x+5. Create a table of five ordered pairs that satify the equation. What is the slope of the line repr
tekilochka [14]
Here are 5 ordered pairs (0,5) (1,3) (2,1) (3, -1) (4, -3)
The slope is -2 of c. You always call the y intercept b and the slope m.
4 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of three consecutive numbers is 72. What are the smallest of these numbers?
    6·2 answers
  • 6 yd
    9·2 answers
  • If 3r=18, what is the value of 6r+18 ?
    8·1 answer
  • A circular garden has a diameter of 6 yards what is a area of the garden
    11·1 answer
  • What are the disadvantages of driverless cars? Check all that apply.​
    15·1 answer
  • Simon is buying a sofa for $995. If he makes a down payment of 15% of the selling price, the furniture store will allow him to p
    13·1 answer
  • Can someone help me plz
    12·1 answer
  • Jack has $65 to spend on art supplies. He needs to buy an easel that costs $18. He also wants to buy some canvases that cost $11
    7·2 answers
  • Sarah has $240 and she gives her mum $80 what fraction of the money does Sarah have left give the fraction in its simplest form
    14·2 answers
  • Mr martins math test which is worth 100 points has 29 problems. Each problem is worth either 5 points or 2 points.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!