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
Karo-lina-s [1.5K]
3 years ago
7

The equation x2 + y2 − 2x + 2y − 1 = 0 is the general form of the equation of a circle. What is the standard form of the equatio

n?
Mathematics
2 answers:
Alla [95]3 years ago
8 0
X^2 + y^2 - 2x + 2y - 1 = 0

(x^2 - 2x) + (y^2 + 2y) - 1 = 0

(x^2 - 2x + 1) + (y^2 + 2y + 1) - 1 - 1 - 1 = 0

(x - 1)^2 + (y + 1)^2 - 3 = 0

(x - 1)^2 + (y + 1)^2 = 3


qaws [65]3 years ago
7 0

Answer:

(x-1)^2+ (y+1)^2=3

Step-by-step explanation:

x^2 + y^2 - 2x + 2y - 1 = 0

Standard form of the equation is (x-h)^2 + (y-k)^2= r^2

To get standard form we apply completing the square method

x^2-2x+ y^2+ 2y - 1 = 0

Take coefficient of x  and y . Divide it by 2 and then square it

\frac{2}{2} =1 and 1^2=1

Add and subtract 1

(x^2-2x)+(y^2+ 2y) - 1 = 0

(x^2-2x+1-1)+(y^2+ 2y+1-1) - 1 = 0

(x^2-2x+1)+(y^2+ 2y+1)-1-1- 1 = 0

(x^2-2x+1)+(y^2+ 2y+1)-3= 0

Now write the parenthesis in square form

(x-1)(x-1)+ (y+1)(y+1)-3= 0

(x-1)^2+ (y+1)^2-3= 0 , add 3 on both sides

(x-1)^2+ (y+1)^2=3 is the standard form

You might be interested in
Find the value of x and y
jonny [76]

The answer is C. The easiest way to find this is by setting the top two angles added together to 180 because they divide a straight line. The just plug the numbers in and you get C

3 0
3 years ago
Read 2 more answers
How many unique triangles can be drawn with given side lengths of 8 inches,10.3 inches,and 13 inches?​
goldfiish [28.3K]

Answer:

3 unique triangles

Step-by-step explanation:

If you use the Triangle Inequality Theorem, it states that the sum of 2 sides of the triangle would equal more than the third side. So three triangles can be made with those side lengths.

3 0
3 years ago
A fenced-in rectangular area has a perimeter of 40 ft. The fence has a post every 5 ft.
sertanlavr [38]
8 post 4ft is the length 2ft ,yes if you dived 5 from 40 that is how many post , then you dived how many posts and that is the  height then you dvide that and that is your width.

7 0
3 years ago
Three of the angles of a polygon are
Liono4ka [1.6K]

Answer:

three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13

4 0
3 years ago
Find each side length,round to the nearest tenth if necessary 11.
vagabundo [1.1K]

We can use a modified form of the Pythagorean Theorem to find the length of  x, also known as side b.

Pythagorean Theorem:

a^2 + b^2 = c^2

We can fill in the values of a^2 and c^2, and then solve for b.

14^2 + b^2 = 25^2

196 + b^2 = 625

Subtract 196 from both sides.

b^2 = 429

√ both sides.

b = 20.7

<h3>The value of x, or b, is equal to 20.7.</h3>
6 0
3 years ago
Other questions:
  • A dvd is marked down 15% the regular price is $12 what is the sale price?
    5·2 answers
  • WILL MARK BRAINLYLIST PLZZ HELP!!
    11·2 answers
  • What is the total measure of an average man brain and heart
    15·1 answer
  • Sara buys 453 grams of strawberry and has 23 grams left.how many did she use
    15·1 answer
  • 3.76+​(y-​1/​2)/​2 need help noww homework
    15·1 answer
  • Choose an equivalent system of equations to the following system:
    9·1 answer
  • Fraction help for math class help. Simplify
    8·2 answers
  • 50% of 320 is equal to 80% of what number?
    7·2 answers
  • What is class boundaries's answer?
    5·1 answer
  • Can somebody help me with my work please????
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!