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
qaws [65]
3 years ago
15

1. The beginning steps for determining the center and radius of a circle using the completing the square method are shown below:

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0

Answer : (x^2 - 6x + 9) + (y^2- 4y + 4) = 3 + (9 + 4)

Center is (-3,3) and radius = 4

(x + 4)^2 + (y - 3)^2 = 6^2

(1) Step 1: x^2 - 6x + y^2 - 4y = 3

Step 2: (x^2- 6x) + (y^2 - 4y) = 3

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

The coefficient of x is -6. \frac{-6}{2} = (-3)^2 = 9

The coefficient of y is -4. \frac{-4}{2} = (-2)^2 = 4

Step : (x^2- 6x + 9) + (y^2 - 4y + 4) = 3 +9 + 4

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

To find center and radius we write the equation in the form of

(x-h)^2 + (y-k)^2 = r^2 using completing the square form

Where (h,k) is the center and 'r' is the radius

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

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

In completing the square method we take coefficient of x and divide by 2 and the square it . Then add it on both sides

(x^2 +  6x + 9) +  (y^2  - 6y + 9)  = -2 + 9 + 9

(x + 3)^2 +  (x - 3)^2 = 16

Here h= -3 and k=3 and r^2 = 16 so r= 4

Center is (-3,3) and radius = 4

(c) Step 1: x^2 + 8x + y^2 -  6y = 11

Step 2: (x^2 + 8x) + (y^2 -  6y) = 11

Step 3: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 11 + (16 + 9)

Step 4: (x^2 + 8x + 16) + (y^2 - 6y + 9) = 36

We factor out each quadratic

(x^2 + 8x + 16) = (x+4)(x+4) = (x+4)^2

((y^2 - 6y + 9)) = (x-3)(x-3) = (x-3)^2

Step 5 :(x + 4)^2 + (y - 3)^2 = 6^2

You might be interested in
2. A coat costs 3 times as much
djverab [1.8K]
135 is the answer because ^ they said it
5 0
3 years ago
The inhabitants of the island of jumble use the standard kobish alphabet ($20$ letters, a through t). each word in their languag
rjkz [21]
We know that

<span>1. The number of all 4-letter words written using the alphabet of 20 symbols (from A to T) is 
20</span><span>^4=160,000
</span><span>
 2. The number of all 4-letter words written using the alphabet of 19 symbols (from B to T) is 
19</span><span>^4=130,321
</span><span>
 3. The difference represents exactly the number of all words of the inhabitants of the island of Jumble
difference=</span>(160,000-130,321)= 29679.

the answer is
29679
7 0
3 years ago
Please someone help and explain them to me. im confused
Irina18 [472]

<u>is there a way i can draw on it to help explain it?</u>

8 0
3 years ago
A ladder that is 22 feet long is propped up against a 15-foot-tall building. Use the drop downs to answer the following question
Veseljchak [2.6K]

Answer:

the answer is 42. just took the apex test.!!!!!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Bismuth-214 has a half-life (50%) of approximately 20 minutes. Find the amount of Bismuth-214 left
ivolga24 [154]
La verdad no se la respuesta perdón
8 0
3 years ago
Read 2 more answers
Other questions:
  • Factor n 3 - n 2 + 3n - 3.
    15·2 answers
  • 14 times 2/7 the answer is simplified
    8·1 answer
  • Find an equation of the tangent line to the curve at the given point. y = ln(x2 ? 7x + 1), (7, 0)
    5·1 answer
  • If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) what is the second endpoint of the line segment
    15·1 answer
  • The volume of a sphere is 904.32 cm3, find its radius and hence its curved surface area​
    5·1 answer
  • 1.678 rounded to the nearest hundredth​
    7·2 answers
  • air pressure may be represented as a function of height (in meters) above the surface of the earth, as shown below.
    5·1 answer
  • Easy 25 points answer soon please
    11·1 answer
  • The mean midday temperature recorded in June in a city in South California is 36ºC, and the standard deviation is 3ºC. The numbe
    11·2 answers
  • Judith’s parents invest money into a bank account to save up for college. The formula () = ,(.) can be used to find out how much
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!