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
pychu [463]
3 years ago
12

Identify the center and radius from the equation of the circle given below. x^2+y^2+121-20y=-10x

Mathematics
2 answers:
nadya68 [22]3 years ago
7 0

Answer:

Step-by-step explanation:

x²+y²+121-20y=-10x

(x²+10x)+(y²-20y)+121=0

(x²+10x+25)-25+(y²-20y+100)-100+121=0

(x+5)² + (y-10)²= 2²

the center is : A(-5;10)  and radius : r = 2

Tcecarenko [31]3 years ago
6 0

Answer:

Center: (-5,10)

Radius: 2

Step-by-step explanation:

The equation of the circle in center-radius form is:

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

Where the point (h,k)  is the center of the circle and "r" is the radius.

Subtract 121 from both sides of the equation:

x^2+y^2+121-20y-121=-10x-121\\x^2+y^2-20y=-10x-121

Add 10x to both sides:

x^2+y^2-20y+10x=-10x-121+10x\\x^2+y^2-20y+10x=-121

Make two groups for variable "x" and variable "y":

(x^2+10x)+(y^2-20y)=-121

Complete the square:

Add (\frac{10}{2})^2=5^2 inside the parentheses of "x".

Add  (\frac{20}{2})^2=10^2  inside the parentheses of "y".

Add 5^2 and 10^2 to the right side of the equation.

Then:

(x^2+10x+5^2)+(y^2-20y+10^2)=-121+5^2+10^2\\(x^2+10x+5^2)+(y^2-20y+10^2)=4

Rewriting, you get that the equation of the circle in center-radius form is:

 (x+5)^2+(y-10)^2=2^2

You can observe that the radius of the circle is:

r=2

And the center is:

(h,k)=(-5,10)

You might be interested in
11. Caroline wraps packages at a store. She wraps
Eddi Din [679]

Answer:

<em>C. in five hours Caroline wraps an odd number of packages</em>

Step-by-step explanation:

<em>for</em><em> A until hours you would multiply 2 by 9 and 2 by 9 is 18 and that's an even number so it's not A.</em>

A eliminated.

for B in 3 hours 3 by 9 is 27 and that's an odd number so B is automatically eliminated.

<em>for C in 5 hours all you would do is multiply the 9 by 5 and 9 by 5 is 45 and 45 is indeed an odd number so C is your answer.</em>

<em>for D 7 by 9 is 63 and 63 is an odd number so we already know that C is the answer but still we got to check and D is wrong because 63 is not an even number.</em>

8 0
3 years ago
Based on the following rule for translations, how will the preimage translate to get the image? (x,y) = (x, y - 3) *​
mr_godi [17]
The preimage will be translated down by 3 units.
8 0
3 years ago
2|4x-1|=38 I need to solve this
umka21 [38]
First you have to have the absolute value isolated so the 2 has to be divided. Then set up the two cases and solve.

5 0
3 years ago
1.) If P = 2l + 2w, the formula to find w is _____
Elis [28]
I hope this helps you

7 0
3 years ago
Read 2 more answers
A group of 8 friends (5 girls and 3 boys) plans to watch a movie, but they have only 5 tickets. How many different combinations
blondinia [14]
B is your correct answer
3 0
3 years ago
Other questions:
  • James filled 4 glasses with milk. Patrick filled 6 glasses with milk. Each glass held 8 ounces of milk. Which method explains a
    15·1 answer
  • Each batch of cookies requires 1 3/5 cups of butter. If Amanda has 8 cups of butter, how many batches of cookies can she bake
    6·1 answer
  • Pls answer its really easy proportions
    15·1 answer
  • Convert 7/11 to a percent. round the answer to the nearest hundredth
    13·1 answer
  • In the game of​ roulette, a player can place a ​$5 bet on the number 11 and have a startfraction 1 over 38 endfraction probabili
    10·1 answer
  • A farmer packs 12 apples in each box.If the farmer has 4272 apples,how many boxes does she needs?
    9·2 answers
  • Identify the points which of the following coordinate pairs make the equation x - 9y = 12 true?
    12·1 answer
  • 4+5(p-1) =34 solve it fast <br>​
    10·1 answer
  • the coordinates of the endpoints of BC are B(3,2) and C(8,17). Point D is on BC and divides it such that BD:CD is 3:2. What are
    13·1 answer
  • Solve the system of equations 4x + 3y = 3 and y = 2x + 6.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!