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
Please help me its due tonight!!!
Bumek [7]

Answer:

The initial cost is $20, and it adds $5per hour

Step-by-step explanation:

Read the graph

3 0
2 years ago
Read 2 more answers
Which is the value of x is in the domain of f(x)=x-8
mrs_skeptik [129]

Answer:

8

Step-by-step explanation:

Solve for x:

x - 8 = 0

Hint: | Isolate terms with x to the left hand side.

Add 8 to both sides:

x + (8 - 8) = 8

Hint: | Look for the difference of two identical terms.

8 - 8 = 0:

Answer: x = 8

8 0
3 years ago
Solve the system of equations. <br> 9x+11y=2 <br> 3x+4y=4
Ronch [10]

Answer:

X= -12 Y=10

Step-by-step explanation:

4 0
2 years ago
A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they
zalisa [80]

Answer:

this is correct on edge

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need help on number 31
koban [17]

Answer:

gh

Step-by-step explanation:


5 0
3 years ago
Other questions:
  • What is the value of x for the given equation? 4 – 2(x + 7) = 3(x + 5)
    5·2 answers
  • What is 18/42 in simplest form
    13·2 answers
  • A toaster oven costing $130 offers an extended warranty for 25% of the purchase price.
    14·1 answer
  • Can u help me with this or I’m going to get in trouble !
    7·1 answer
  • Is it possible to write out the exact value of pi as a decimal? Explain.
    8·2 answers
  • PLz DO it all I will give brainlest and thanks.
    7·1 answer
  • 12%___=2b---Pls Help Me . . .
    15·1 answer
  • What are the coordinates of the point on the directed line segment from (-10, 10)(−10,10) to (-5, 5)(−5,5) that partitions the s
    15·1 answer
  • What is the value of x in triangle PQR below?
    6·1 answer
  • Draw a triangle of sides 6cm,5cm,4cm.and draw an isosceles triangle of the same area
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!