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
schepotkina [342]
3 years ago
5

Identify the center and radius of each. x^+y^+24x-18y+200=0

Mathematics
2 answers:
kvv77 [185]3 years ago
6 0

Answer:

The centre is at (-12, 9) and the radius = 5 units.

Step-by-step explanation:

x^2 + y^2 + 24x - 18y + 200 = 0

x^2 + 24x + y^2 - 18y = -200

Completing the square on the x and y terms:

(x + 12)^2 - 144 + (y - 9)^2 - 81 = -200

(x + 12)^2 + (y - 9)^2 = -200 + 144 + 81

(x + 12)^2 + (y - 9)^2 = 25

So the centre is at (-12, 9) and the radius = the square root of 25 = 5.

nikklg [1K]3 years ago
3 0

Answer:

centre = (- 12, 9), radius = 5

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 24x - 18y + 200 = 0

Collect the terms in x/ y together and subtract 200 from both sides

x² + 24x + y² - 18y = - 200

Using the method of completing the square

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(12)x + 144 + y² + 2(- 9)y + 81 = - 200 + 144 + 81

(x + 12)² + (y - 9)² = 25 ← in standard form

with centre (- 12, 9) and r = \sqrt{25} = 5

You might be interested in
Find the squares of (y+3) ​
emmasim [6.3K]

Answer:

Since we know that

(a+b)

2

=a

2

+2ab+b

2

(a−b)

2

=a

2

−2ab+b

2

Now,

(i)

(x+3y)

2

=x

2

+2×x×3y+(3y)

2

=x

2

+6xy+9y

2

(ii)

(2x−5y)

2

=(2x)

2

−2×2x×5y+(5y)

2

=4x

2

−20xy+25y

2

(iii)

(a+

5a

1

)

2

=a

2

+2×a×

2a

1

+(

2a

1

)

2

=a

2

+1+

4a

2

1

(iv)

(2a−1a)=(1a)

2

(1a)

2

=1a

2

Answer

8 0
2 years ago
The sum of three consecutive integers is 267. What is the largest integer?
Stella [2.4K]

Answer:

let integers be x,2x, 3x respectively

x+2x+3x= 267

6x= 267

x=267/6= 44.5

2x= 44.5*2= 89

3x= 44.5*3= 133.5

largest integer = 133.5

hope it helps

plz mark as brainliest

5 0
3 years ago
Help me out please! Explain the difference between equilateral and equiangular :) ​
Leviafan [203]

Answer:

Regular Polygons

Polygons can also be classified as equilateral, equiangular, or both. Equilateral polygons have congruent sides, like a rhombus. Equiangular polygons have congruent interior angles, like a rectangle. When a polygon is both equilateral and equiangular, it is called a regular polygon.

6 0
3 years ago
Read 2 more answers
Which of the following properties does not work for addition?
Simora [160]

Answer:

I believe it is Identity

3 0
2 years ago
Read 2 more answers
One less than half a number is 12. What is the number
olga_2 [115]
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12

Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
6 0
2 years ago
Other questions:
  • What Is the value of 8÷1/5
    6·1 answer
  • Where are most of the rainforests found?
    9·1 answer
  • Which is the correct way to write $450.05 in words on a check?
    15·2 answers
  • what is the length of the earthworm to the nearest inch 1/4 A. inches B. 1/2 inches C. 3/4 inches D.3 inches
    7·1 answer
  • ( ͡° ͜ʖ ͡°) HELP ME OUT M8
    6·2 answers
  • The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in
    7·1 answer
  • A kite is flying 10 ft. in the air. The angle of<br> elevation is 20°. How long is the kite string?
    9·1 answer
  • Given the expression: 6x10 − 96x2
    13·1 answer
  • 10.
    12·1 answer
  • What is the total volume of both storage spaces if one side of the large storage space is 4 feet long?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!