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
Papessa [141]
2 years ago
6

Determine the center and radius of the following circle equation:

Mathematics
1 answer:
UkoKoshka [18]2 years ago
3 0

Answer:

The equation of the circle  <em>(x + 5 )² + ( y + 10 )² = (4)²</em>

<em>Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

                                     x² +10 x +  y² + 20 y +109 =0

  x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

<em>By using formula </em>

<em>(a+b)² = a² + 2 a b + b²</em>

<em>(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0</em>

<em>(x + 5 )² + ( y + 10 )² - 16 = 0</em>

<em>(x + 5 )² + ( y + 10 )² = 16</em>

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle  ( x - h )² + ( y -k)² = r²

<em> Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

<u><em>Conclusion</em></u><em>:-</em>

The equation of the circle  <em>(x + 5 )² + ( y + 10 )² = (4)²</em>

<em>Center of the circle ( h, k) = ( -5 , -10)</em>

<em>Radius of the circle     ' r' = 4</em>

<em></em>

You might be interested in
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete
Alja [10]

Answer:

4.4 feet.

Step-by-step explanation:

Just subtract the lower from the higher jump.

28.65 - 24.25

= 4.4 feet.

5 0
3 years ago
In the activity, Heavy Flying, we looked at constraints for transporting packages from Careful Calculators and Charlie's
Gala2k [10]

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

5 0
2 years ago
Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate
Akimi4 [234]

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

--------------------

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

-------------------- = 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

5 0
3 years ago
2| x-3| - 5 = 7 Helpp
klasskru [66]

Answer:

x = {9, -3}

Step-by-step explanation:

  • 2| x-3| - 5 = 7
  • 2| x-3|  = 12
  • | x-3| = 6
  • x - 3 = ± 6
  • ⇒ x= 3+ 6= 9
  • ⇒ x= 3 - 6= -3

Or it can be shown as:

  • x= {9, -3}

8 0
3 years ago
Read 2 more answers
Mix coffee machine has been so self or $.72 a pound and beans that sell for $.52 if 110 pounds of beans create and make sure wor
LiRa [457]
$57.2 dollars for 110 pounds of beans 
3 0
3 years ago
Other questions:
  • Factor completely: 8m3 − 12m2 + 4m
    6·1 answer
  • Tirzah wants to put a fence around her garden. She has 22 yards Of fence material. Does she have enough to go all the way around
    13·1 answer
  • How much does cell phone weigh
    13·2 answers
  • This is a math question if you are good this is good for you this is hard
    10·1 answer
  • average age of 15 students of iub 11years if teacher is also included average age becomes 13 years how old is teachers
    6·1 answer
  • If the cost is $250 each day. How much do I pay at 6 days and 2 nights?
    15·2 answers
  • Jimmy is trying to factor the quadratic equation $ax^2 + bx + c = 0.$ He assumes that it will factor in the form \[ax^2 + bx + c
    9·2 answers
  • O
    14·1 answer
  • Whats the answer for -2x+11+6x ?
    9·1 answer
  • This graph represents the relationship between x and y what is the equation showing the relationship between x and y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!