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
astraxan [27]
3 years ago
15

What is the center of the equation X^2+y^2-4x-8y-16=0

Mathematics
1 answer:
Mice21 [21]3 years ago
6 0
                                            x² + y² - 4x - 8y - 16 = 0
                                                                      + 16 + 16
                                                   x² + y² - 4x - 8y = 16
                                                   x² - 4x + y² - 8y = 16
                                  (x² - 4x + 4) + (y² - 8y + 16) = 16 + 4 + 16
                   (x² - 2x - 2x + 4) + (y² - 4y - 4y + 16) = 20 + 16
[x(x) - x(2) - 2(x) - 2(-2)] + [y(y) - y(4) - 4(y) - 4(4)] = 36
                 [x(x - 2) - 2(x - 2)] + [y(y - 4) - 4(y - 4)] = 36
                                   (x - 2)(x - 2) + (y - 4)(y - 4) = 36
                                                  (x - 2)² + (y - 4)² = 36
                                                    36           36        36
                                          ¹/₃₆(x - 2)² + ¹/₃₆(y - 4)² = 1
Center: (2, 4)
You might be interested in
Carmen used a random number generator to simulate a survey of how many children live in the households in her town. There
Phantasy [73]

Answer: 296

Step-by-step explanation:

Unique addresses (population size) = 1,346

Sample size = 50

Number of children - - - - - - - No of household

0 - - - - 5

1 - - - - 11

2 - - - -13

3 - - - - 10

4 - - - - 9

5 - - - - 2

Number of households with more than 3 children :

That is, households with 4 and 5 children

Total = 9 + 2 = 11 households

Therefore, proportion of households with more than 3 children :

(11 / sample size) × population size

(11 /50) × 1346 = 296.12

Approximately 296 households

4 0
4 years ago
Read 2 more answers
A student walked 100 meters north, then 100 meters west. how many more meters did the student walk compared to their total displ
seraphim [82]

Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.

If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).

Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.

c^2 = a^2 + b^2

where c is the total displacement from the starting point to the end point

a is the distance he walks up north

b is the distance he walks to the west

c^2 = 100^2 + 100^2

c^2 = 10,000 + 10,000

c^2 = 20,000

c = 141.42 meters

Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.

100 meters + 100 meters - 141.42 meters = 53.58 meters

Learn more about Pythagorean Theorem here: brainly.com/question/343682

#SPJ4

4 0
1 year ago
The tunnel of fear ride climbs straight up to its peak 50 meters above the ground. Then, it drops 65 meters into an underground
Maurinko [17]

Answer:

-15 meters

Step-by-step explanation:

The tunnel of fear starts at 0 meters, goes up to 50 meters, then drops 65 meters. This expressed as an equation is:

(0+50)-65=x

50-65=x

-15=x

8 0
4 years ago
What are the variables equal to and how to solve?
Darya [45]
This how you answer these questions. Try Answering the other 4. you Should get

2a. X=10.9
2b. C=47/5 or 9.4
3a. X=32.6
3b. X=55.7

I hope these helped

7 0
3 years ago
HIII PLEASE HELP LOL IM TRYING HARD
Kisachek [45]

Answer:

(4,6)

is the missing pair.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Solving for Y. Write the slope-intercept form of the equation of each line. Show work!
    10·1 answer
  • A middle school has a speech club with a total of 18 students. The ratio of girls to boys is 4:5. How many girls are in the spee
    6·1 answer
  • Express each ratio as a fraction in simplest form. Hint: 1 yard = 3 feet.<br><br> 9 yards to 48 feet
    13·1 answer
  • (7•7•7•7•7)•6•6•6•6•6•6. Write your answer using a exponent.
    9·2 answers
  • Which two numbers add up to 6 and multiply to -40
    8·1 answer
  • What fraction is <br><br>4 hours of a day<br><br>45 mins of an hour<br><br>240cm3 of a litre​
    6·1 answer
  • Enter the value of p so the expression 5/6 - 1/3n is equivalent to p(5-2n)
    5·1 answer
  • Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sews at a constant rate. At this rate, how many dresses does Lu
    8·1 answer
  • Can some on help me please
    6·1 answer
  • What would be the future value of 19,378 invested now if the money remains deposited for eight years and the interest rate is 18
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!