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
Umnica [9.8K]
3 years ago
10

The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y

+ 3) ^ 2 = M
What is the value of M?
Mathematics
1 answer:
storchak [24]3 years ago
3 0

Answer:

author link

ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

You might be interested in
What is the difference between a theorem and a proof
sertanlavr [38]

Answer: it should be C

Step-by-step explanation:

proof is (countable) an effort, process, or operation designed to establish or discover a fact or truth; an act of testing; a test; a trial while theorem is (mathematics) a mathematical statement of some importance that has been proven to be true

5 0
3 years ago
18. El equipo de docentes del Área de Formación Humanística decide repartir 195 ejemplares de libros de lectura a 4 estudiantes
irina [24]

Answer:

Each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Step-by-step explanation:

English Translation

The team of teachers from the Humanistic Training Area decides to distribute 195 copies of reading books to 4 students previously classified on their own merits. But the distribution will be made taking into account absences from classes during the first cycle. How many books does each student receive if their absences have been 1; two; 4 and 5 days, respectively?

Solution

Because the more the number of days absent, the less the number of books each of the 4 students deserve, we have to employ an elaborate scheme.

If 195 copies are distributed equally between 4 People, each person gets 48.75 copies of the books.

Now, if we add another 48.75 copies of books to the total number of books, each person gets 60.9375 books.

But, we can then divide 48.75 extra books on top according to the number of days absent and subtract each person's number from the assumed 60.9375 books, with an extra 48.75 books.

Total number of days absent = 1 + 2 + 4 +5 = 12

(48.75/12) = -4.0625 copies for each absent day.

The student with only 1 absent day gets 60.9375 - 4.0625 = 56.875 copies = 57 copies

The student with 2 absent days, gets = 60.9375 - (2×4.0625) = 52.8125 copies = 53 copies

The student with 4 absent days, gets = 60.9375 - (4×4.0625) = 44.6875 copies = 45 copies

The student with 5 absent days, gets = 60.9375 - (5×4.0625) = 40.425 copies = 40 copies

Hence, each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.

Hope this Helps!!!

6 0
3 years ago
There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder are green. If there are 27 green caps,
3241004551 [841]
\frac{1}{6}x+\frac{1}{3}x+\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=x\\\frac{3}{7}(x-(\frac{1}{6}x+\frac{1}{3}x))=27\\\frac{3}{7}(x-(\frac{1}{2}x))=27\\\frac{3}{7}(\frac{1}{2}x)=27\\x=126

126 caps
5 0
4 years ago
1. Find the slope of the graph.
zimovet [89]

Answer:

slope 1 is 5/3 slope 2 is -2/3 slope 3 is non existent

Step-by-step explanation:

you put rise over run for example in the first the points it crosses is 5 up and 3 to the right so 5/3

3 0
3 years ago
Please help will give brainliest!! thank u
Goshia [24]

9514 1404 393

Answer:

  (c)  162 cm

Step-by-step explanation:

The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.

  RD = 3·54 cm

  RD = 162 cm

5 0
3 years ago
Other questions:
  • Sue likes to be help____ and clean up her table
    8·2 answers
  • Perform the indicated operation.<br> Subtract 2x + 1 from 10x - 2.
    6·2 answers
  • 12.George is a salesperson in a jewelry store and earns $100 per week, plus 10% of his weekly sales. If George makes $425 in one
    6·2 answers
  • What structural decition does a translator make when translating an original text​
    9·1 answer
  • Geoffrey's parents went to a comedy show that started at 8:30 P.M. and lasted 2 hours and 45 minutes. What time did the show end
    14·2 answers
  • Write the equation in slope-intercept form:
    8·1 answer
  • Jack made trail mix that included peanuts and walnuts. He added 3 walnuts for every 5 peanuts in the mix and added a total of 12
    15·1 answer
  • Question 12 of 20 :
    6·1 answer
  • The diagonals of a square bisect the opposite angles.<br><br> Would that statement be True or False?
    14·2 answers
  • 3a+2x-3y=15<br>Solve for a.<br>Then Solve put the value for a =<br>a+7÷10​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!