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
tatuchka [14]
3 years ago
7

Help center of circle

Mathematics
1 answer:
Lelu [443]3 years ago
7 0

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

{x}^{2}  +  {y}^{2}  + 14x - 10y + 65 = 0 \\  {x}^{2}  + 14x +  {y}^{2}  - 10 + 65 = 0 \\ ( {x}^{2}  + 14x +  {7}^{2})  -  {7}^{2}  +  ({y}^{2}  - 10y +  {5}^{2})  \\-  {5}^{2}  + 65 = 0 \\ (x + 7)^{2}  + (y - 5)^{2}  - 49 - 25 + 65 = 0 \\  (x + 7)^{2}  + (y - 5)^{2}  - 49  + 40= 0 \\   (x + 7)^{2}  + (y - 5)^{2}  - 9= 0 \\   (x + 7)^{2}  + (y - 5)^{2}   =  9 \\  (x + 7)^{2}  + (y - 5)^{2}   =   {3}^{2}  \\  equating \: it \: with \: \\ (x  -  h)^{2}  + (y - k)^{2}   =   {r}^{2}  \\  - h = 7 \implies \: h =  - 7 \\  - k =  - 5 \implies \: k = 5 \\ center = ( - h, \:  - k)  = (7, \:  \:  - 5) \\  \\ radius \: r = 3

You might be interested in
Which of the relations given by the following sets of ordered pairs is a function?
adell [148]
Functions cannot have the same X value (the first number), but they can have the same Y value (the second number).
<span>A. {(1,2),(2,3),(3,4),(2,1),(1,0)}
B. {(2,−8),(6,4),(−3,9),(2,0),(−5,3)}
C. {(1,−3),(1,−1),(1,1),(1,3),(1,5)}
D. {(−2,5),(7,5),(−4,0),(3,1),(0,−6)}

Choice A. has two repeating X values [(1,2) and (1,0), (2,3) and (2,1)]
Choice B. has one repeating X value [(2, -8) and (2,0)]
Choice C. all has a repeating X value (1)
Choice D doesn't have any repeating X values.

In short, your answer would be choice D [</span><span>{(−2,5),(7,5),(−4,0),(3,1),(0,−6)}] because it does not have any repeating X values.</span>
8 0
4 years ago
I don’t really understand this
mars1129 [50]
Uhh me neither thats very complicated
7 0
3 years ago
Read 2 more answers
Mr. Kovich is preparing materials for a craft project. He needs to cut 2 meters of string into pieces that are 0.2 meters long.
kondor19780726 [428]

Answer:

10 pieces

Step-by-step explanation:

2 divided by 0.2

20 divided by 2

10 pieces

8 0
3 years ago
300 30 3 0.3 follows what pattern
labwork [276]
Divide 10 each time.

300/10=30
30/10=3
3/10=0.3
0.3/10=0.03
0.03/10=0.003
etc.
3 0
3 years ago
How can you determine if a number is a rational number
Murljashka [212]
Rational numbers can be written as a fraction
7 0
3 years ago
Other questions:
  • 2. On vacation, the Johnson family drives 275 miles per day. How many
    6·1 answer
  • Drew’s work crew put up 45 sections of fencing in a park. Each section was 6 feet long. How many feet of fencing did Drew’s crew
    8·1 answer
  • andrew charges $18 for each lawn he mows. Suppose he mows 17 lawns per month how much money will Andrew make per month
    11·2 answers
  • A bottle of la belle bœuf contains 3/8 ounces of perfume. How many ounces of perfume would 4 1/2 bottles contain?
    10·1 answer
  • Pls help me pls pls pls help me. thanks. ​
    11·2 answers
  • I wants to know please the questión 3
    5·1 answer
  • Which one is correct?
    9·2 answers
  • If no grouping symbols or exponents are in an expression, then do
    14·2 answers
  • What are the slope and the y-intercept of the linear function that is represented by the graph?
    5·2 answers
  • Find the distance between the points.<br><br> (-4,2), (-4,-5)<br><br> The distance is _<br> .
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!