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
PilotLPTM [1.2K]
3 years ago
11

Write the equation of circle b with center B(-2,3) that passes through (1,2)

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

(x+2)^2 + (y-3)^2 = 10

Step-by-step explanation:

The standard equation for circle is

(x-a)^2 + (y-b)^2 = r^2

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

(x-a)^2 + (y-b)^2 = r^2    \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2  \\=>(x+2)^2 + (y-3)^2 = r^2    (1)

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

\\=>(x+2)^2 + (y-3)^2 = r^2    \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=>  r^2  = 10\\

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is =>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10

You might be interested in
Solve using the elimination method.
densk [106]
Sorry I dont know this answer
7 0
3 years ago
Read 2 more answers
All of the following expressions have the same value except _____.
Mariana [72]
All of them have the same answer of -8 except the last one.
4 0
3 years ago
Read 2 more answers
4(4t=(4x4) blank/ answer blank t answer
larisa [96]

Answer:

the answer is 20

Step-by-step explanation:

The answer is 20. The rule of math, for this math problem, is that you do the multiplication first and then solve. Order of operations is "PEMDAS," which explained is by following these rules: Parentheses First.

8 0
2 years ago
Read 2 more answers
A store owner paid $8.20 each for shirts and sold them for $20.50 each. what was the percent markup?
Ad libitum [116K]

There is a 150% increase.

Work is attached in the image provided.

5 0
3 years ago
Can anyone help me with this please and ty I really appreciate it if u can
Anarel [89]
Your riiiiiiiiiiuiuuiii
8 0
2 years ago
Other questions:
  • Round 590,340 to the nearest hubdred thousand
    15·2 answers
  • Suppose the primes p and q used in the rsa algorithm are consecutive primes. how would you factor n
    6·1 answer
  • Gene paid $171 to keep his dog at the kennel for 12 days. What was the unit rate, r, per day to keep the dog at the kennel?
    9·1 answer
  • What is 5+5 guys i need help
    11·2 answers
  • Complete the proof of the polynomial identity. *help please draw a line from the correct answer to the correct blank*
    15·1 answer
  • Find AC..................
    11·1 answer
  • Please help me with this math
    5·1 answer
  • How much is a square mile
    13·1 answer
  • PLEASE HELP IM STUCK
    11·1 answer
  • Select all correct answers.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!