A community for students.
Here's the question you clicked on:
 0 viewing
julie001
 2 years ago
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?
julie001
 2 years ago
Circle S has an equation of (x – 16)2 + (y + 9)2 = 4. What is the center and radius of circle S?

This Question is Closed

sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1340399424345:dw

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3A circle with center ( a, b ) and radius r has equation given as \[(xa)^2+(yb)^2=r^2\] We are given equation of circle as \[(x – 16)^2 + (y + 9)^2 = 4\] @julie001 Can you compare the two equations to find the center and radius?

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1Center: (16, 9); Radius: 4 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 2 Center: (16, 9); Radius: 4

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3@sugargurl Please explain how did you get the answer?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3@julie001 where you have doubt?

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1comparintg the equations

sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1ANSWER IS THE 2ND CHOICE..:)

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1No sugargurl. Answer is NOT the second choice.

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Work step by step \[(xa)^2=(x16)^2\] so a=16 Now you could find b and r, using the same procedure

sugargurl
 2 years ago
Best ResponseYou've already chosen the best response.1YUO THE ANSWER IS THE 3RD CHOICE THANKS FOR CORRECTING ME @ MERTSJ

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1@ash2326 im still lost

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Did you understand how I found a?

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Yeah, standard equation of a circle is \[(xa)^2+(yb)^2=r^2\] and the equation given in the question is \[(x16)^2+(y+9)^2=4\] We need to find the center (a, b) and radius r. So we compare the two equations \[(xa)^2=(x16)^2\] To make both sides equal a should be 16, so a=16 Now can you find b, by comparing \[(yb)^2=(y+9)^2\]

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1so its Center: (16, 9); Radius: 2

ash2326
 2 years ago
Best ResponseYou've already chosen the best response.3Could you show me your work?

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1There is no work to show. We know that if the equation is written in the form: \[(xh)^2+(yk)^2=r^2\] then the center is (h,k) and the radius is r

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1i just plugged in the numbers with the equation

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1So write the given equation: \[(x16)^2+(y(9))^2=2^2\] and it is immediately obvious that the center is (16,9) and the radius is 2

julie001
 2 years ago
Best ResponseYou've already chosen the best response.1@Mertsj is it Center: (16, 9); Radius: 2

Mertsj
 2 years ago
Best ResponseYou've already chosen the best response.1and it is immediately obvious that the center is (16,9) and the radius is 2
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.