A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Find the center and the radius of the circle with the given equation.
Problem 1) x^2+y^2+9x8y+4=0
Problem 2) x^2+y^26y=0
 2 years ago
Find the center and the radius of the circle with the given equation. Problem 1) x^2+y^2+9x8y+4=0 Problem 2) x^2+y^26y=0

This Question is Closed

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.2ok we want to put the circles into standard form: (x  a)^2 + (y  b)^2 = r^2 where the center is (a,b) and the radius is r so for #1: x^2 + y^2 + 9x  8y + 4 = 0 x^2 + 9x + y^2  8y = 4 we complete the square for x,y: x^2 + 9x + 81/4 + y^2  8y + 16 = 4 + 81/4 + 16 = 161/4 (x + 9/2)^2 + (y  4)^2 = 161/4 so (a,b) = (9/2, 4) and r = sqrt(161/4) = sqrt(161)/2 for #2: x^2+y^26y=0 x^2 + y^2  6y + 9 = 9 x^2 + (y  3)^2 = 9 so (a,b) = (0,3) and r = sqrt(9) = 3

oldrin.bataku
 2 years ago
Best ResponseYou've already chosen the best response.2err for #1 i meant x^2 + 9x + y^2  8y = 4 so r^2 = 4 + 81/4 + 16 = 81/4 + 12 = 129/4 meaning r = sqrt(129)/2
Ask your own question
Ask a QuestionFind 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.