Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kcbrosell

  • 3 years ago

Find an equation of the line containing the centers of the two circles x2 + y2 − 4x + 6y + 4 = 0 and x2 + y2 + 6x + 4y + 9 = 0 I have an answer for this 1 but I want to make sure I am right.

  • This Question is Closed
  1. GT
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What are the points of the centers of the circles you have?

  2. MrYantho
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Do you know how to find the centres of the circles? Circle one is (2,-3) I believe

  3. kcbrosell
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The ? I asked is the only thing on the paper so I dont know what the points are

  4. MrYantho
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Oh, you said you had an answer. Would you like me to show you how to find the centres of the circles?

  5. kcbrosell
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes I would, I came up with Neither

  6. MrYantho
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You have to 'complete the square' for both the x terms and y terms. This is because you need the equation in standard form. \[x ^{2}+y ^{2}-4x+6y+4=0\] Gather \[x ^{2}-4x+y ^{2}+6y+4=0\] \[(x ^{2}-4x)+(y ^{2}+6y)+4=0\] Now comes the complete the square part \[(x ^{2}-4x+4-4)+(y ^{2}+6y+9-9)+4=0\] \[(x ^{2}-4x+4)-4+(y ^{2}+6y+9)-9+4=0\] simplify \[(x ^{2}-4x+4)+(y ^{2}+6y+9)-9=0\] Factor our x and y terms \[(x-2)^{2}+(y+3)^{2}=9\] this means the centre of the circle is (2,-3)

  7. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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
  • 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.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.