Ask Question
8 November, 01:07

By completing the square in x and y, find the center and radius of the circle.

X^2+y^2+6x-4y=23

+5
Answers (1)
  1. 8 November, 04:44
    0
    Center (-3, 2) radius = 6

    Step-by-step explanation:

    x^2 + y^2 + 6x - 4y = 23

    x^2 + 6x + y^2 - 4y = 23

    x^2 + 6x + (9) + y^2 - 4y = 23 + (9)

    (x + 3) ^2 + y^2 - 4y = 23 + (9)

    (x + 3) ^2 + y^2 - 4y + (4) = 23 + (9) + (4)

    (x + 3) ^2 + (y - 2) ^2 = 23 + (9) + (4)

    (x + 3) ^2 + (y - 2) ^2 = 36

    (x + 3) ^2 + (y - 2) ^2 = 6^2

    Center is at (-3, 2)

    ... mysticchacha dot com

    Radius = 6

    From using formula (x - h) ^2 + (y - k) ^2 = r^2

    where (h, k) = center and r = radius
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “By completing the square in x and y, find the center and radius of the circle. X^2+y^2+6x-4y=23 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers