Math

posted by .

write the equation of the circle in standard form. find the center, radius, intercepts, and graph the circle. x^2+y^2-6x-8y+25=36

  • Math -

    x ^ 2 + y ^ 2 - 6 x - 8 y + 25 = 36


    Equation of a circle in standard form :

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


    x ^ 2 + y ^ 2 - 6 x - 8 y + 25 = 36

    x ^ 2 - 6 x + y ^ 2 - 8 y + 25 = 36

    ( x ^ 2 - 6 x ) + ( y ^ 2 - 8 y ) + 25 = 36

    The process involves completing the square separately for the x and y variables.


    ____________________________________


    ( x - 3 ) ^ 2 = x ^ 2 - 2 * x * 3 + 3 ^ 2

    ( x - 3 ) ^ 2 = x ^ 2 - 6 x + 9 Subtract 9 to both sides

    ( x - 3 ) ^ 2 - 9 = x ^ 2 - 6 x + 9 - 9

    ( x - 3 ) ^ 2 - 9 = x ^ 2 - 6 x

    x ^ 2 - 6 x = ( x - 3 ) ^ 2 - 9



    ( y - 4 ) ^ 2 = y ^ 2 - 2 * y * 4 + 4 ^ 2

    ( y - 4 ) ^ 2 = y ^ 2 - 8 y + 16 Subtract 16 to both sides

    ( y - 4 ) ^ 2 - 16 = y ^ 2 - 8 y + 16 -16

    ( y - 4 ) ^ 2 - 16 = y ^ 2 - 8 y

    y ^ 2 - 8 y = ( y - 4 ) ^ 2 - 16

    __________________________


    ( x ^ 2 - 6 x ) + ( y ^ 2 - 8 y ) + 25 = 36

    ( x - 3 ) ^ 2 - 9 + ( y - 4 ) ^ 2 - 16 + 25 = 36

    (x - 3 ) ^ 2 + ( y - 4 ) ^ 2 - 25 + 25 = 36

    ( x - 3 ) ^ 2 + ( y - 4 ) ^ 2 = 36


    ( x - 3 ) ^ 2 + ( y - 4 ) ^ 2 = 6 ^ 2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math(Please check answers)

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts …
  2. Math

    These questions that I have completed are on a test review for my exam and I would just like to know if they are correct. These are only a few of the questions, I have more that are just not complete yet. Thank You! 1) List the intercepts …
  3. College Algebra

    Write the equation of a circle in standard Find the center, radius intercepts and graph the circle. .........x^2+y^2-12x-4y+36=0
  4. college algebra

    write the equation of the circle in standard form find the center radius, intercept and graph circle x^2 +y^2+8x+2y+8=0
  5. college algebra

    Write the equation of the circle in standard form. Find the center, radius and intercepts. x^2 + y^2 + 4x + 2y - 20 = 0
  6. College Algebra

    Write the equation of the circle in standard form. Find the center, radius, intercepts and graph the circle. x^2+y^2+14x+18y=-81
  7. College Algebra

    Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2+16x-18y+145=25
  8. pre calculus

    Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x^2+y^2-12x-4x+36=0 How on earth do I do this?
  9. Algerbra

    Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x2+y2+16x−18y+145=25 Standard form (x-h)^2 +(y-k)^2 k
  10. Algebra

    2. Write the equation of the circle in standard form. Find the center, radius, intercepts, and graph the circle. x2+y2+8x+2y+8=0

More Similar Questions