Math

posted by .

A circle has the equation
x^2+y^2+6x-46=0
graph using (h,k) radius r
A) how do i graph this properly
B) intercept are?

  • Math -

    x ^ 2 + y ^ 2 + 6 x - 46 = 0

    x ^ 2 + y ^ 2 + 6 x = 46

    ( x ^ 2 + 6 x + 9 ) + y ^ 2 = 46 + 9

    ( x + 3 ) ^ 2 + y ^ 2 = 55


    The circle equation is:

    (x - a ) ^ 2 + ( y - b ) ^ 2 = r ^ 2

    where a and b are the x and y coordinates of the center of the circle.

    In this case :

    a = - 3

    becouse :

    x + 3 = x - ( - 3 )

    b = 0

    Coordinates of the center of the circle :

    ( - 3 , 0 )

    Radius r = sqrt ( 55 )

    becouse :

    sqrt ( 55 ) ^ 2 = 55


    y intercept = points when x = 0

    In this case :

    ( 0 + 3 ) ^ 2 + y ^ 2 = 55

    9 + y ^ 2 = 55

    y ^ 2 = 55 - 9 = 46

    y ^ 2 = 465

    y = + OR - sqrt ( 46 )

    Coordinates of y intercepts :

    0 , - sqrt ( 46 )

    and

    0 , - sqrt ( 46 )


    x intercept = points when y = 0

    In this case :

    ( x + 3 ) ^ 2 + 0 ^ 2 = 55

    ( x + 3 ) ^ 2 = 55

    x + 3 = + OR - sqrt ( 55 )

    x = + OR - sqrt ( 55 ) - 3

    Coordinates of x intercepts :

    - sqrt ( 55 ) - 3 , 0

    and

    sqrt ( 55 ) - 3 , 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math algebra

    im not good with fractions when you have to graph them ........ graph the equation using the slope and the y-intercept. Y=5/3x+7
  2. Algebra

    Question 1 Solve using the multiplication principle then graph. -15>-75 Question 2 Translate to an equality. Use the variable x. The number of people in the chess clubi less than or equal to 15. Question 3 Solve using the addition …
  3. Algebra

    graph the equation x-3=y (where do I plot the points?
  4. algebra

    Graph the following equation: clculte the slope, x-intercept, and y-intercept, and label the the intercelts on the graph. problem: Find an equationin slope-intercept form passing through the points (2,5) and ( 7,-3). (2+5)/(7+ -3) …
  5. math

    how to graph this y=6x+20 Graph the y-intercept. Show the lines that indicate the use of slope to graph two more points Draw the line representing the graph of the equation
  6. College Algebra

    1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the graph of y = |x| by which transformations?
  7. Math

    A circle has the equation x^2+y^2+6x-46=0 graph using (h,k) radius r A) how do i graph this properly B) intercept are?
  8. college algebra

    A circle has the equation x^2+y^2+6x-46=0 graph using (h,k) radius r what are the intercept?
  9. 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
  10. Algebra

    You want to make a graph to show how you spend your time each day. What is an advantage of choosing a circle graph for this data?

More Similar Questions