Post a New Question

Ellipses Part 2:)

posted by .

4x^2+y^2-48x-4y+48=0 what is the distance from c to foci of this equation
The center is (6,2)
major is 10 i think
and minor is 5 but they might be wrong

  • Ellipses Part 2:) -

    4x^2+y^2-48x-4y+48=0
    4(x^2 - 12x) + (y^2 - 4y) = -48
    4(x^2 - 12x + 36) + (y^2 - 4y + 4) = -48 + 144 + 4
    4(x-6)^2 + (y-2)^2 = 100

    (x-6)^2/25 + (y-2)^2/100 = 1

    You are correct, although
    semi-major is 10
    semi-minor is 5

    c^2 = 100 - 25
    c = sqrt(75) = 5*sqrt(3)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pre-calculus

    Hi I have this question regarding ellipses. the equation is.. x^2/25 + y^2/169= 1 it asks for major and minor axis (i got 10 and 26) x-intercept y-intercept ((5,0)(0,13)) foci (-12,0) points of intersection with line y= 1-2x graph …
  2. ellipses

    If the major axis is vertical and has a length of 10 units,the minor axis has a length of 8 units,and the center C=(4,-2).Fill in the missing denominators for the equation and determine the distance from C to the foci (c).
  3. ellipses

    8x^2+y^2+80x-6y+193=0 Find the center (which i think is (-5,3) Find the major axis Find the minor axis && find the distance from C to foci
  4. Ellipses:)

    Given the ellipse with foci at (5,3) and (5,-5) and a major axis length of 12, determine the center using ( , ) and the denominators of the equation Center(x )^2/?
  5. ellipses

    Given an ellipse; 3x^2+5y^2-12x-50y+62=0, find the Center, Major Axis, Minor Axis, & the distance from C to Foci?
  6. ellipses

    Given an ellipse; 3x^2+5y^2-12x-50y+62=0, find the Center, the Major Axis, the Minor Axis, & the distance from C to Foci?
  7. Ellipses

    Given an ellipse; 8x^2+y^2+80x-6y+193=0, find center, major axis, minor axis, & distance from c to foci?
  8. ellipses

    given an ellipse; 2x^2+6y^2+32x-48y+212=0, find center, major axis, minor axis & distance from c to foci?
  9. Ellipses

    Given an ellipse; 4x^2+y^2-48x-4y+48=0, find the Center, find the Major Axis, find the Minor Axis & the Distance from C to Foci?
  10. precalc

    Find the standard form equation for each ellipse described. 1) Major vertices at (0, 3) and (0, -3), minor vertices at (2, 0) and (-2, 0) 2) Major vertices at (7, 0) and (-7, 0), foci at (5, 0) and (-5, 0) 3) Minor vertices at (-2, …

More Similar Questions

Post a New Question