alg 2

find the foci of the ellipse

(x+5)^2/4+(y-1)^2/16=1

  1. 👍
  2. 👎
  3. 👁
  1. The major axis is the y = 1 line and the semimajor axis length is a = sqrt16 = 4. The minor axis is along the x = -5 line and the semiminor axis length is b = sqrt 4 = 2.

    The center of the ellipse is at x = -5, y = 1. The foci are displaced from that point along the x=-5 line (the major axis) by amounts +/- c = sqrt (a^2 - b^2) = +/- sqrt 21

    Therefore for the two foci are
    x = -5, y = 1 + sqrt21, and
    x = -5, y = 1 - sqrt21

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I am terrible at ellipse The base of an auditorium is in the form of an ellipse 200ft long and 100 ft wide. A pin dropped near one focus can clearly be heard at the other focus. Determine the distance between the foci to the

  2. Calc

    Oscar Corporation is planning to construct an elliptical gate at its headquarters. The width of the ellipse will be 5 feet across and its maximum height along the center will be 3 feet. The company wants to place two bright spots

  3. math

    write an equation in standard form for the ellipse with foci (7,0) and (-7,0) and y intercepts 6 and -6

  4. Math

    Find an equation for the ellipse. center:(3,2) a=3c Foci:(1,2)(5,2) h=3 k=2 I do not know where to start.

  1. math

    Find the vertices, foci and eccentricity of the ellipse.Thank you 9x^2 + y^2 = 81

  2. algebra

    Please help with this problem: An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a

  3. algebra 2

    Graph the equation. Identify the vertices, co-vertices, and foci of the ellipse. 64x^2+16y^2=1024 This is what i have so far vertices (0,8)(0,-8) foci(0,4√3),(0,-4√3)

  4. Math/Algebra

    Find the standard equation of an ellipse with the given characteristics and sketch the graph. Vertices at (0,-5), and (0,5); Foci at (0,-4)and (0,4).

  1. math

    An ellipse and a hyperbola have the same foci, $A$ and $B$, and intersect at four points. The ellipse has major axis 50, and minor axis 40. The hyperbola has conjugate axis of length 20. Let $P$ be a point on both the hyperbola

  2. mathematic

    find the ecentricity and coordinates of foci of the ellipse 16x2 + 9y2= 144

  3. Algebra

    Find an equation of an ellipse satisfying the given conditions: ​Foci: ​(−2​,0) and (2​,​0) Length of major​ axis: 8 Thank you

  4. math

    How do I write an equation for the ellipse with the following: Foci (9,0) &(-9,0) and x-intercepts (15,0) and (-15,0)

You can view more similar questions or ask a new question.