# 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. 👎

## 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)