Algebra

Write an equation for an ellipse if the endpoints of the major axis are at (-8,1) and (8,1) and the endpoints of the minor axis are at (0,-1) and (0,3).

d= sqrt(x2-x1)^2 +(y1-y2)^2
d= sqrt(8--8)^2 + (1-1)^2
d= sqrt 16 + 0
d= sqrt 256
d= 16

1. 👍
2. 👎
3. 👁
1. Is d=16 supposed to be an equation? Or
d= sqrt(x2-x1)^2 +(y1-y2)^2 ?
Neither are correct.

The general equation of an ellipse, centered at the origin, is
(x/a)^2 + (y/b)^2 = 0
In this equation, a is 1/2 of the major axis and b is 1/2 of the minor axis, assuming the long axis is horizontal, as it is here.
In this case, the major axis is along y = 1 and the minor axis is along x=0. For this situation, the equation must be rewritten
(x/a)^2 + (y-1)/b^2 = 0
where a = 8 and b = 2
Thus x^2/64 + (y-1)^2/4 = 0
Verify by plugging in your given endpoints. When y=1, x = +/-8 etc.

1. 👍
2. 👎

Similar Questions

1. math

If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the waves will converge at the location of the other focus. If the pond has a major axis of 68 feet and a minor axis of 32 feet, how far

2. Algebra2

How far apart are the foci of an ellipse with a major axis of 34 feet and a minor axis of 16 feet? a-15 b-12 c-9 d-30 my answer is 9

3. math

An arch is in the form of a semi-ellipse, with its major axis as the span. If the span is 80 feet and the height is 30 feet write the standard equation.

4. Calculus

Write equation of the hyperbola which satisfies the given conditions: A.) C(0,0) transverse axis along the x-axis, a focus at (5,0) transverse axis=6. B.) C(1,-2) transverse axis parallel to the x-axis, transverse axis 6,

1. Pre-Calculus

Find the equation in standard form for the hyperbola that satisfies the given conditions: transverse axis has endpoints (5,3) and (-7, 3) and conjugate axis has a length of 10. I found the distance of the transverse axis to be 12.

2. algebra

How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?

3. geometry

The area of an ellipse in the form (x*x/a*a)+(y*y)/(b*b)=1 is A=3.14*ab. For this ellipse, a+b=20. a. write the area of the ellipse as a function of a. b. Find the equation of the ellipse with an area of 264 square centimeters. c.

4. algebra

Skip designs tracks for amusement parks. For a new design the track will be ellipitical if the ellipse is placed on a large coordinate grid with its center at (0,0) the equation x^2/2500+y^2/8100=1 model the path of the park.The

1. Math

Find an equation in standard form for the ellipse that satisfies the given condition with major axis endpoints (1,-4) and (1,8), minor axis length 8.

2. PreCalculas

1.Write the equation of the conic section with the given properties: A hyperbola with vertices(0,6)(0,-6)and asymptotes y=3/4x and y=-3/4x. 2.Write the equation of the conic section with the given properties: An ellipse with

3. PreCalc

Find the standard form of the equation of the ellipse with the following characteristics. foci: (+/-5, 0) major axis of length: 22

4. analytic geometry

1. Given the parabola defined by y^2 =-12x, find the coordinates of the focus,the length of the latus rectum and the coordinates of its endpoints.Find also the equation of the directrix. Sketch the curve. 2. Find the eccentricity