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  1. Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.

vertex at (-3,0) and co-vertex at (0,2)

Ax^2/9 + y^2/4 = 1
Bx^2/4 + y^2/9 = 1
Cx^2/3 + y^2/2 = 1
Dx^2/2 + y^2/3 = 1

  1. What is the standard form equation of the ellipse with vertices at (0,6) and (0,-6) and co-vertices at (4,0) and (-4,0)?
Ax^2/4 + y^2/6 = 1
Bx^2/16 + y^2/36 = 1
Cx^2/36 + y^2/16 = 1
Dx^2/6 + y^2/4 = 1

  1. An elliptic track has a major axis that is 80 yards long and a minor axis that is 72 yards long. Find an equation for the track if its center is (0,0) and the major axis is the x-axis.
Ax^2/72 + y^2/80 = 1
Bx^2/1296 + y^2/1600 = 1
Cx^2/80 + y^2/72 = 1
Dx^2/1600 + y^2/1296 = 1

Verified Answer :

Cherrycrush

Answer:

a.

b.

d.

The answer for the entire quiz is

a.

b.

a.

d.

a.

yoodyannapolis

1. A , 2.B , 3.D

The standard equation of the ellipse is

\(\frac{x^2}{a^2} +\frac{y^2}{b^2} = 1\)

1.We have vertex at (-3,0) and co-vertex at (0,2)

So equation of ellipse is \(\frac{x^2}{9} +\frac{y^2}{4} = 1\)

2. We have vertices at (0,6) and (0,-6) and co-vertices at (4,0) and (-4,0)

So equation of ellipse is \(\frac{x^2}{16} +\frac{y^2}{36} = 1\)

3. An elliptic track has a major axis that is 80 yards long and a minor axis that is 72 yards long its center is (0,0) and the major axis is the x-axis.

So equation of ellipse is \(\frac{x^2}{1600} +\frac{y^2}{1296} = 1\)

Therefore the correct match for the equations are: 1. A , 2.B , 3.D

Learn more:https://brainly.com/question/16160944

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