230k views
4 votes
Write an equation in standard form of the ellipse that is 16 units high and 10 units wide. The center of theellipse is (0,0).+31= 1

Write an equation in standard form of the ellipse that is 16 units high and 10 units-example-1

1 Answer

6 votes

Answer:

x²/25 +y²/64 = 1

Explanation:

You want the standard form equation of an ellipse 16 units high and 10 units wide, centered at the origin.

Ellipse

The standard-form equation of an ellipse centered at the origin is ...

x²/a² +y²/b² = 1

where 'a' and 'b' are the lengths of the semi-axes in the x- and y-directions, respectively.

Application

If the ellipse is 10 units wide, its axis in the x-direction is 10, so half that length is a = 10/2 = 5.

If the ellipse is 16 units high, its axis in the y-direction is 16, so half that length is b = 16/2 = 8.

The equation is ...

x²/5² +y²/8² = 1

x²/25 +y²/64 = 1

<95141404393>

Write an equation in standard form of the ellipse that is 16 units high and 10 units-example-1
User WBC
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories