An ellipse has vertices of (5, 0) and (–5, 0) and covertices of (0, 2) and (0, –2). Use the given information to answer the questions about the ellipse.

On which line will the foci be graphed?


The foci are located at about .

What type of lines will the directrices be?



The directrices are located at about

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Answer:

The line the foci will be graphed is?

y=0

The foci are located at about ?

(4.58, 0) and (-4.58, 0)

What type of lines will the directrices be?

Both vertical

The directrices are located at about?

x= 5.46 and x= -5.46

Step-by-step explanation:

The foci are located at about; (4.58, 0) and (-4.58, 0)

The directrices are located at about; x = 5.46 and x = -5.46

What is the foci and directrix of the ellipse?

We are given;

Vertces of Ellipse; V(5, 0) and V(-5, 0)

Covertices; (0, 2) and (0, -2)

The covertices are the endpoints of the minor axis.

A) The line the foci will be graphed will be; y=0

B) The foci always lies on the major (longest) axis and spaced equally each side of the center. Thus, if the major axis and minor axis are the same length, it means that the figure is a circle and both foci are at the center. Thus, the foci are located at about; (4.58, 0) and (-4.58, 0)

C) Directrices are basically two parallel lines on the outside of an ellipse perpendicular to the major axis. Thus, the type of lines that the directrices will be are; Both vertical

D) The directrices are located at about;

x= 5.46 and x= -5.46

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