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Shalnov [3]
3 years ago
11

An ellipse has a vertex at (14, –1). The focus of the ellipse nearest that vertex is located at (8, –1). If the center of the el

lipse is located at (–1, –1), what is the equation of the directrix on that side of the ellipse?
x =

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0
The answer is 24, I just did the assignment...

you're welcome!
zavuch27 [327]3 years ago
6 0
Refer to the diagram shown below.

The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15

The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.

The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.

Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5

Answer: x = -27/5

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