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wariber [46]
3 years ago
8

A parabola can be drawn given a focus of (−4,−10) and a directrix of y=−4. What can be said about the parabola?

Mathematics
1 answer:
ANEK [815]3 years ago
6 0

Answer:

The answer to your question is: Yes a parabola can be drawn if we know the focus and the directrix.

Step-by-step explanation:

We can say that it is a vertical parabola that opens downwards.

We conclude that if we graph both the focus and the directrix. Also if we continue the process we can find the vertex (-4, -7) and p = 3.

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By inscribed angle theorem:

m\angle 1= \frac {1}{2} \times 3x\\\\\therefore m\angle 1= \frac {1}{2} \times 120°\\\\\huge \red {\boxed {\therefore m\angle 1= 60°}}

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m\angle 2 = \frac {1}{2} \times 3x\\\\\therefore m\angle 2 = \frac {1}{2} \times 120°\\\\\huge \purple {\boxed {\therefore m\angle 2 = 60°}}

Since, measure of central angle is equal to the measure of its corresponding minor arc.

m\angle 3 = 3x\\\\\huge \pink {\boxed {\therefore m\angle 3 = 120°}}

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<u></u>

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