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makvit [3.9K]
3 years ago
14

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0
Since y is the suqraed term, it opens left or right
in this form it is
(y-k)²=4p(x-h)

(h,k) is the vertex
if p is negative then it opens to the left and directix is to the right of the vertex
if p is positve then it opens to the right and directix is to the left of the vertex
p is the distance from vertex to directix


so
(y-0)²=4(-6)(x-0)
the vertex is (0,0)
-6 is negative
so
vertex is (0,0)
directix is 6 unts to the right of (0,0) or at x=6

the directix is x=6
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C=<span>37.6991118431
</span>
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C=2π6

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That's the arc length of the whole circle, i.e. the arc length of 360°.

65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.68 is 
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Answer: 6.80 inches.
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