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erma4kov [3.2K]
2 years ago
9

Find the equation of the parabola whose vertex is the origin and whose directrix is x=-4

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
8 0
The standard form of equation of parabola is (x-h)^2=4p(y-k) where the directrix is y=k-p and the vertex is as point (h,k).
Thus given that the vertex is at (0,0)
y=k-p
the value of p will be:
-4=0-p
p=4
thus the equation will be:
(x-0)^2=4*4(y-0)
x^2=16y
hence;
y=1/16x^2
the answer is y=1/16x^2
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6.1 = \frac{CR*500}{475}*100

Multiply both sides by 475

6.1 *475 = \frac{CR*500}{475}*100*475

Cancel out the 475's from the top and bottom of the right side

6.1 *475 = CR*500*100

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Flip the sides

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Divide both sides by 5000

\frac{CR*50000}{50000} = \frac{2897.5}{50000}

Cancel out 50000 from the top and bottom of the left side

CR = 0.0579%

CR = 0.0579 * 100      [convert decimal into a percentage]

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