What is the directrix of the parabola defined by (x + 3)2 = -20(y − 1)?
1 answer:
We have that
(x + 3)² = -20(y − 1)
<span>This is actually the vertex form, so we can obtain the vertex already
</span>the vertex is the point (h,k)------------> (-3,1)
4p=-20------------> p=-5
Focus is at (-3,1-5)---------> (-3,-4)
Directrix is at <span>y = 1-(-5)----------> y=6
</span>
the answer is
the directrix is y=6
see the attached figure
(x + 3)² = -20(y − 1)
<span>This is actually the vertex form, so we can obtain the vertex already
</span>the vertex is the point (h,k)------------> (-3,1)
4p=-20------------> p=-5
Focus is at (-3,1-5)---------> (-3,-4)
Directrix is at <span>y = 1-(-5)----------> y=6
</span>
the answer is
the directrix is y=6
see the attached figure
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Answer:
<h3>34.61</h3>Step-by-step explanation:
Find the diagram attached
From the diagram;
Hypotenuse = 81.9
Angle of elevation = 65degrees
Required
The value of x (Adjacent)
Using the SOH CAH TOA identity
cos theta = adjacent/Hypotenuse
cos 65 = x/81.9
x = 81.9cos65
x = 81.9(0.4226)
x = 34.61
Hence the value of x to the nearest hundredth is 34.61
Answer:
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