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sp2606 [1]
3 years ago
14

Help me please thank

Mathematics
1 answer:
elixir [45]3 years ago
6 0
= √(24 - 6)
= √18
= 4.24

answer
4.24
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julsineya [31]

Answer:

B=45 Degrees

Step-by-step explanation:

You can use law of sines to answer. Law of Sines states that \frac{sin(a)}{A} =\frac{sin(b)}{B}. That means that \frac{sin(60)}{4\sqrt{6} }=\frac{sin(b)}{8}. Multiplying 8 to both sides gives us \frac{8sin(60)}{4\sqrt{6} }=sin(b). By using inverse of sin, we get b =  sin^{-1} (\frac{8sin(60)}{4\sqrt{6} } ). Plugging that into a calculator gives us b=45 degrees.

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A parabola can be drawn given a focus of
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Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

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Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

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24 could be it................
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