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Jet001 [13]
3 years ago
8

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

Mathematics
1 answer:
wariber [46]3 years ago
3 0
The standard equation for a hyperbola with a horizontal transverse axis is 
<span>
(x-h)^2/a^2 - (y-k)^2/b^2  = 1</span><span> . The center is at </span><span>(h, k)</span><span> . The distance between the vertices is </span><span>2a </span><span>. The distance between the foci is </span><span>2c and</span> <span>c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2</span>√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1
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4996

Step-by-step explanation:

Help this help:)

500x10-4= 4996

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\huge\underline\color{skyblue}{Answer ☘}

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A 3 kg toy car rests st the top of a 0.45 meter ramp. What is its gravitational potential energy?
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<span>gravitational potential energy : P
Gravity : g
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height : h

P = mgh  = 3 x 9.8 x 0.45 = 13.23 Joule

Potential energy is work , from the known formula

W = Fd ( work = force x distance ) 

W = P ( in case of potential energy height change)

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</span>

7 0
4 years ago
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