Given :
The foci of hyperbola are (8,0) and (-8,0) .
The difference of the focal radii = 6.
To Find :
The equation of the hyperbola.
Solution :
We know, distance between foci is given by :
2c = 8 - (-8)
c = 8
Also, difference between the foci or focal distance is given by :
2a = 6
a = 3
Now, we know for hyperbola :
![b^2 +a^2 = c^2\\\\b^2={c^2-a^2}\\\\b^2 = 64-9\\\\b^2 = 55](https://tex.z-dn.net/?f=b%5E2%20%2Ba%5E2%20%3D%20c%5E2%5C%5C%5C%5Cb%5E2%3D%7Bc%5E2-a%5E2%7D%5C%5C%5C%5Cb%5E2%20%3D%2064-9%5C%5C%5C%5Cb%5E2%20%3D%2055)
General equation of hyperbola is :
![\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1\\\\\dfrac{x^2}{9}+ \dfrac{y^2}{55}=1](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2%7D%7Ba%5E2%7D%2B%5Cdfrac%7By%5E2%7D%7Bb%5E2%7D%3D1%5C%5C%5C%5C%5Cdfrac%7Bx%5E2%7D%7B9%7D%2B%20%5Cdfrac%7By%5E2%7D%7B55%7D%3D1)
Hence, this is the required solution.
Answer:
x = 66.74715005725
Step-by-step explanation:
First you bring over the added variable. 0.194185, and subtract it from 66. Then you divide your difference by 0.985897. This gives you 66.74715005725
Answer:
3/5
Step-by-step explanation:
sin is opposite over hypotenuse
find hypotenuse first -> Hypotenuse = 100 m
(notice that it is a 3-4-5 triangle)
60/100 = 6/10 = 3/5
When a circle's diameter is 1, its circumference is π.
38% of 21,515,714 is 8175971.32 which can be rounded to 8,175,971.
Hope this helps :)<span>
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