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Vlad1618 [11]
2 years ago
10

We can construct a unique equilateral triangle if we know its___________.

Mathematics
1 answer:
timofeeve [1]2 years ago
8 0

Step-by-step explanation:

We can construct a unique equilateral triangle if we know <u>it's one</u><u> </u><u>side</u><u>.</u>

<u>if</u><u> </u><u>this</u><u> </u><u>helps</u><u> </u><u>you</u><u> </u><u>then</u><u> </u><u>please</u><u> </u><u>make</u><u> </u><u>me</u><u> </u><u>brainlist</u>

my own answer

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Given the foci of (8,0) and the difference of the focal radii = 6, find the equation of the hyperbola
k0ka [10]

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

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

Hence, this is the required solution.

3 0
3 years ago
A lecture hall contains $20$ chairs, all lined in a row. What is the number of ways that five chairs can be chosen, so that no t
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Answer:

Step-by-step explanation:

If we choose chairs having odd number in the row

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similarly if we choose hairs having even numbers only ,

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= 2 x 10 x 9 x 8 x 7 x 6 / 5 x 4x3 x 2 x 1

= 504 .

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