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stepan [7]
3 years ago
15

A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0).

Mathematics
2 answers:
konstantin123 [22]3 years ago
7 0

Answer:

C

Step-by-step explanation:

e-lub [12.9K]3 years ago
4 0
Hyperbola equation opening horizontally:
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1
Asymptotes:
y = \pm \frac{b}{a} x

'a' is distance vertex is from center --> a = 9
'c' is distance focus is from center  --> c = 15
a^2 + b^2 = c^2 \\  \\ b^2 = 15^2 - 9^2 = 144 \\  \\ b = 12

Asymptotes are:
y = \pm \frac{12}{9} x = \pm \frac{4}{3} x
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<h3><u>Ⲁⲛ⳽ⲱⲉⲅ:</u></h3>

  • 38,016 cm³

<h3><u>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</u></h3>

<u>We </u><u>are </u><u>given </u><u>that </u><u>:</u>

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<u>Therefore, Volume :</u>

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‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>volume</u><u> </u><u>of </u><u>given</u><u> </u><u>cylinder</u><u> </u><u>is </u><u>3</u><u>8</u><u>,</u><u>0</u><u>1</u><u>6</u><u> </u><u>cm³</u><u>.</u>

<h3><u>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</u></h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

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