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Sav [38]
3 years ago
15

Find the volume of the cube below.

Mathematics
2 answers:
Brums [2.3K]3 years ago
8 0

Answer:125

Step-by-step explanation:

V=a3

V=5^3

V=125

rosijanka [135]3 years ago
5 0
The answer is 125cm^3
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Answer:

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Step-by-step explanation:

* At first lets talk about the general form of the conic equation

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∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

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∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

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∴ x' = x/√2 - y/√2 = (x - y)/√2

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* Lets substitute x' and y' in the 1st answer

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* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

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* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

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∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

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