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Jet001 [13]
3 years ago
8

How many fifths is 7?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
7 is the same thing as 7/1
we can multiply 7/1 by 5/5
which is 35/5

There are 35 fifths in 7

Hope it helps
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Identify the graph of 9X^2+4xy+5y^2-40=0 and find theta to the nearest degree.
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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

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

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* Now we will study our equation:

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∵ A = 9 , B = 4 , 5 = 5

∴ B² - 4 AC = (4)² - 4(9)(5) = -164 < 0

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* To find the type of the graph lets check;

- If A and C are nonzero, have the same sign, and are not

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- If A and C are equal and nonzero and have the same

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∵ A and C have same signs and are not equal

∴ The graph is an ellipse

* If we have term xy ⇒ B ≠ 0

∴ The graph is rotate by angle Ф

* To find the angle of rotation use the rule:

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∵ A = 9 , B = 4 , C = 5

∴ cot(2Ф) = (9 - 5)/4 = 4/4 = 1

∴ tan(2Ф) = 1

∴ 2Ф = 45°

∴ Ф = 22.5° ≅ 23° to the nearest degree

* The answer is ellipse; with angle of rotation = 23°

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