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barxatty [35]
3 years ago
14

Find the standard form of the equation of the parabola with a focus at (0, -9) and a directrix y = 9.

Mathematics
2 answers:
dangina [55]3 years ago
7 0

Answer:

Standard form (x - 0)² = 4(-9) (y - 0).

Step-by-step explanation:

Given  :  parabola with a focus at (0, -9) and a directrix y = 9.

To find : Find the standard form of the equation .

Solution : We have given focus at (0, -9) and a directrix y = 9.

Standard form of the equation:  (x - h)² = 4p (y - k).

Where the focus is (h, k + p) and the directrix is y = k - p.

Focus ( h , k+p ) = ( 0 , -9)  ;  

Here ,  h = 0 ,

k + p = -9 .

directrix y = 9.

k - p = 9

k + p = -9

___________    ( On adding )

2k = 0

k = 0.

Then  k - p = 9

Plug k  = 0

0 - p = 9

p = - 9.

Plug all values in standard form of parabola.

(x - 0)² = 4(-9) (y - 0).

Therefore, Standard form (x - 0)² = 4(-9) (y - 0).

ololo11 [35]3 years ago
5 0

The Standard Form Is

x^2 = 0 (y - 9)

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Answer:

\frac{2}{7}

Step-by-step explanation:

Given:

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Question asked:

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Solution:

Fuel used around the city = \frac{1}{7}

Remaining fuel after driving around the city = 1 - \frac{1}{7}

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According to question:

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By unitary method:

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The car can complete 1 trip by using =  \frac{6}{7} \div 3

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3 years ago
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Marta_Voda [28]
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Step-by-step explanation:

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8 0
2 years ago
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Ierofanga [76]

Answer:

see explanation

Step-by-step explanation:

Under a translation < 5, - 9 >

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