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likoan [24]
3 years ago
10

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
We are given with the focus coordinates of (0,-4) and a directrix equation of y=4,. we are asked for the equation of the parabola. The vertex of the parabola should lie in between the directrix and the focus. Hence, vertex should be at (0,0). the curve goes downwards. and the length of the latus rectum is 4. Hence the equation is x2=-16y
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Step-by-step explanation:

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mars1129 [50]

Answer: 1/2

Step-by-step explanation:4

4

×  

1

2

=  

1

2

Result in decimals: 0.5

Calculation steps:

4

4

×  

1

2

=  

4 × 1

4 × 2

=  

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

Further explanation

For the problem:

4

4

×  

1

2

= ?

Multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

4 × 1

4 × 2

=  

4

8

The Greatest Common Factor (GCF) of 4 and 8 is 4. The result can be simplified by dividing both the numerator and denominator by 4.

4

8

=  

4 ÷ 4

8 ÷ 4

=  

1

2

The result is:

4

4

×  

1

2

=  

1

2

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