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Virty [35]
3 years ago
10

Plz plz answer this 10pts:)

Mathematics
2 answers:
Westkost [7]3 years ago
7 0

Answer:

12-4=8

8 more students

hope this helps

have a good day :)

Step-by-step explanation:

alukav5142 [94]3 years ago
6 0

Answer:

8

Step-by-step explanation:

12-4=8

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Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

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Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

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