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Vanyuwa [196]
2 years ago
13

Write the standard form of the equation of the parabola with the given focus or directrix and

Mathematics
1 answer:
horsena [70]2 years ago
3 0

Answer:

x = 1/20 y^2

Step-by-step explanation:

This is a rightward opening  (sideways ) parabola

Directrix = x = -5

Distance formula form point x,y  to directrix and focus are equal:  

(x - -5)^2 = (x-5)^2 + y^2

x^2 + 10x + 25 = x^2 - 10x  + 25 + y^2

20x = y^2

x = 1/20 y^2

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Type the correct answer in the box
TiliK225 [7]

The expression of X in terms of l is X = √5 l

<h3>How to calculate the diagonal of a rectangle</h3>

According to the given information:

  • Length = w
  • If length<u> l is twice as long </u>as the width, then l = 2w

Determine the diagonal using the Pythagoras theorem:

X² = w²+(2w)²
X² = w² + 4w²

X =√5w²
X = √5 w

Replace w with l

X = √5 l

Hence the expression of X in terms of l is X = √5 l

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