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MaRussiya [10]
2 years ago
11

If y varies inversely asx, and y = 33 when x = 7 what is the constant and what is value of y when x=11?

Mathematics
1 answer:
allsm [11]2 years ago
7 0

Answer:

We have that y = 21 when x = 11.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.

33 - 7

y - 11

So

11y = 33 -7

y - 11

Dividing both sides by 11

Y = 3 * 7 = 21

We have that y = 21 when x = 11.

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4. The directrix of the parabola 12(y + 3) = (x-4)2 has the equation y=-6. Find the coordinates of
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The coordinates of the focus of the parabola are (4 , 0)

Step-by-step explanation:

The standard form of the equation of the parabola is  

(x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h , k)
  • The focus is (h , k + p)
  • The directrix is at y = k - p

∵ The equation of the parabola is 12(y + 3) = (x - 4)²

 - The form of the equation is (x - h)² = 4p(y - k), compare

    between them to find h, k and p

∴ h = 4

∵ - k = 3

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- Divide both sides by 4

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∵ h = 4 , k = -3 , p = 3

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∴ The focus is (4 , 0)

The coordinates of the focus of the parabola are (4 , 0)

Learn more:

You can learn more about the equation of the parabola in brainly.com/question/9390381

#LearnwithBrainly

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