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maksim [4K]
3 years ago
12

Y is inversely proportional to d²

Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Answer:

y is directly proportional to x⁴

Step-by-step explanation:

y is directly proportional to d² and d is directly proportional to x². so d² is directly proportional to x⁴. hence y is directly proportional to x⁴

Svetradugi [14.3K]3 years ago
6 0

Answer:

  • y = 100 / (9x⁴)

Step-by-step explanation:

<u>y is inversely proportional to d²</u>

  • y = k/d²

<u>When d = 10, y = 4:</u>

  • 4 = k/10²
  • k = 400

<u>y is:</u>

  • y = 400/d²

<u>d is directly proportional to x² </u>

  • d = mx²

<u>When x = 2, d = 24</u>

  • 24 = m*2²
  • m = 24/4
  • m = 6

<u>d is:</u>

  • d = 6x²

<u>Find a formula for y in terms of x:</u>

  • y = 400 / d² = 400 / (6x²)² = 400 / (36x⁴) = 100 / (9x⁴)
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