Question

S varies inversely as the square of D and k is the constant of the variation. Write down the equation connecting s and d. Calculate the constant of the variation if S=2 and D=5

Answer 1

S * D^2 = k

2 * 5^2 = ?

Answer 2

How to solve the question

Answer 3

I don't know it

Answer 4

[AI-generated answer — Explain Bot]

To write down the equation connecting S (s) and D (d) when S varies inversely as the square of D, we can start with the following inverse square equation:

S = k / D^2

Where k represents the constant of variation. Now let's calculate the constant of variation, k, using the given values S = 2 and D = 5:

2 = k / 5^2
2 = k / 25

To solve for k, we can multiply both sides of the equation by 25:

2 * 25 = k
50 = k

Therefore, the constant of variation is k = 50. Thus, the equation connecting S and D when S varies inversely as the square of D is:

S = 50 / D^2