If y varies inversely as the square of x and y equals 4 when x equals 3 find y when x is 2

y = 9

Step-by-step explanation:

Given that y varies inversely as the square of x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 4 when x = 3

k = yx² = 4 × 3² = 4 × 9 = 36, thus

y = ← equation of variation

When x = 2 then

y = = = 9

➷ The equation is:

y = k/x^2

Input the numbers:

4 = k/(3)^2

k = 4 x (3)^2

k = 36

y = 36/(2)^2

y = 9

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

i can you with this sweetie!

step-by-step explanation:

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

  \/         \/         \/         \/

  48 +   24 -   408 + 24 - 3

      \   /               \   /

          72     -     432 - 3 = -363