HHHHHHEEEEEEELLLLLPPPPPP MEH!!! PLS ANSWER QUICKLY! Brainliest!! y is inversely proportional to square of x. Given that y=4 when x=3, find the value of y when x=5

Respuesta :

Answer:

y = [tex]\frac{36}{25}[/tex]

Step-by-step explanation:

y ∝ [tex]\frac{1}{x^2}[/tex]

=> y = [tex]\frac{k}{x^2}[/tex] --------------(1)

Now, y = 4 and x = 3.

Putting in (1)

=> 4 = [tex]\frac{k}{9}[/tex]

=> k = 4*9

=> k = 36

Now, y = ?, when x = 5

Putting in (1)

=> y = [tex]\frac{36}{5^2}[/tex]

=> y = [tex]\frac{36}{25}[/tex]