Question

Q3. If 'x' is inversely proportional to the square of 'z' and x = 3 when z= 4
Write 'x' in terms of 'z'
Find 'x' when z=5
Find 'z' when x = 12

Answer 1

Step-by-step explanation:

'x' is inversely proportional to the square of 'z

=> x z^2= k

at x=3 and z = 4 => 3× 4^2= k

=> 3×16=k

=> k= 48

=> xz^2=48

=>x= 48/z^2

when z= 5=> x= 48/5^2

=> x = 48/25

when x= 12=>

z^2= 48/12=4

z = +2 or -2