SOLUTION: if y varies directly as x and inversely as z exponent 2 and,y=3 when x=2 and z=4,what is the value of x when y=9 and z =4?

Algebra ->  Matrices-and-determiminant -> SOLUTION: if y varies directly as x and inversely as z exponent 2 and,y=3 when x=2 and z=4,what is the value of x when y=9 and z =4?      Log On


   



Question 49124: if y varies directly as x and inversely as z exponent 2 and,y=3 when x=2 and z=4,what is the value of x when y=9 and z =4?
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
if y varies directly as x
HENCE Y=K'X
and inversely as z exponent 2
SO......Y=K"/Z^2
and,y=3 when x=2 and z=4,what is the value of x when y=9 and z =4?
HENCE Y=KX/Z^2...............
3=2K/4^2=2K/16=K/8
K=24
Y=24X/Z^2
9=24X/4^2=24X/16
X=16*9/24=6