Question

See file! Please help! Will medal and fan!

Answer 1

by saying g(x) varies directly with x^2, the question is basically saying that an equation between g(x) and x^2 is something like this:

g(x)=kx^2
where k is some constant which we don't know

Answer 2

so, we can start by plugging in the values given into the equation
we know that g(x)=18 when x=6
we can substitute these values into our equation, so
18=k*(6)^2

Answer 3

now we have to find k
we have 18=k*36, so we can divide each side by 36 to get k=0.5

Answer 4

Now that we know what k is, we can use this value to find x when g(x)=50
Note that our equation is now g(x)=0.5*x^2
Substituting in 50 for g(x), we get:
50=0.5x^2,
we can multiply both sides by 2 to get
100=x^2
to get x, we have to get the square root of both sides
so we get x=sqrt(100)=10

Answer 5

Umm he is right but did you get it ?