Figure 1 has a volume of 250 cubic meters. Figure 2 has a volume of 128 cubic meters. If figure 2 has a height of 12 meters, then the height of figure 1 is meters.

15 m.

Step-by-step explanation:

If the figures are similar then the ratio of their heights is

∛128 / ∛250

= 0.8.

So 0.8 = 12/ h      where h is the height of figure 1,

h = 12 / 0.8

= 15 m.

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: