A toy has various shaped objects that a child can push through matching holes. The area of the square hole is 6 square centimeters. The volume of a cube-shaped block is 27 cubic centimeters.
a. Which edge length can be found? Explain.
b. Will the block fit in the square hole? Explain.
the length of each edge of the
can be found. Each edge is
a. Since
is a perfect
centimeters long.
No

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

teleportation

step-by-step explanation:

the furthest the dog can be is 508 meters away from the house, and the closest he can be is 492 meters away from the house.