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a film set designer is using white and colored tiles in a pattern to create paths of different lengths. if x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

(4x2y3)(3x2y2)

where y represents the number of white tiles.

which simplified expression represents the number of colored tiles used for a path of length x feet?

7x4y5
7x4y6
12x4y5
12x4y6

Option C.

Step-by-step explanation:

If x feet is the length of the path, the number of colored tiles needed to make it is calculated using the rule as

(4x²y³)(3x²y²)

Here y represents the number of white tiles.

Now simplified expression that represents the number of colored tiles used for a path of x feet length will be

= (4×3).(x².x²)(y³.y²)

=

=

Therefore option C. is the answer.

tangent

step-by-step explanation:

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl