Me 8 square tiles are arranged to form a rectangular array. find the number of possible designs if there are (a) 18 tiles (b) 41 tiles

For 18 tiles:

18 by 1

9 by  2

6 by 3

So its 3 designs

For 41 tiles:

41 by 1

Only 1 design

Minimum width is one - tile, To find the factors of the given number of tiles.

The common factors are:

1

The Greatest Common Factor:

GCF    =        1

Solution

The factors of 18 are:

1, 2, 3, 6, 9, 18

The factors of 41 are:

1, 41

The common factors are:

1

The Greatest Common Factor:

GCF     =             1

Factors of 18,  are 1, 2, 3, 6, 9 and 18.

Possible answers are 1( 18 ),  2(9),  3(6), 18(1,)   9(2),  6(3)  

41 is a Prime Number:

only factors are 1 and 41.

Hope that helps                                           : )

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.