For a display, identical cubic boxes are stacked in square layers. each layer consists of cubic boxes arranged in rows that form a square, and each layer has 1 fewer row and 1 fewer box in each remaining row than the layer directly below it. if the bottom of the layer has 81 boxes and the top of the layer has only 1 box, how many boxes are in display?
a. 236
b. 260
c. 269
d. 276
e. 285

E. 285

Step-by-step explanation:

The display forms a pyramid with each layer having a square based with one fewer row and one fewer column than the previous layer.

Since the first layer has 81 boxes, it is a 9x9 square. The next layer is an 8x8 square, followed by a 7x7 and so on.

Therefore, the total number of boxes is:

There are 285 boxes in display.

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0