Abox without a top is made from a rectangular piece of cardboard, with dimensions 25 inches by 20 inches, by cutting out square corners with side length x inches.

which expression represents the volume of the box in terms of x?

(2x−25)(2x−20)x

(25−2x)(20−2x)x
(25−x)(20−x)x
(25−2x)(20−2x)4x

The second option :: V = is correct.

Step-by-step explanation:

The vertical side was 25 inches before cutting out the corners.  

The horizontal side was 20 inches before cutting out the corners.

So now, if you fold all of the corner up, you get a box that has a height of "x".  

The sides are now missing a length of x from each end.  

So the longer edges of the box are now inches

The shorter edges of the box are now inches

The volume of a box is given by V = length x width x height

So, here the volume becomes:

V = cubic inches.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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