A translation of 4 units down means subtract 4 from the y-coordinate.
A translation of 5 units right means add 5 to the x-coordinate.
The new polygon will have vertices
A'(-1, 1)
B'(-1, -2)
C'(3, -2)
D'(3, 2)
u - v = <6 - 1, -9 - (-4)> = <5, -5> . . . . . . . matches selection A)
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The sum or difference of vectors is simply the sum or difference of corresponding coordinates.
The volume of a box is equal to the product its width, length and height
V = whl
Since all of the sides are 4 inches, we end up with
V= 4*4*4
Simplify to V = 16*4 = 64.
If the volume of one box is 64:
V = 64
The volume of 12 boxes is 64 * 12.
12V = 768
Since the volume of 12 boxes is the same as the volume of the carton, the volume of the carton must be 768 cubic inches.
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