Acardboard box has a square base, with each of the four edges on the base having length x inches. the total length of all 12 edges of the box is 144 inches.
a) draw a sketch of the box, label the height as h inches and each edge of the base as
x inches b) express the volume v of the box as a function of x. c) sketch the graph of the function v (be sure to label your axis, and then units on each axis) d) since both s and v represent positive quantities (length and volume respectively), what is the domain of v?
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answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.

if y=4x then you will substitute 4x in for y in the second equation.

8x + 4x = 18 combine like terms

12x = 18 divide by 12 on both sides

x = 18/12 or 3/2

now replace x in the first equation with 3/2 to get

y = 4 3/2

y = 6

the answer is a

(3/2,6)

hope that .

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