you are building a birdhouse that will have a volume of 128 in^3. the birdhouse will have the dimensions shown
a. write a polynomial that represents the volume of the birdhouse
b. what are the dimensions of the birdhouse ?
show your work please

Answer: Dimensions are 4 in, 4 in, 8 in
Hope this helped

Answered by BRAINLY900 | 2024-06-24

0)\\\\w=4\ \ \ \Rightarrow\ \ \ w+4=8\\\\Ans.\ the\ dimensions\ of\ the\ birdhouse:\ \ 4\ in,\ 4\ in,\ 8 \ in"> a . V − t h e v o l u m e V ( w ) = 4 ⋅ w ⋅ ( w + 4 ) = 4 w 2 + 16 w [ i n 3 ] b . V = 128 i n 3 ⇒ 4 w 2 + 16 w = 128 ⇒ 4 w 2 + 16 w − 128 = 0 / : 4 w 2 + 4 w − 32 = 0 w 2 + 4 w + 4 − 36 = 0 ⇔ ( w + 2 ) 2 = 36 w + 2 = 6 or w + 2 = − 6 w = 4 w = − 8 ( an d w > 0 ) w = 4 ⇒ w + 4 = 8 A n s . t h e d im e n s i o n s o f t h e bi r d h o u se : 4 in , 4 in , 8 in

Answered by kate200468 | 2024-06-25

The polynomial representing the volume of the birdhouse is V = w 3 + 4 w 2 − 128 = 0 , with dimensions of width 4 in, height 4 in, and length 8 in.
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Answered by kate200468 | 2024-09-06