you are giving an expression for the volume of the rectangular prism. find an expression for the missing dimension
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OpenStudy (candy13106):
|dw:1457282092064:dw|
jhonyy9 (jhonyy9):
let be the missing side Y
you know that the volume of a rectangular prism is area of base time height
so can you rewriting this knowledge using the missed side ?
jhonyy9 (jhonyy9):
area of base so area of a rectangle equal ?
OpenStudy (candy13106):
length times wihth
jhonyy9 (jhonyy9):
exactly so than you use what you know there note the missed side by one y
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OpenStudy (candy13106):
ok so x+2 times x+4 times y?
jhonyy9 (jhonyy9):
just area of base equal y*(x+4) - yes ?
and the volume will be equal with area of base time the height - yes
OpenStudy (candy13106):
ok
jhonyy9 (jhonyy9):
so than you can writing
V = y(x+4)(x+2) - exactly how you have wrote above
so for you can calcule the missed side just rewrite this equation for y - ok. ?
OpenStudy (candy13106):
k
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OpenStudy (candy13106):
do i foil it
jhonyy9 (jhonyy9):
V=y(x+2)(x+4) divide both sides by (x+2)(x+4) and will get the equation for y
OpenStudy (candy13106):
wat
jhonyy9 (jhonyy9):
V y(x+2)(x+4)
----------- = ------------ yes ? but in the right part the (x+2)(x+4) from the top and
(x+2)(x+4) (x+2)(x+4) bottom will simplified and will get
V
---------- = y
(x+2)(x+4)
yes ?
OpenStudy (candy13106):
ok
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