Hr7eneePliven
Hr7eneePliven Hr7eneePliven
  • 15-06-2016
  • Mathematics
contestada

(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet.
D(w) =

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HomertheGenius
HomertheGenius HomertheGenius
  • 20-06-2016
Diagonal of a rectangle:
D²=W²+L²        ( W-width, L-length)
The area :  W*L= 13 ⇒  L=[tex] \frac{13}{W} [/tex]
D=[tex] \sqrt{W^{2} + (\frac{13}{W})^{2} } = \sqrt{W^{2} + \frac{169}{W^{2} } }= \\ = \sqrt{ \frac{W^{4}+169 }{W^{2} } }= \frac{ \sqrt{W^{4} +169} }{W} [/tex]
 
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