Two equations for the constant of proportionality equal to 1/2

y=kx and y=are two equations of constant of proportionality

Step-by-step explanation:

          There are two equations for the constant of proportionality. That is

                       (i) Direct proportion

                       (ii) Inverse proportion

          In direct proportion y=kx, Now

                  if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.

         In Inverse proportion y=, Now

                 if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.

         In direct proportion, we put y=1 and x=2, So k=.

         So, the equations y=kx and y= are two equations of constant of proportionality.

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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