If y varies directly as x, find the constant of the variation when y =12 and x =4

To demonstrate the statement “y varies directly as x”, you will have to have this equation:

y = kx

Where k = constant of the variation

In this problem, you have to substitute the value of x and y to calculate for the constant.             

12 = k (4)

k = 3

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+

25.45584

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.