If f (x) = log x, which statement best describes the transformation f (0.2 (x + 4)) – 7?
O
f(x) = logx is horizontally compressed by a factor of 1/5, shifted 4 to the right,
and shifted 7 units down.
f(x) = logx is horizontally stretched by a factor of 5, shifted 4 to the left, and
shifted 7 units down.
f(x) = logx is horizontally stretched by a factor of 1/5, shifted 4 to the right, and
shifted 7 units down.
f(x) = logx is horizontally compressed by a factor of 5, shifted 4 to the left, and
shifted 7 units down.

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

step-by-step explanation:

rectangles are made up of 4 right angles, which means that a side and a base meet perpendicular to one another.   their slopes then have to reflect perpendicular slopes.   perpendicular slopes are opposite reciprocals of one another.   for example, if the slope of one line is +2/3, then the perpendicular slope to that would be -3/2.   so we look for that combination in our choices.

all of them satisfy that condition (so what's the question, i guess? )