TWO PARTS In segment AC, the midpoint is B. If segment AC= (fill in a number of your choice 1-10 for the length of AC) AB=3x-1 find X

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

the answer on ed. is:

c. "the graph of f(x) has exactly two x-intercepts."

hope i could someone! : )

the easiest way to do these would be to solve the equations. if you can solve the equation than you can solve these problems.