Evaluate the limit, if it exists. Show work. lim┬(x→5)⁡〖(x^2-3x-10)/(2x-10)〗

Hello, first of all we can notice that

and

and 0 divided by 0 is undetermined.

So, we need to factorise and simplify first.

For x different from 5, we can write

So, the limit when x tends to 5 is

Thank you

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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christopher is 272,195 year old

step-by-step explanation: