(a) The coefficient of x^2 in the expansion of (1/x + 5x)^8 is equal to the coefficient of x^4 in the expansion of (a+5x)^7, a ∈ R. Find the value of a. (b) Find the coefficient of x^-2 in the expansion of (x-1)^3(1/x + 2x)^6

(d)

step-by-step explanation:

given: the line in the graph passes through points (5,30) and (6,26).

then, the equation of line is:

now, put y=a(n) and x=n,

hence, option d is correct.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

i would need to see the shape

step-by-step explanation:

the answer for the question that you are asking is 4