when p(x) = 9x - 45° +37x2 + 2 + 2 is divided by r - 2, a student can determine the remainder
by evaluating p(2). what is the value of p(2)?
a) p(2) = 656
b) p(2) = 652
c) p(2) = -64
d) p(2) = -368

details

step-by-step explanation:

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'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.