Who are these two characters if you get it wrong its all good

What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2

X+ y = 5 ; x - y =3 solve using linear combination

"which statement is necessarily true if bd is an altitude to the hypotenuse of right ? abc? a.) ? adb? ? bdc b.) ? adb~? bdc c.) abbc=acbd d.) ? bac? ? bdc"