Raj tested his new flashlight by shinning it on his bedroom wall the beam of the light can be described by the equation x^2 y^2-2x-4y-31=0 how many inches wide is the beam of light on the wall

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

idk

step-by-step explanation: