Is y=4x-11 and y=1/4+4 perpendicular

no

Step-by-step explanation:

the lines are only perpendicular when their slopes are the opposite sign and the are the reciprocal of the slope.

ex) y = 2/3x + 6 is perpendicular to the line y = -3/2x + 9

so in this case y = 4x - 11 would be perpendicular to the line y = - 1/4x + 4

just add a negative sign on 1/4 and it'll be perpendicular

hope this helps !

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.