If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
Answer:
sqrt(-8x+5)
Step-by-step explanation:
(5-8x)
-----------------
sqrt(-8x+5)
We need to rationalize the denominator
(5-8x) sqrt(-8x+5)
----------------- * ---------------
sqrt(-8x-5) sqrt(-8x+5)
(5-8x) sqrt(-8x+5)
----------------- * ---------------
(-8x+5)
The first term cancels
sqrt(-8x+5)
I think one of the answers would be 9.82
