If the graphs of the linear equations shown below are perpendicular, what is the value of a?
y = 3x +8
2y = ax - 5

Step-by-step explanation:

We are given the lines, and . For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

and

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

I hope this helps! Let me know if you have any questions :)

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )