Y=2/3x-4 and y=-3/2x+1 are perpendicular lines. jack notices that the product of the two perpendicular slopes is -1. if a line has a slope of a/b, determine the perpendicular slope, and then show that the product is-1.

Slope = -b/a.

Step-by-step explanation:

Note that the relation between 2/3 and -3/2 is that their product is -1.

If the slope is a/b then we have a/b * m = -1 where m is the slope of the perpendicular line .

So m =  -1 / a/b

= -b/a.

The produce = a/b * -b/a = -1.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3