What is the value of cd in the equation 32cd=11cd-42?

a. -1/2
b. 1/2
c. 2
d. -2

d

Step-by-step explanation:

Given

32cd = 11cd - 42 ( subtract 11cd from both sides )

21cd = - 42 ( divide both sides by 21 )

cd = - 2 → d

step-by-step explanation:

subtract 7, so the answer is x < = 3, or c.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)