Mike drew p pictures. Rick drew 41 fewer pictures than Mike. Choose the expression that shows how many pictures Rick drew. (A.) p

(B.) 41 + p

(C.) p - 41

(D.) 41 - p

It's p - 41.

Step-by-step explanation:

We're trying to find how many pictures Rick drew, which is 41 less than how many Mike drew, p. To find the expression in situations like these, always take how many fewer was drawn from the amount the other person drew, which would be 41 - p. But this would most likely give us a negative answer, which isn't possible. Switch them around and you have p - 41.

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)