You have 12 different video games. How many different ways can you arrange the games side by side on a shelf? You can arrange the 12 different video games in different ways.

479001600

Step-by-step explanation:

equation: 12!

12!=479001600

Below

Step-by-step explanation:

There 12! ways to arrange the video games

● 12 = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 ×1

● 12 = almost 480 millions ways

This means over 15 years to arrange them in all the possible ways.

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)

stethere all not eveanp-by-step explanation: