25) a group of 35 people are going to run a
race. the top three runners earn gold,
silver, and bronze medals.
a) permutation: 39,270
b) combination: 78,540
© combination: 19.635
permutation: 157,080

A

Step-by-step explanation:

There are calculators online that you can use to answer this, some even show you the work step by step

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)