Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y=mx+b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary. y=2x;(9,-4)
The equation is y=

y = -1/2x + 1/2

Step-by-step explanation:

perpendicular lines have slopes that are opposite signs and reciprocal

therefore, use m=-1/2 and point (9, -4) to complete the equation by finding 'b' (the y-intercept)

-4 = -1/2(9) + b

-4 = -9/2 + b

-4 + 9/2 = b

-4 + 4 = b

b =  

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages

ed sheeran was one of the winners?

step-by-step explanation:

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