Now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane.

which is the absolute value of complex plane |a+ib|

Step-by-step explanation:

The absolute value of any complex number is its modulus for which we have a formula of modulus

where a and b are real numbers.

Please look at the attachement for complex plane of the given points (a,b) and (0,0)

The distance between two points and will be

Here we need to find the distance between (a,b) and (0,0)

on substituting the values in distance formula we will get

which is the absolute value of complex plane |a+ib|

the first one isdistance

the second part is... positive real

Step-by-step explanation:

got it right

its the second choice.

step-by-step explanation:

the elements in the range will be 7 less than the elements in the domain.

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