I need help really bad its due soon and i have work tomorrow ill give you a good rating i just really need help

Step-by-step explanation:

We are given a complex number of the form

a

+

i

b

and we need to compute the absolute value. Absolute value is always positive and it cannot be less than 0.

To compute the absolute value of a complex number, we'll use the rule

|

a

+

b

i

|

=

√

(

a

+

b

i

)

(

a

−

b

i

)

=

√

a

2

+

b

2

|

−

4

−

2

i

|

We know that

|

a

+

b

i

|

=

√

(

a

+

b

i

)

(

a

−

b

i

)

=

√

a

2

+

b

2

See full answer below.

Choice 2

Step-by-step explanation:

z = - 4 - √2 i

|z|  = √((-4)²+(√2)²) =√(16+2)=√18=3 √2

4x and 6y

im not sure though

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.