1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rom4ik [11]
3 years ago
10

Given z=4+3i evaluate z​

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

|x + yi|  =  \sqrt{ {x}^{2} +  {y}^{2}  }

|4+ 3i|  =  \sqrt{ {4}^{2} +  {3}^{2}  }

|4+ 3i|  =  \sqrt{ 16+  9 }  \\ |4+ 3i|  =  \sqrt{25 }  \\ |4+ 3i|  = 5

Therefore the modulus be of the given complex number is 5 units

You might be interested in
ali obtained a 36 month loan of 4,350 for a used car. the interest rate is 8%. his monthly payment is 124.62. what is the paymen
tamaranim1 [39]

Answer:

8 % of 4350 is a rate of $348 / yr or $29 per month.

So 124.62 - 29 = 95.62 towards the principal for the 1st month.

That would leave a balance due of 4350 - 95.62 = 4254.38.

4254.38 * .08 = 340.35.

340.35 / 12 = 28.36  interest to be paid in the second month with

124.62 - 28.36 = 96.26 going towards payment of the principal.

Step-by-step explanation:


4 0
3 years ago
Please please please please
Alexeev081 [22]

Answer:

5cm wide, 10cm long.

Step-by-step explanation:

I came to this answer by looking for common factors between 50 and 5, and I found 10.

5cm + 5cm = 10cm, so it works.

To confirm this, I multiplied 5 and 10 and got 50cm (squared) which works.

3 0
3 years ago
1/3 as long as 6 meters meter(s) ??​
Anna11 [10]

Answer:

1/3 of 6 meters is 2 meters

Step-by-step explanation:

4 0
2 years ago
Consider the following system of equations:
IrinaK [193]

Answer:

x = 6 ; y = -9

Step-by-step explanation:

8 x + 2 y = 30  ..........equ No 1

7 x + 2 y = 24......... equ No 2

8 x = 30 - 2y

∴ x =\frac{ 30 - 2 y}{8}

substituting the value of x in equ No 2

7 \frac{30 - 2 y}{8} + 2 y = 24

7 ( 30 -2 y) + 2 y × 8 = 24 × 8

7 × 30 - 14 y + 16 y = 192

210 + 2 y = 192

2 y = 192 - 210

2 y = - 18

∴ y = - 9

put y = -9 , 8 x = 30 - 2 y

        8 x = 30 - 2 ( -9)

    8 x = 30 - ( -18)

  8 x = 48

∴ x = 6

x = 6 ; y = -9

3 0
3 years ago
ASSUME 3 IN EVERY 2000 STUDENTS AT A LOCAL COMMUNITY COLLEGE HAVE TO QUIT DUE TO A SERIOUS HEALTH ISSUE. AN INSURANCE COMPANY OF
WARRIOR [948]
From 2000 students paying $50 a year, they make $100,000. Lets say the 3 students who get in serious trouble with health use the whole policy of $12,000. thats $36,000. So the insurance company made $64,000 profit.
8 0
3 years ago
Other questions:
  • Which shows how to solve the equation -4/5x=80 for x in one step?
    7·2 answers
  • The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model
    11·1 answer
  • What is 10 and 1/2 times 15 times 25
    7·2 answers
  • What is -3/8 + 9/4
    10·1 answer
  • X to the power of 2 equals to negative 25
    8·1 answer
  • Identify the equation of the parent function y=x^3 that is horizontally streched by a factor of 1/5 and reflected over the y axi
    12·1 answer
  • How does each multiplication compare to its corresponding division problem
    9·1 answer
  • What is V's value <br><br> v+17-11=65
    11·1 answer
  • What is the slope of the line represented by the equation f(t)=2t−6? The slope is 2 and the y-intercept is −6. The slope is −6 a
    14·2 answers
  • According to the World Alamanac of 2005, Muhammed emerged as a prophet in 610
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!