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
IgorLugansk [536]
3 years ago
14

The point A,B,C and D represent the complex number Z1,Z2,Z3 and Z4 and O is the origin. If OABC is a parallelogram, and Z1=1+3i

and Z2=4+5i, find Z3
Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 5+ 8i

Given that:

Z_1 = 1 + 3i

Z_2 = 4 + 5i

Since O is the origin, then:

C = OA + OB

This means that:

Z_3 = Z_1 + Z_2

So, we have:

Z_3 = 1 + 3i + 4 + 5i

Collect like terms

Z_3 = 1 + 4+ 3i  + 5i

Z_3 = 5+ 8i

Hence, complex number Z3 is 5+ 8i

Read more about complex numbers at:

brainly.com/question/18509723

You might be interested in
Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.
Talja [164]

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3                   y =    (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8                          y =    (20 + 51) / 8

x = (-12) / 8                                     y =    (71) / 8

x = -3 / 2 = -1.5                                    y =    8.875

Thus, coordinate of point p is (-1.5, 8.875).

7 0
3 years ago
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Jlenok [28]
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)

The final answer is choice A

8 0
3 years ago
Read 2 more answers
Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.
Kryger [21]

Answer:

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers.  Let us discuss one by one

1. y =sinx:  False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx:  True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x:   False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

6 0
2 years ago
Please help me with these I’ve been stuck and don’t know what to do
Olenka [21]
First, x intercepts are (-1,0) and (-3,0). y intercept is(0,2)

second, left side is a function because there are no x-values paired with two different y-values. right side is not a function because the x-value 3 is paired with two different y-values values

third, slope is ride over run, or the difference in y values divided by difference in x values. slope is 1/2. intercept is at (0,2). the equation is then y=1/2*x + 2
3 0
3 years ago
What is 3/10 of 68249????????????
Over [174]

Answer:20474.7

Step-by-step explanation:

68249 divide by 10 then multiply by 3

4 0
3 years ago
Other questions:
  • The cost function of a game store is C=$5.50n+$700 and the revenue function is R=$9n. how many games does the store need to sell
    13·2 answers
  • Help math question 7 and 8
    15·1 answer
  • Solve the linear equation. 8x 32=1/5(25x−15)−4x. for x.
    14·1 answer
  • Shade an equivalent fraction
    10·1 answer
  • At the beginning of his diet, jack weighed 240 4/5 pounds. At the end of the diet, he weighed 3/4 his original weight. What did
    13·2 answers
  • I need explanation for when to use the proper trig function in SOHCAHTOA and I need help and guidance for this question please
    13·1 answer
  • Solve the system of linear equations by multiplying. Check the answer by graphing the system of equations. –2x + 2y = 10 -4x + 5
    7·1 answer
  • If Z is the centroid of WXY, WR=87 SY=39 and YT=48 find each missing measure
    8·1 answer
  • Find an equation of the line that is the perpendicular bisector of the line segment joining the points (6,2) and (18,6)
    7·1 answer
  • A thermometer falls from a weather
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!