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
Lina20 [59]
3 years ago
11

A segment in the complex plane has a midpoint at –1 + i. If the segment has an endpoint at –5 – 7i, what is the other endpoint?

Mathematics
2 answers:
Ket [755]3 years ago
5 0
The midpoint formula is simply
ma = (a1 + a2)/2
mb =(b1 + b2)/2
The midpoint is -1 + i and the other endpoint is -5 - 7i
The other endpoint is
-1 = (-5 + a2)/2
a2 = 3
1 = (-7 + b2)/2
b2 = 9

3 + 9i
morpeh [17]3 years ago
4 0

Answer:

The other end point is: s+ti = 3+9i

Step-by-step explanation:

Mid-Point(M) in the complex plane states that the midpoint of the line segment joining two complex numbers a+bi and s+ti is the  average of the numbers at the endpoints.

It is given by:    M = \frac{a+s}{2} +(\frac{b+t}{2})i

Given: The midpoint = -1 + i and the segment has an endpoint at -5 - 7i

Find the other endpoints.

Let a + bi = -5 -7i  and let other endpoint s + ti (i represents imaginary )

Here, a = -5 and b = -7 to find s and t.

then;

-1+i = \frac{-5+s}{2} + ( \frac{-7+t}{2})i     [Apply Mid-point formula]

On comparing both sides

we get;

-1 = \frac{-5+s}{2}  and  1 = \frac{-7+t}{2}

To solve for s:

-1 = \frac{-5+s}{2}

or

-2 = -5+s

Add 5 to both side we have;

-2+5 = -5+s+5

Simplify:

3 = s or

s =3

Now, to solve for t;

1 = \frac{-7+t}{2}

2 =-7+t

Add 7 to both sides we get;

2+7 = -7+t+7

Simplify:

9 = t

or

t =9

Therefore, the other end point (s+ti) is, 3+9i




You might be interested in
Please heeelp !! <br> Missing triangles !!
Airida [17]

Answer: ABC seem to be equilateral

so A=B=C=60

D=42

E=35

F=35

G=55

H=45

I=45

j=15

k=15

L=75

M=180

N=11

O=35

P=11

Q=55

R=55

S=32

T=32

U=69

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
after the interview ,Ellen decided to hire two of the applicants and reject the others .Ellen's assistant called back the applic
Elden [556K]

Answer:

40 + 2r

Step-by-step explanation:

Well an hour has 60 minutes.

So 60 x 1/30 = 60/30 = 2 minutes for each person that didn't get into the job

60 x 1/3 = 60/3 = 20 minutes for the people that made it into the job.

20 x 2 = 40 minutes in total for the people that made it into the job.

We don't know how much people got rejected so:

The answer is

40 + 2r

7 0
2 years ago
Find the area of the shaded polygon:<br><br> PLS JUST ANSWER
timofeeve [1]

Answer:

9 square units

Step-by-step explanation:

1/2(3)=1.5

1/2(6)=3

2

1/2(3)=1.5

1/2(2)=1

1.5+1.5+3+2+1=9

7 0
3 years ago
A cube has an edge lengths of 5 cm. A rectangular prism has dimensions of 5 cm, 25 cm, and 1 cm. Which of the following statemen
murzikaleks [220]

The volume of cube and rectangular prism are same. Option B.

Step-by-step explanation:

Given,

The length of the edge of the cube (a) = 5 cm

The dimension of rectangular prism (l×b×h) = 5 cm×25 cm×1 cm

To find the relation between the volume of cube and rectangular prism.

Formula

The volume of a cube = a³ cube cm

The volume of rectangular prism = l×b×h cube cm

Now,

The volume of a cube = 5³ cube cm = 125 cube cm

The volume of rectangular prism = 5×25×1 cube cm = 125 cube cm

Hence,

The volume of cube and rectangular prism are same.

6 0
3 years ago
Read 2 more answers
51% of the tickets sold at a school carnival were early-admission tickets. If the school sold 100 tickets in all, how many early
saul85 [17]

Answer:

51 were the total number of the tickets sold at a school carnival were early-admission tickets.

Step-by-step explanation:

Total number of tickets sold by  = 100

Let x be the early-admission tickets sold by the school.

As 51% of the tickets sold at a school carnival were early-admission tickets.

so

x=\frac{51}{100}\times 100

  = 51

Therefore, 51 were the total number of the tickets sold at a school carnival were early-admission tickets.

5 0
3 years ago
Other questions:
  • QUICKLY !!
    5·1 answer
  • Someone help me please thanks
    10·1 answer
  • Is 14.875 rational or irrational
    14·2 answers
  • 15 is 0.4% of what number?
    14·2 answers
  • Peter is in a walk-a-thon he walks kilometers per hour. if he for 6 hours about how far will he walk.​
    12·1 answer
  • How much would 55 pounds on mercury weight on earth
    15·1 answer
  • HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would
    14·2 answers
  • Plato algebra 2 piecewise functions
    13·1 answer
  • Which is grater .856 or .8561
    13·2 answers
  • FACTORIZE<br>A(X)=(2+3x)(-x+7)(-2+3x)(2x+1)​​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!