sibusiso3752 sibusiso3752
  • 22-10-2019
  • Mathematics
contestada

Consider two complex numbers A = −4 + 5i and B = 4 − 10i.
a. Find the midpoint of A and B.
b. Find the distance betwen A and B.

Respuesta :

wagonbelleville wagonbelleville
  • 22-10-2019

Answer

given,

A = −4 + 5i and B = 4 − 10i.

midpoint of the complex number

[tex]m = \dfrac{-4+4}{2} +\dfrac{5-10}{2}i[/tex]

m = 0 -2.5 i

m = - 2.5 i

distance between point A and B

AB = (-4-4) + (5-(-10))i

AB = -8 + 15 i

distance

      = [tex]\sqrt{-8^2+15^2}[/tex]

     =  [tex]\sqrt{64+225}[/tex]

     = [tex]\sqrt{289}[/tex]

AB = 17

Answer Link

Otras preguntas

what is human right ?​
A motorcycle is following a car that is traveling at a constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the sam
The City of Waterman established a capital projects fund for the construction of an access ramp from the parking garage to the city’s office building to be used
Which of these questions is most likely to result in response bias? A. "What do you think of this TV show?" B. "What is your opinion of this TV show?" C. "How d
7) If the two main characters in a drama were a brother and sister who kept arguing, you might draw a conclusion that the drama's subject was
p = q/4 -r solve for q
How would I create a graph for this equation? The equation is c=4.95+3.99b
what is the meaning of sea Pirates​
Find the midpoint of the segment with the endpoints:(-7,-8) and (4,7)
A runner gets a 30.0 meter head start then runs 5.0km/hr. Write an equation which will represent the runners distance from the start line at any second