nkennedy1275 nkennedy1275
  • 21-12-2018
  • Mathematics
contestada

Find the midpoint between A and B, given that A=(-1,+9i) and B=(5-3i)

Respuesta :

lisboa lisboa
  • 21-12-2018

Answer:

2 + 3i, midpoint is (2,3)

Step-by-step explanation:

we need to find the midpoint between (-1+9i) and B=(5-3i)

To find the midpoint of two points (a+bi)  and (c+di) in a complex plane,  

we apply formula

[tex]\frac{a+c}{2} + \frac{b+d}{2} i[/tex]

A = (-1+9i) and B=(5-3i)

Midpoint for AB is

[tex]\frac{-1+5}{2} + \frac{9+(-3)}{2}i[/tex]

[tex]\frac{4}{2} + \frac{6}{2}i[/tex]

2 + 3i , so midpoint is (2,3)


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