JanetteZ791111 JanetteZ791111
  • 04-11-2022
  • Mathematics
contestada

Find the distance d between z1 = (2 + 2i) and Z2 = (6 – 4i).Express your answer in exact terms and simplify, if needed.d

Find the distance d between z1 2 2i and Z2 6 4iExpress your answer in exact terms and simplify if neededd class=

Respuesta :

LaryiahB715064 LaryiahB715064
  • 04-11-2022

We can calculate the distance between these two complex numbers z1 = (2+2i) and z2 = (6-4i) as:

[tex]\begin{gathered} d=|z_1-z_2| \\ d=|(2+2i)-(6-4i)| \\ d=|(2-6)+(2-(-4))i| \\ d=|-4+6i| \\ d=\sqrt[]{(-4)^2+(6)^2} \\ d=\sqrt[]{16+36} \\ d=\sqrt[]{52} \\ d=\sqrt[]{4\cdot13} \\ d=2\sqrt[]{13} \end{gathered}[/tex]

Answer: the distance is d = 2√13

Answer Link

Otras preguntas

manuel no fue ____ a la fiesta
who gained the most french and indian war
ahas 36 coins. this is 4 times as many coins as scott has.how many coins does scott have?
Can you unscramble these words Llama mejor se tu ¿cómo amiga?
How did tighter British control over the colonies lead to a revolution in colonial America?
A baseball is thrown a distance of 20 meters what is its speed if it takes 0.5 seconds to cover the distance?
-50-18 what is the answer
Language often reflects the melding of various societies, cultures and ethnic groups.
describes the impact of the French and Indian War on the British and the colonies? Question 5 options:
when you look at the speedometer in a moving car, you can see the car's