torrent-inc
Calculators
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
torrent-inc
torrent-inc
Home
General
Algebra
Geometry
Coordinate-geometry
Statistics
Calculus
Qna
Math
MATH SOLVE
Home
General
Find the distance between 2-3i and 9+21i
4 months ago
Q:
Find the distance between 2-3i and 9+21i
Accepted Solution
A:
Answer:25Step-by-step explanation:[tex]d(z_1,\ z_2)=|z_1-z_2|\\\\z=a+bi\to|z|=\sqrt{a^2+b^2}\\------------------\\\\\text{We have:}\\\\z_1=2-3i,\ z_2=9+21i\\\\\text{substitute:}\\\\|(2-3i)-(9+21i)|=|2-3i-9-21i|\\\\=|(2-9)+(-3i-21i)|=|-7-24i|\\\\=\sqrt{(-7)^2+(-24)^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]