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Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​

Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​
asked 61.7k views
4 votes
Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​

asked
User Grzegorz Szpetkowski
by
7.4k points

1 Answer

3 votes

Answer:

10

Explanation:

The distance is equal to the modulus of Z1-Z2.


Z_1 - Z_2 = -7 - 6i - (-15 - 12i) = 8 + 6i\\|8 + 6i| = √(8^2 + 6^2) = √(64 + 36) = √(100) = 10

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User Pablomarti
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