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Answer:

C

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The expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

How to calculate complex number from graph?

To find the value of a complex number from the graph, follow the steps below.

  • On the graph where x-axis represents the real line, the distance of the point give the real number.
  • On the graph where y-axis represents the imaginary line, the distance of the point give the imaginary number, which is written with complex number i.

The point Z1 is 3 units right and 4 units down from the origin point. Thus, the complex number which represent it is,

[tex]Z_1=3-4i[/tex]

The point Z2 is 4 units left and 1 units up from the origin point. Thus, the complex number which represent it is,

[tex]Z_2=-4+1i[/tex]

The expression which is the result of subtracting (Z2-3i) from (Z1 + 2) is,

[tex](Z_1 + 2)-(Z_2-3i)\\(3-4i + 2)-(-4+i-3i)\\3-4i + 2+4-i+3i\\9-2i[/tex]

Hence, the expression which is the result of subtracting the complex number (Z2-3i) from another complex number (Z1 + 2) is 9-2i.

Learn more about the complex number here;

https://brainly.com/question/2218826