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Drag the tiles to the correct boxes to complete the pairs.
Given that x = 4 + 5i and y = 2 - 9i, match the equivalent expressions.

1. 53 - 26i
2. 106 - 52i
3. 2 - 32i
4. 14 + 29i

Tiles :

2x (y)

-x + 3y

x (y)

4x - y

Respuesta :

1. 53 - 26i =  x(y)

2. 106 - 52i = 2x(y)

3. 2 - 32i = -x + 3y

4. 14 + 29i = 4x - y

The value of 4x - y = 14 + 29i, -x + 3y = 2 - 32i, x.y = 53 - 26i and 2x(y) =  106 - 52i.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Given that x = 4 + 5i and y = 2 - 9i

4x - y = 4(4 + 5i) - (2 - 9i)

4x - y = 16 + 20i - 2 +9i

4x - y = 14 + 29i

-x + 3y = 2 - 32i

x.y = 53 - 26i

2x(y) =  106 - 52i

Thus, the value of 4x - y = 14 + 29i, -x + 3y = 2 - 32i, x.y = 53 - 26i and 2x(y) =  106 - 52i.

Learn more about the complex number here:

brainly.com/question/10251853

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