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Let x = a bi and y = c di and z = f gi. which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)

Sagot :

The first one , the second one ,the fourth one are true.

What is a commutative property in math?

This law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.

1)  x + y = y + x  = a + c (b +  d ) i                                      true

2) ( xy )z = x (yz) = (a + bi)(c + di)( f + gi)                           true

3) x - y = a + bi - ( c - di ) = a - c + ( b- d )i

    y - x = c + di - ( a+bi) = c-a +(d-b)i                                  false

4) (x + y ) + z = x + ( y + z ) = a + c +f + (b +d + g)i                 true

5) (x - y ) - z = a + bi - ( c + di) - ( f + gi)

                    = a - c . f + ( b- d - g) i

         x - ( y - z ) = a + bi - ( c + di - f - gi )

                          = a - c + f + ( b - d + g ) i

{ put the hypothesis into the equation and get the proof }

Learn more about commutative property

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