

Multiply both numerator and denominator of
by the complex conjugate of the denominator, -2+9i.

Multiplication can be transformed into difference of squares using the rule:
.

By definition, i² is -1. Calculate the denominator.

Multiply complex numbers 5-3i and -2+9i in the same way as you multiply binomials.

Do the multiplications in
.

Combine the real and imaginary parts in -10+45i+6i+27.

Do the additions in
.

Divide 17+51i by 85 to get
.

The real part of
is
.

2x + 4x - 21 = 0
6x - 21 = 0
6x = 21
x=3.5
Answer:
-57
Step-by-step explanation:
<h2><u>Use BOMAS</u></h2>
B- brackets
O- of
M- multiplication
A- addition
S - subtraction
-3[1+2(4+5)]
first solve what is in the brackets
(4+5) = 9
place 9 in the brackets
-3[1+2(9)]
now multiply the 2 and 9
2*9 = 18
-3[1+18)]
1+ 18 = 19
now multiply the (-3) with 19
= <u>-57</u>
The answer is d)3 because each number gets multiplied by 3 to qual the next number