

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
.

Answer:
They are equivalent
Step-by-step explanation:
Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.
Answer:
Are the sides parallel?
Step-by-step explanation:
Answer: the second fifth and sixth one
Step-by-step explanation: