

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:
210 seconds
Step-by-step explanation:
LCM of 5,6 and 7
Answer:
ANSWER: letter D
Step-by-step explanation:
In the tenth installment, the debit balance is, in reais, of
180000 - 9. 500 = 175500
The 1% interest on this amount results in:
1% . 175 500 = 1755
Thus, the tenth installment is, in reais, 500 + 1755 = 2255
A. f(b) = 3+b
b. f(x) = (x+3)²
c. f(x) = (x+3)/(12-x)
d. f(x) = x⁵-4x+6
e. f(x) = -45
f. f(x) = x