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 
.
This should be recognized as the difference of perfect squares which is of the form:
(a^2-b^2) and the difference of squares always factors to:
(a-b)(a+b) in this case:
(3x-8)(3x+8)
Answer:
10/12 or 5/6
Step-by-step explanation:
1/2 + 1/2 = 1
5/12 + 5/12 = 10/12 or 5/6
A because we all know the intersection of sin is always in (0,0) but in this case it is different
Answer:
2.61
Step-by-step explanation:
