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:
(A) If the number of cups of cereal is 40, then the number of cups of raisins will be 10.
Step-by-step explanation:
Answer:
Step-x ≤ 3
Given
2(4 + 2x) ≥ 5x + 5 ← distribute parenthesis on left side
8 + 4x ≥ 5x + 5 ( subtract 4x from both sides )
8 ≥ x + 5 ( subtract 5 from both sides )
3 ≥ x , hence
x ≤ 3by-step explanation:
Answer:
C, 45 degrees
Step-by-step explanation:
Answer:
(f+g)(x)=2x+1+5 - x
(f+g)(x)=x + 6
(f - g)(x)= 2x + 1 - (5- x )
(f - g)(x)= 3x - 4
