

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:
The probability is 1/9
Step-by-step explanation:
The probability of rolling a 5 the first time is 1/6
The probability of rolling a number greater than 2
Numbers greater than 2 are 3, 4, 5, 6
So the probability of rolling a number out of these four is 4/6
So the probability of rolling a five for the first time and the probability of rolling a number greater than 2 the second time will be
1/6 * 4/6 = 4/36 = 1/9
Answer: y=2(x-3)-5
I hope this is good enough:
Grapefruit=108
Orange=100
Apple=90
a) (108-90)/90*100 = 18/90*100=20%
b) (108-90)/108= 18/108*100=16 2/3%
Answer:
79853709 with the exponent of 94
Step-by-step explanation: