

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
.

The answer is C) y = 4x - 3
B and D can be eliminated by substituting 0 for x in each...the result is not -3
Now you have a 50/50 chance of getting the question correct
Answer:
115/12
Step-by-step explanation:
Answer:
This means the mock-up tank has a volume 216 times smaller than the initial tank.
Step-by-step explanation:
The ratio between volume is given by

This means the mock-up tank has a volume 216 times smaller than the initial tank.
Y=3x^2. -12x+6
If x= 0 then y= 3•0^2 -12•0+6=6
X=0, y=6
y intercept is the place where the curve touches the y-axis and is at point (0, 6)