Answer:
153
Step-by-step explanation:
i = square root of -1
i = √-1
(3+12√-1) (3-12√-1)
√a times √b = √ab
a√b times c√d = (a times c) √ (b times d)
9 - (36√-1) + (36√-1) - (144(√-1)^2) =
9 - 0 - (144 * -1) =
9 - 0 - (-144) =
9 - (-144) =
9 + 144 =
153
*** funny thing is if you put
(3+12i) (3-12i)
in a calculator
it works!
it gives you the answer 153
another way:
Expand the expression using
(a-b) (a+b) =
a²-b² :
3²-(12i)²
Simplify using exponent rule with same exponent
(a*b)^n =
a^n*b^n:
3²-12²* i²
Calculate the power:
9-144* i²
Rewrite by definition
i²=-1:
9–144×(−1)
Calculate the product or quotient: 9+144
Calculate the sum or difference: 153
Answer: 153
gathmath
<h2>
Hello!</h2>
The answer is:
It will take 18 hours for the return trip.
<h2>
Why?</h2>
To calculate how long does it take for the return trip, we need to calculate the distance between it destination and the starting point.
We know that the ship sails at 15 miles per hour (mph) for 6 hours, so, calculating the distance we have:
We know that the distance between the destination and the starting point is 90 miles, now, to calculate how long does it take the return trip, we need to use the motor speed rate which is equal to 5 miles per hour (mph), so, calculating we have:
Therefore, we have that it will take 18 hours for the return trip.
Have a nice day!
The answer is 6 because with your use the exponent youll get x^3 + 6x + 9. So the x^2 and the 9 cancel out from bothside and you you are left with kx = 6x. Now divide by x and get k = 6.