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Feliz [49]
3 years ago
5

How can you rewrite the expression (8-5i)^2 in the form of a +bi

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0
\bf \textit{recall that }i^2=-1\\\\
-------------------------------\\\\
(8-5i)^2\implies (8-5i)(8-5i)\implies 64-40i-40i+(5i)^2
\\\\\\
64-80i+(5^2i^2)\implies 64-80i+(25\cdot -1)\implies 64-80i+(-25)
\\\\\\
64-80i-25\implies 39-80i
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Someone please help!
svetoff [14.1K]

Answer:

a =6

b=4

c=2

step-by-step explanation:

\sqrt{x^{12} y^{9}z^{5} }   = \sqrt{x^{12} y^{8}y z^{4} z}  = \sqrt{(x^{6}) ^{2} (y^{4}) ^{2} (z^{2})^{2} yz }  = x^{6}y^{4} z^{2}  \sqrt{yz}

7 0
2 years ago
A salesperson at a car dealership has a salary of 900 dollars per week plus 3% commission on sales if a salesperson has sales of
Leona [35]

Answer:

Step-by-step explanation:

A salesperson at a car dealership has a salary of 900 dollars per week plus 3% commission on sales if a salesperson has sales of $72000 in one week, it means that the amount of commission that was received by the salesperson would be

3/100 × 72000 = 0.03 × 72000 = $2160

Therefore, the total amount of pay that the salesperson would receive for the week would be

900 + 2160 = $3060

6 0
3 years ago
Nikita borrows 1 superhero book and 1 dragon book from the library. The superhero book has a mass of 200 grams. The dragon book
Alexeev081 [22]
You have to add the mass of the superhero book and the dragon book 200+310=510
5 0
3 years ago
For a scientific experiment, a physicist must make sure that the temperature of a metal does not get colder than −78 °C. The phy
igor_vitrenko [27]
-3t < -78 
÷-3      ÷-3
_________
t > 26

78÷26=3
4 0
3 years ago
The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en
Kay [80]
The cost of 1 adult ticket in the off season is 42$, but it is asking for the child ticket's price so you would do 194-42 and you get 152. Then, you would divide 152/4 and you get 38 but this is during the off-season so you would double it and get 76.
The regular price for a child is 76$

But feel free to check my work :D

4 0
3 years ago
Read 2 more answers
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