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Eddi Din [679]
3 years ago
13

What is the product of 5−2i and 3−4i? Enter your answer, in standard form, in the box

Mathematics
1 answer:
Lelechka [254]3 years ago
7 0

Answer:

\boxed{7-26i}

Step-by-step explanation:

The binomials are multiplied in the usual way, using FOIL or the distributive property:

  (5 -2i)(3 -4i) = 15 -20i -6i +8i²

Since i² = -1, this becomes ...

  = 15 -20i -6i -8 = 7 -26i

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What is 118/13 = 59/z?
gulaghasi [49]
If you're finding the value of z, z would equal 13/2 or 6.5
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3 years ago
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A student has 10 coins in her pocket that have a value of $0.85. The coins are either
il63 [147K]

Answer:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

x+y=10

The total value of the coins is $0.85, thus

0.05x+0.10y=0.85

The system of linear equations that represents this scenario is:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

5 0
3 years ago
One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 9
svp [43]

Answer:

The answer would be c. 1440

Step-by-step explanation:

one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440

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3 years ago
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Divide £30 between 2 people in the ratio 1:2
yuradex [85]
1+2=3.
30/3=10
10x1=10
10x2=20
So the answer would be £10:£20
And to check if it’s right £10 + £20= £30
3 0
3 years ago
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Eduardwww [97]

Answer:

3. 4 meters

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7. 2 dm > 10 cm

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9. 6 km > 5000 m

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Step-by-step explanation:

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6 0
3 years ago
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