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Lorico [155]
3 years ago
11

What is the value of (7 + 2i)(3 - i)?

Mathematics
1 answer:
Harrizon [31]3 years ago
7 0
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
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write a equation that is perduliclar to x-3y=3 and passes through the point (5-9).write it in equation slope intersept form​
Anarel [89]

Answer:

The slope of the line is -7/8

When the point (7, –4) is used, the point-slope form of the line is

y+4=(-7/8)(x-7)

The slope-intercept form of the line is y=(-7/8)x+(17/8)

Step-by-step explanation:

Step-by-step explanation:

5 0
3 years ago
For carolina's birthday her mom took her and her friends to a water park.Carolina mom paid 42.50 for 5 students tickets. What wa
Sophie [7]

Answer:

8.5 for each student ticket

Step-by-step explanation:

Simply divide the total cost 42.5 by the amount of students 5 to get your answer.

42.5 / 5 = 8.5

7 0
2 years ago
which method for comparing fractions were you unaware of before reading? use it to compare 2/3 and 3/4​
wolverine [178]

Good morning

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Answer:

2/3 < 3/4​

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Step-by-step explanation:

2/3 = (2*4)/(3*4)=8/12

3/4 = (3*3)/(4*3)=9/12

Since 9/12>8/12 then 3/4>2/3

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6 0
3 years ago
A car of 1000 kg starts to move from rest and travels a distance of 150 m in 10 second. How much force is needed?​
allsm [11]
  • Initial velocity=u=0m/s
  • Distance=s=150m
  • Time=t=10s
  • Acceleration=a

Using second equation of kinematics

\\ \sf\longmapsto s=ut+\dfrac{1}{2}at^2

\\ \sf\longmapsto 150=0(10)+\dfrac{1}{2}a(10)^2

\\ \sf\longmapsto 150=\dfrac{1}{2}\times 100a

\\ \sf\longmapsto 50a=150

\\ \sf\longmapsto a=\dfrac{150}{50}

\\ \sf\longmapsto a=3m/s^2

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Using newtons second law

\\ \sf\longmapsto F=ma

\\ \sf\longmapsto F=1000(3)

\\ \sf\longmapsto F=3000N

3 0
2 years ago
Cards are selected from a standard deck of 52, the results are recorded in the table. what is the empirical probability of not s
Cerrena [4.2K]

The table have the following results:

 

Hearts – 7

Diamonds – 4

Clubs – 8

Spades – 5

There is a total of 24

 

The question is asking for the probability of not selecting a heart.

So we need to add the probabilities of the diamonds, clubs, and spades since these suits are different from hearts.

So = 4 + 8 + 5 = 17

And we have a total of 24 cards

<span>Therefore the probability is 17/24. </span>

7 0
3 years ago
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