1 year ago

Introduction to complex numbers 5VV

Mathematics

1 answer:

sesenic [268]1 year ago

6 0

Step-by-step explanation:

sqrt(-4) = sqrt(4×-1) = sqrt(4)×sqrt(-1) = 2i

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X + 3 = y,

Anna007 [38]

3. X= y-3

You subtract 3 to the other side to make X the subject of the formula.

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2 years ago

Solve for x. Enter your answer in interval notation using grouping symbols. x2 + x < 20

Rus_ich [418]

Answer:

x<18

Step-by-step explanation:

2+x<20

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3 years ago

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What is the mean (average) of these five numbers?

IRINA_888 [86]

Answer:

C. 5

Step-by-step explanation:

Mean: Numbers over amount of numbers

(2 + 4 + 5 + 6 + 8)/5

25/5

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2 years ago

Which model represents 0.30 + 0.03? A)a B)b C)c D)d

Masteriza [31]

The model that represents 0.30+0.03 is A.

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3 years ago

Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

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3 years ago