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NikAS [45]
3 years ago
10

What is the absolute value of 4-2i?

Mathematics
1 answer:
Anni [7]3 years ago
8 0
2
√
5
,
8
and
√
58
Explanation:
given a complex number
x
+
y
i
then the absolute value is
∙
x
|
x
+
y
i
|
=
√
x
2
+
y
2
4
+
2
i
has
x
=
4
and
y
=
2
⇒
|
4
+
2
i
|
=
√
4
2
+
2
2
=
√
20
=
2
√
5
8
i
has
x
=
0
and
y
=
8
⇒
|
8
i
|
=
√
0
2
+
8
2
=
8
−
3
+
7
i
has
x
=
−
3
and
y
=
7
⇒
|
−
3
+
7
i
|
=
√
(
−
3
)
2
+
7
2
=
√
58
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What is the distance from the origin of point P graphed on the complex plane below?
ZanzabumX [31]

Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula = \sqrt{(x2 -x1)^2 + (y2 - y1)^2} \\

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance = \sqrt{(2 -0)^2 + (-5 - 0)^2}

= \sqrt{2^2 + (5)^2}

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concept.

Thank you.

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kati45 [8]
Hey there! :D

Let's break this up piece by piece. 

The first two, let's say that the first boxes represent the bottom of the chart. 

The first far left box would be 13. 

The next one 9. 

Going across, 10 and 11. 

Two more up. 

7 and 3. 

One more across, which is 4. 

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Which of the following sets is NOT closed under addition.
Veronika [31]

Answer:

Step-by-step explanation:

The odd numbers.

Suppose you have 31 and 27 when you add these two together, you get 58 which is not an odd number.

If you need a more mathematical proof, you could do it this way.

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2x is even. Anything multiplied by 2 is even. When you add 1 you get an odd number

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