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seropon [69]
3 years ago
12

Find the missing value when given the modulus. 2. (picture) (in the third quadrant)

Mathematics
2 answers:
Nat2105 [25]3 years ago
5 0

Answer:

The value of a is -6.

Step-by-step explanation:

A complex number is defined as

z=x+iy

|z|=|x+iy|=\sqrt{x^2+y^2}

where, x is real part and iy is imaginary part.

The given equation is

|a-i|=\sqrt{37}

Here real part is a and imaginary part is -i. So, x=a and y=-1.

\sqrt{a^2+(-1)^2}=\sqrt{37}

Taking square on both the sides.

a^2+(-1)^2=37

a^2+1=37

Subtract 1 from both the sides.

a^2=36

Taking square root on both the sides.

a=\pm \sqrt{36}

a=\pm 6

The value of a is either 6 or -6. But it is given that the picture is in third quadrant, so the value of a can not be positive.

Therefore the value of a is -6.

wolverine [178]3 years ago
4 0
Hello, Kana back on for some more questions! :3
let's see what you have now...
what are these questions ._. ...I can't understand hmmm...

Firstly, do you know what the | a - i | stands for? and are you trying to divide?
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3 years ago
Which inequality represents the statement? The ages (a) of s group of travelers all exceeded 17 years and were no more then 54 y
klasskru [66]

Answer:

The inequality that represents the age of the group, "x", is: 17 < x \leq 54

Step-by-step explanation:

To express this problem in an inequality we will attribute the age of the members on the group with the variable "x". There are two available information about "x", the first states that every member of the group is older than 17 years, therefore we can create a inequality based on that:

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In order for both to be valid at the same time x must be greater than 17 and less or equal to 54, therefore we finally have:

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7 0
3 years ago
What multiples for 90 and adds up to -23 ?
melamori03 [73]

Easy buddy...

_________________________________

Step (1)

I choose a number which is x

_________________________________

Step (2)

Multiplies by 90 :

90x

_________________________________

Step (3)

Adds up to -23 :

90x - 23

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
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