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2 years ago

place the following complex number in a two dimensional complex plane and find their absolute value "1+i)

Mathematics

1 answer:

mylen [45]2 years ago

3 0

The point (1,1) represents 1+i in the two dimensional complex plane. Absolute value of 1+i = $\sqrt{2}$ .

Given the complex number, z = 1+i

The general form of a complex plane is x+iy, where x and y are real numbers.

We can place any complex number into a two-dimensional complex plane with two axes - X and Y.

For z = 1+i, x = 1 and y = 1. So the point (1,1) will represent z = 1+i in the two dimensional complex plane.

The absolute value of a complex number z = x+iy is given by ,

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

So for z = 1+i, |z| = $\sqrt{1^2+1^2}=\sqrt{2}$

Learn more about complex numbers at brainly.com/question/10662770

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Find the area of the shaded part.

mart [117]

Answer:

Step-by-step explanation:

For part a :

The circumference of the circle is given by the formula 2πr. We are given r so we double r and put it next to pi :

C = 2×π×r = 2×π×8 = 16π

For part b :

The area of a circle is given by the formula πr². We are given r so we square r and put it next to pi :

A = π×r² = π×8² = 64π

For part c :

The area of a square is given by the formula a² where a is the side length. This question requires an extra step as we don't have the length of the square. But we know that the diameter of the circle will be equal to the side of the length. The diameter of a circle is given by the formula 2r : so

D = 2r = 2×8 = 16

So the area of the square will equal :

A = 16² = 256

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2 years ago

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valentinak56 [21]

Answer:

It would be C.

Step-by-step explanation:

This is because they allow it to be 50 dollars and less, making it C.

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3 years ago

Helpp!!! it's easy question.. I WILL MARK AS BARINLIEST

CaHeK987 [17]

Answer:

I) the value of X is 60

60=1×_

2×30

3×20

4×15

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4 years ago

Sardis was drawing a triangle. The first segment he drew was 10 centimeters. The 2nd side he drew was 12 centimeters. How long w

HACTEHA [7]

Answer:

see the explanation

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the triangle inequality theorem

Let

c ----> the measure of the length of the third side

1) $10+12 > c$

$22 > c\\c < 22 cm$

2) $c+10>12$

$c > 12-10\\c >2 cm$

The solution for the length of the third side is the interval (2,22)

All real numbers greater than 2 centimeters and less than 22 centimeters

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4 years ago

What value of x in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
$6x - 2 \geqslant 4x - 6$

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

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3 years ago

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