All categories

2 years ago

Which complex number is represented by the graph

Mathematics

1 answer:

Dmitrij [34]2 years ago

4 0

Answer:

$3-4i$

Step-by-step explanation:

The x-axis represents $x$ and $x$ is 3. The y-axis represents $iy$ and $y$ is -4 so $iy$ is -4i.

You might be interested in

Convert from rectangular to polar coordinates: note: choose rr and θθ such that rr is nonnegative and 0≤θ<2π0≤θ<2π (a)(9,0

DochEvi [55]

Answer:

Step-by-step explanation:

Convert rectangle (x , y) to polar coordinates ( r , θ)

$x=r \cos \theta, y= r \sin \theta$

$r=\sqrt{x^2+y^2} , \theta =tan^-^1 (\frac{y}{x} )$

a) converts (9, 0) to polar coordinates ( r , θ)

$r=\sqrt{x^2+y^2} \\\\=\sqrt{9^2+0} \\\\=9$

$\theta= \tan^-^1 (\frac{0}{9} )\\\\=0$

b) Convert $(18,\frac{18}{\sqrt{3} } )$ to polar coordinates ( r, θ)

$r = \sqrt{18^2+(\frac{18}{\sqrt{3} })^2 } \\\\=\sqrt{324+108} \\\\=\sqrt{432}$

$\frac{x}{y} \theta = \tan^-^1(\frac{\frac{18}{\sqrt{3} } }{18} )\\\\= \tan ^-^1(\frac{1}{\sqrt{3} } )\\\\= \frac{\pi}{6}$

c) converts (-5, 5) to polar coordinates ( r , θ)

$r =\sqrt{(-5)^2+(5)^2} \\\\=\sqrt{50} \\\\=5\sqrt{2}$

$\theta=\tan^-^1(\frac{5}{-5} )\\\\= \tan^-^1(-1)\\\\=\frac{3\pi}{4}$

d) converts (-1, √3) to polar coordinates ( r , θ)

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

$\theta=\tan^-^1(\frac{\sqrt{3} }{-1} )\\\=\tan^-^1(-\sqrt{3} )\\\\=\frac{2\pi}{3}$

$= \frac{2\pi}{\sqrt{3} }$

6 0

2 years ago

Artist 52 [7]

Answer:

52/79

Step-by-step explanation:

One costume = 156 (This is our numerator.)

All visitors = 156 + 58 + 23 = 237 (This is our denominator.)

156/237

Find the GCF to simplify (sneak peek it's 3)

156/3 = 52

237/3 = 79

52/79 (tada!)

4 0

2 years ago

On this corrdinate plane UVW has been transformed to form image U’ V’ W’.

egoroff_w [7]

Answer:

Step-by-step explanation:

Translate the image 2 units right and 1 unit up. Then rotate the image 180°.

Take the coordinate W, it is at (2, 4).

Translate 2 units right (add 2 to the x coordinate) and 1 up (add 1 to the y coordinate)

(2, 4) ------> (2 + 2, 4 + 1) -------> (4, 5)

A rotation of 180° (doesn't matter the direction) makes the coordinates their opposites. Positives become negatives and negatives become positive.

(4, 5) -------> (-4, -5)

8 0

1 year ago

URGENT!!! anyone know this? 10 POINTS!

stiks02 [169]

I tried my best at it and my guess is that in standard form is 0.00086

5 0

2 years ago

What is three ways to express 3^5 as a product of powers

schepotkina [342]

Three ways to express it as a product of powers are:

3x3x3x3x3

3^5

243

Hope I helped!

Good Luck!

3 0

2 years ago