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Montano1993 [528]
3 years ago
6

Please explain your answer and I'll mark the Brainliest! Which complex number is the graph showing?

Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

A 2√2(cos 7π/4 + i sin 7π/4)

Step-by-step explanation:

A. 2√2(cos 7π/4 + i sin 7π/4)

2 sqrt(2) ( sqrt(2)/2 - sqrt(2)/2 i)

Distribute

  2-2i

This is in the fourth quadrant  

B. 2√2(cos 150° + i sin 150°)

2 sqrt(2) (-sqrt(3)/2 +1/2i)

-sqrt(6) +sqrt(2) i

This is in the third quadrant (NO)

C. 2(cos 7π/4 + i sin 7π/4)

2( ( sqrt(2)/2 - sqrt(2)/2 i))

sqrt(2) - sqrt(2) i

This is the fourth quadrant

D. 2(cos 90° + i sin 90°)

2(0+i)

2i

This is on the positive y axis  NO

Now we need to decide between the two in the fourth quadrant.

The point has an x coordinate of 2 and a y coordinate of -2

This aligns with point A

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5 0
3 years ago
Read 2 more answers
line segment AB has endpoints A (7.5,4.2) and B (2.3,5.4). Find the coordinates of the point that divides the line segment direc
Marrrta [24]

9514 1404 393

Answer:

  (6.2, 4.5)

Step-by-step explanation:

We want, for some point P, ...

  (P -A) / (B -P) = 1 / 3

  3(P -A) = (B - P) . . . . . multiply by 3

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Filling in the coordinate values, we can find P to be ...

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5 0
3 years ago
Appreciate the support!
andreyandreev [35.5K]

The volume of a rectangular prism is represented by the following equation:

V=w*h*l

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that A=w*h

Using this knowledge, we can change the volume equation to our needs.

V=w*h*l

V=(w*h)*l

V=A*l

Note: We know that A is 16 since it's given

V=16*l

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

208=16*l

Divide both sides of the equation by 16.

13=l

The length is 13 cm.

Let me know if you need any clarifications, thanks!

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Vladimir79 [104]
Your answer will be 3.7w-2
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