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Gnesinka [82]
3 years ago
5

Describe the points with a double inequality. I need the answer quick. Thanks!

Mathematics
1 answer:
Dominik [7]3 years ago
8 0

Answer:

- 3 \:  <  \: x \:   <  \: 13

Step-by-step explanation:

We want to describe the solution set on the number line as an inequality.

We have open circles at both ends.

This means the inequalities are not the ones containing equal sign.

The number line started from -3 and ended at 13 non inclusive.

This means the solution set for the inequality are all real numbers greater than -3 but less than 13.

We write this as:

- 3 \:  <  \: x \:   <  \: 13

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Write the complex number in polar form:
emmasim [6.3K]

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0
3 years ago
Perform the indicated operation and write the answer in the form a + bi. (–1 + 5i) + (3 + 7i)
pashok25 [27]

Answer:

12i + 2

Step-by-step explanation:

Combine like terms.

-1 + 3 = 2

5i + 7i = 12i

12i + 2 is your answer.

~

5 0
3 years ago
What is the solution to this system of linear equations? 12q + 3r = 15 –4q – 4r = –44 (–18, 29) (–2, 13) (8, –1) (15, –44)
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Answer:

(-2,13)

I believe this is the answer.

8 0
3 years ago
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lana [24]

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

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Find the value of x if AB || CD
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x = (180 - 55) + (180 - 25) = 280°



Answer: x = 280°

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