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zlopas [31]
2 years ago
15

Please Help I’m in a test!!!!!

Mathematics
1 answer:
Semenov [28]2 years ago
5 0

Answer:

undefined

Step-by-step explanation:

The x coordinates didn't change so the line is vertical and vertical lines have undefined slope

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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).

__

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
I need help understanding square roots
Vlad [161]

I wonder if you mean to write \sqrt[3]{256} in place of 3\sqrt{256}...

If you meant what you wrote, then we have

\sqrt{256}=\sqrt{16^2}=16

3\sqrt{256}=3\cdot16=48

If you meant to write \sqrt[3]{256} (the cube root of 256), then we could go on to have

\sqrt[3]{256}=\sqrt[3]{16^2}=\sqrt[3]{(4^2)^2}=\sqrt[3]{4^4}=\sqrt[3]{4^3\cdot4}=4\sqrt[3]4

6 0
3 years ago
A cylinder has a volume of 245 cubic units and a height of 5 units. The diameter of the cylinder is
Vikki [24]

Answer:

The diameter is twice that, or approx. 7.90 units.

Step-by-step explanation:

the equation for the volume of a cylinder of radius r and height h is

V = πr²h.  Here we need to calculate the diameter after having found the radius.  Solving V = πr²h for r², we get:

           V

r² = -----------

         πh

Substituting the given values, we obtain for r² the following:

         145 units³

r² = ------------------------  = 15.6 units²

       3.14159(5 units)

Taking the square root of both sides, we get:

r = √15.60, or approx. 3.95 units.

The diameter is twice that, or approx. 7.90 units.

3 0
3 years ago
Read 2 more answers
Which is equivalent to square root 10st x square root 15tu
aivan3 [116]

\sqrt{10st}\cdot\sqrt{15tu}=\sqrt{10st\cdot15tu}=\sqrt{150st^{2}u}=\sqrt{25\cdot6\cdot st^{2}u} =   \\\\= \sqrt{5^{2} \cdot t^{2}\cdot6 \cdot su}=5t\sqrt{6su}

4 0
3 years ago
Abby buys 4 pencils and 2 erasers for 3.58. Michael buys 1 pencil and 6 erasers for 2.49. What is the cost of 1 pencil and 1 era
Dimas [21]

Answer:

pencils= .75 erasers= .29¢

Step-by-step explanation:

7 0
3 years ago
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