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Bess [88]
3 years ago
15

What is the product of z1 and z2 if

Mathematics
1 answer:
MaRussiya [10]3 years ago
8 0

Answer:

308[cos(45) + isin(45)]

Step-by-step explanation:

z1×z2:

Modulus: r1 × r2

= 7×44 = 308

Argument: theta1 + theta2

= -70 + 115 = 45

z1z2 = 308[cos(45) + isin(45)]

Or

z1z2 = 154sqrt(2) + (i)154sqrt(2)

sqrt: square root

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stellarik [79]

\huge\text{Hey there!}

\rm{-2x + 4 > 8}

\large\textsf{SUBTRACT  4 to BOTH SIDES}

\rm{-2x + 4 - 4 > 8 - 4}

\large\textsf{CANCEL puts 4 - 4 because that gives you 0}

\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}

\rm{8 - 4 = \boxed{\bf 4}}

\rm{NEW\  EQUATION: -2x > 4}

\large\textsf{DIVIDE -2 to BOTH SIDES}

\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}

\mathsf{CANCEL\  out: \dfrac{-2}{-2}\  because\  that\  gives\  you\  1}

\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\  to \  the \ x-value }

\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}

\rm{\bold{x < -2 }}

\rm{It\ is \ an\  O PENED \ circle \  shaded \  to \ the \ left \ side \ of \ the \ number  \ line}

\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark

\large\text{Good luck on your assignment and enjoy your day!}

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8 0
2 years ago
Latoya runs 12 miles in 75 minutes. how many miles does she run per minute?
Burka [1]

12 ÷ 75 = 0.16.

So she runs 0.16 miles per minute.

Hope it helps!

5 0
3 years ago
Solve the linear equation. 8x+32=1/5(25x−15)−4x
Kipish [7]

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Step-by-step explanation:

8x+32=1/5(25x−15)−4x

8x + 32 = <u>25x -15</u> - 4x   <u><em>- 25x -15/  5</em></u>

                    5

8x + 32 = 5x -3 - 4x

8x + 4x - 5x = -32 - 3

7x =-35

x = 35/7

x= 5

5 0
3 years ago
A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7
aev [14]

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

4 0
2 years ago
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