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VikaD [51]
3 years ago
12

Find the complex conjugate of Z = a + 2i + 3ib​

Mathematics
1 answer:
Neko [114]3 years ago
5 0

Answer:

Z = a - 2i - 3ib

Step-by-step explanation:

The complex conjugate has the expression with the opposite sign for the imaginary part.

Complex conjugate of Z=a + 2i + 3ib is,

Z = a - 2i - 3ib

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What is the factorization of g3 – 125? (g– 5)(g2 5g 10) (g – 25)(g2 25g 625) (g – 5)(g2 5g 25) (g – 25)(g2 5g 125)?
Dmitry_Shevchenko [17]
For the answer to the question above asking <span>What is the factorization of g3 – 125?
</span>The first term is,  g2  its coefficient is  1.
The middle term is,  +5g  its coefficient is <span> 5 </span>.
The last term, "the constant", is <span> +25 
</span>
Multiply the coefficient of the first term by the constant   1 • 25 = 25<span> 
</span>Find two factors of  25  whose sum equals the coefficient of the middle term, which is   5.<span> Since there are no factors.
The answer will be,
</span>
<span>(g - 5) • (g2 + 5g + 25)</span>
8 0
4 years ago
Read 2 more answers
I need help, has to be turned in tomorrow morning!
Kipish [7]

Answer: (5,5)

Step by step explanation:

We have the two equations

-7x + y = -30 and y = 2x - 5

one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x

-7x + y = -30

plug in y = 2x - 5

-7x + 2x - 5 = -30

combine like terms

-5x - 5 = -30

add 5 to both sides

-5x = -25

divide both sides by -5

-5x/-5 = x and -25/-5 = 5

we're left with x = 5

we now plug in the value of x into one of the equations and solve for y

2x - 5 = y

x = 5

2(5) - 5 = y

multiply 2 and 5

10 - 5 = y

subtract

y = 5

the solution is (5,5)

3 0
3 years ago
Pls help ASAP fast ...
Gnesinka [82]

i donk know                       Step-by-step explanation:

4 0
3 years ago
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Vector z = &lt;5, -3&gt; is subtracted from vector w = &lt;-6, -5&gt;. The magnitude of the resulting vector is approximately __
Digiron [165]

Answer:

11.18\ \text{units}

10.3^{\circ}

Step-by-step explanation:

w=

z=

z is subtracted from w so

w-z=\\\Rightarrow w-z=

Magnitude is given by

\sqrt{(-11)^2+(-2)^2}=5\sqrt{5}=11.18

The magnitude of the resulting vector is approximately 11.18\ \text{units}.

The angle is

\theta=\tan^{-1}\dfrac{-2}{-11}\\\Rightarrow \theta=10.3^{\circ}

The direction is approximately 10.3^{\circ}

8 0
3 years ago
Home heating oil is sold by the gallon. Last winter, the Romano family used 370 gallons of oil at $2.56 per gallon. If the price
belka [17]

Answer:

$1030

Step-by-step explanation:

Last winter:

Total expense = 370 * 2.56 = $947.2

Next year,

price increases 9% per gallon

which means, per gallon cost is $2.7904

Approx. expense = 370 * 2.7904 = $1032.448 which is round down to $1030

4 0
3 years ago
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