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2 years ago

Which of the following is equivalent to the expression below? 7(3+4i)

Mathematics

1 answer:

vodomira [7]2 years ago

3 0

$7(3+4i)$ is equivalent to $21+28i$

Option D is correct option

Step-by-step explanation:

We need to find the equivalent to the given expression:

$7(3+4i)$

To solve the expression multiply 7 with the terms inside the bracket

$7(3+4i)\\=7(3)+7(4i)\\=21+28i$

So, $7(3+4i)$ is equivalent to $21+28i$

Option D is correct option

Learn more about complex numbers at:

brainly.com/question/10736268

brainly.com/question/4678474

Keywords: Complex Numbers

#learnwithBrainly

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Complex numbers & DeMoivre's theory If z=-1-√3 i and z^6=a+bi, a=_____ and b=_____

Mice21 [21]

Convert $z$ to exponential/polar/trigonometric form:

$r=|z|=\sqrt{(-1)^2+(-\sqrt 3)^2}=2$

$\tan\theta=\dfrac{-\sqrt3}{-1}\implies\theta=\dfrac{4\pi}3$

$\implies z=-1-\sqrt3\,i=2e^{4\pi/3\,i}=2\left(\cos\dfrac{4\pi}3+i\sin\dfrac{4\pi}3\right)$

By DeMoivre's theorem,

$z^6=\left(2e^{4\pi/3\,i}\right)^6=2^6e^{24\pi/3\,i}=64e^{8\pi\,i}$

$z^6=64\left(\cos8\pi+i\sin8\pi)=64$

so that $a=64$ and $b=0$ .

8 0

3 years ago

I accidentally pressed A

pav-90 [236]

Answer:

D 46x²+ 67x -16

Step-by-step explanation:

adding like terms

R1(x) + R2(x) = 16x²+52x-27 + 30x² + 15x + 11

total = 46x²+ 67x -16

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2 years ago

X³+x²-x-1=? What is the solution for th8s?

Assoli18 [71]

Answer: (x − 1 ) $^{2}$

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2 years ago

Shari is adding these fractions: 1/3 + 1/4 What's her next step?

Arlecino [84]

Her next step is to find a common denominator. Remember that if you multiply a number to the denominator, you'll have to multiply it to the numerator too:

1/3(4/4) + 1/4(3/3)

4/12 + 3/12

Simplify. Combine like terms

4/12 + 3/12 = 7/12

7/12 will be final solution

hope this helps

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2 years ago

Read 2 more answers

4^x+7 = 8^2x-3 Solve each equation showing work please

RUDIKE [14]

If 4=2^2

8=2^3

(2^)2x+10=(2^)6x

(2^)6x-(2^)2x=10

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2 years ago