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2 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then b=

Mathematics

1 answer:

max2010maxim [7]2 years ago

6 0

Answer:

b = -1/10.

Step-by-step explanation:

(2i/2+i)-(3i/3+i)

= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)

= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)

= (-2 + 3) / (6 + 5i - 1)

= 1 / (5 + 5i)

Now we multiply top and bottom by 5 - 5i :

= 5 - 5i / (5 + 5i)(5 - 5i)

= 5 - 5i / 25 -25i^2

= 5 - 5i / 50

= 1/10 - 1/10i

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2 years ago

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lapo4ka [179]

Answer:

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1 year ago

Can someone help me with this?

jekas [21]

Answer:

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Step-by-step explanation:

Circle is centred at (0, -2)

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1 year ago

Given that

NeX [460]

Answer:

R = 4x + 8y

-8y = 4x - R

-8y = 4(4) - 32

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-8y = -16

we divide through by -8

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Hope this will help

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2 years ago

Neptune's average distance from the sun is 4.503 × 109 km. mercury's average distance from the sun is 5.791 × 107 km. about how

vladimir1956 [14]

Neptune's distance from the sun is d₁ = 4.503 x 10⁹ km.
Mercury's distance from the sun is d₂ = 5.791 x 10⁷ km.

Calculate the number of times d₁ is greater than d₂.
$\frac{d_{1}}{d_{2}} = \frac{4.503 \times 10^{9}}{5.791 \times 10^{7}} = 77.75859$

Answer: 7.7759 x 10⁻¹ times

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2 years ago