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3 years ago

If (x+yi)(1-3i)=10 Then x+y=

Mathematics

1 answer:

Naily [24]3 years ago

7 0

Answer:

x + y = 4

Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

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What’s equivalent to 1/3 with the denominator of 6

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Answer:

2/6

Step-by-step explanation:

Ok, so if the fraction is 1/3 and the denominator needs to be 6, then what you do is figure out what would turn 3 into 6. So, 3 x 2 would equal 6 and then you would have to also keep that two and multiply that 2 with the 1 and you would get 2. That would lead to the numerator being 2 and the denominator being 6, or 2/6.

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3 years ago

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3 years ago

Which of the triangles are right triangles?

rewona [7]

Answer:

Number 1 is a right triangle

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Step-by-step explanation:

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3 years ago

You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s a

d1i1m1o1n [39]

Answer:

I am will take 20 years to get 20$

My friend will take 10 years to get 20$

Step-by-step explanation:

$Let \: the \: no. \: of \: years : x \\ \\ for \: me \\ x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years$

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3 years ago

Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price

soldi70 [24.7K]

Answer: 6

<u>Step-by-step explanation:</u>

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

<em>Remember that Mrs. Lim bought another plate for $18</em>

Total cost ÷ Total plates = Average Cost

$\dfrac{6x+18}{x+1}=8\\$

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

18 = 2x + 8

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5 = x

y = x + 1

= 5 + 1

= 6

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3 years ago