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Zarrin [17]
3 years ago
14

What is the sum of complex numbers 2+3i and 4+8i, where i= square root -1

Mathematics
1 answer:
bearhunter [10]3 years ago
3 0

Answer:

6+11i

Step-by-step explanation:

2+3i  +  4+8i

Add the real parts

2+4 = 6

And the imaginary parts

3i+8i = 11i

The complex number is the real plus the imaginary

6+11i

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Answer:

0

Step-by-step explanation:|-2 - (-1)| =

|-2 + 1| =

| -1 | =

1.

 

So, we're one unit away from y = -1.  If we're one unit ABOVE y=-1, we need to move the point to be one unit BELOW it instead.  And if we're one unit BELOW y = -1, we need to move the point to be one unit ABOVE it.  

 

Since the point has a y-coordinate of -2, its BELOW the line y = -1, by 1 unit.  Now we change the y-coordinate so its instead ABOVE y = -1, by 1 unit:

 

(y-coordinate of reflection line) + (number of units above that line) =

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Our new y-coordinate is 0, so the point is now at

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A more mechanical, but less intuitive approach is as follows:  

Let L = the y-coordinate of the line, and

P = the y-coordinate of the point.

The new y-coordinate is 2L - P.

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2L - P =

2(-1) - (-2) =

-2 -(-2) =

0.

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2 years ago
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3 years ago
One solution to a quadratic function, h, is given.
Margaret [11]

Answer:

B. The other solution to function h is -4-i\,7.

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form a\cdot x^{2}+b\cdot x + c has solutions of the form:

x = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}, where both are complex if and only if \sqrt{b^{2}-4\cdot a \cdot c}< 0.

Hence, if one solution of the quadratic function is -4+i\,7, then the other solution is -4-i\,7. The correct answer is B.

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3 years ago
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Gnesinka [82]

Answer:

Donda

Step-by-step explanation:

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Firlakuza [10]
Mode (most occurring) - 4
mean (average) - 8
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3 years ago
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