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3 years ago

The product of (3 + 2i) and a complex number is (17 + 7i)

1 answer:

8 0

<span> Of course you're looking for the ratio: (17+7i)/(3+2i). To get a clear number, you need to get a real number at the denominator -- and it so happens that the product of two complex conjugates is a real number. So, you multiply the denominator and the numerator by the conjugate of 3+2i. The denominator becomes 13 and the numerator becomes 51 + 7i. Hence, the multiplier is 51/13 + 7/13 i. </span>

<span>As a side note, while you probably knew how to factor a difference of squares, I just showed how to factor a sum of squares: a^2 + b^2 = (a + bi)(a - bi). That holds because i^2 = -1.

Hope this's useful/helpful !!!^_~!!!</span>

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18÷1,242 long division

vladimir2022 [97]

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3 years ago

what is the y-intercept of the equation of the line that is perpendicular to the line y=3/5x+10 and passes through the point (15

ohaa [14]

The slope of the given line is the coefficient of x, 3/5. The slope of the perpendicular line will be the negative reciprocal of that: -1/(3/5) = -5/3.

The point-slope form of the equation for a line of slope m through point (h, k) can be written ...

... y = m(x -h) +k

For your point and the slope found above, this becomes

... y = (-5/3)(x -15) -5

When x=0, this is

... y = (-5/3)(-15) -5 = 20

The y-intercept is 20.

3 0

4 years ago

Which of the following is not the same as positive 7?

bekas [8.4K]

Seven units to the left of the 0 on a number line would = -7 thus answer 3 being the correct answer

3 0

3 years ago

Read 2 more answers

If x+1/x = 5 find the value of x^3 +1/x^3. pls solve

Korolek [52]

Answer:

1) solve x+1/x = 5

$\frac{x + 1}{x} = 5$

$x + 1 = 5x$

$x - 5x = - 1$

$- 4x = - 1$

$x = \frac{ -1}{ - 4}$

$x = \frac{1}{4}$

2) solve x³+1/x³

$x {}^{3} + \frac{1}{x {}^{3} }$

substitute x = 1/4 into the expression

$( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} }$

$\frac{1}{64} + \frac{1}{ \frac{1}{64} }$

$\frac{1}{64} + \frac{64 \times 1}{1}$

$\frac{1}{64} + 64$

$\frac{4097}{64} \: or \: 64.02$

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3 years ago

Write a summary can Smartphones improve student lives? why or why not ( in your own words )

bonufazy [111]

Answer:

Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.

Step-by-step explanation:

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3 years ago