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Art [367]
3 years ago
8

5.

Mathematics
1 answer:
vampirchik [111]3 years ago
4 0

Answer:

b. postulate: if a plane contains a line, it contains the point of the line

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Horizontal lines are __________ perpendicular to vertical lines. question 10 options:
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A. Always
These lines<span> are </span>perpendicular<span> since their slopes are negative reciprocals.</span>
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3 years ago
Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st
krok68 [10]

The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

z\cdot \bar z = 2^{2} + 3^{2}

z\cdot \bar z = 13

To learn more on complex numbers: brainly.com/question/10251853

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6 0
2 years ago
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount le
Alborosie

Answer:

-66

Step-by-step explanation:

There will be $66 left after the $12 spent on lunch. 66 + -66 = 0

7 0
3 years ago
Read 2 more answers
What is 0.688 as a percent
MissTica
68.8% is your answer

when changing a decimal to a percentage, move the decimal point twice over

hope this helps
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Factor completely: x^2 - 5x - 6
Tom [10]

Answer:

x×x-5x-6

x × -4X - 6

Step-by-step explanation:

x×x-5x-6

x × -4X - 6

6 0
3 years ago
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