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zlopas [31]
3 years ago
14

The roots of an equation are x = -1 ± i. The equation is: x2 + _____ + 2 = 0.

Mathematics
1 answer:
Serhud [2]3 years ago
4 0

Answer:

x² + 2x + 2 = 0

Step-by-step explanation:

Given that the roots are x = - 1 + i and x = - 1 - i

Then the factors are

(x - (- 1+ i))(x - (- 1 - i)

= (x + 1 - i)(x + 1 + i) ← expand factors

= (x + 1)² - i² → note i² = - 1

= x² + 2x + 1 + 1

= x² + 2x + 2

Equation is x² + 2x + 2 = 0

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Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.
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Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

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Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

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Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

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Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

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Part (e)

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<h3>Answer: 21/100</h3>

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Part (f)

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2 years ago
Point Coordinate
telo118 [61]

Step 1:

First, let's order the number from least to greatest.

A. -0.31

B. -0.33

C. -0.38

D. -0.29

We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.

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B. -0.33

A. -0.31

D. -0.29

Step 2:

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Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29

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How can you tell whether the parabola had a vertical or horizontal shift?
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