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Sholpan [36]
2 years ago
15

Quadratic equations w complex roots x2 - 6x + 12 = 0

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

x = 3 ± i \sqrt{3}

Step-by-step explanation:

Given

x² - 6x + 12 = 0 ( subtract 12 from both sides )

x² - 6x = - 12

Using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 12 + 9

(x - 3)² = - 3 ( take the square root of both sides )

x - 3 = ± \sqrt{-3} = ± i \sqrt{3} ( add 3 to both sides )

x = 3 ± i \sqrt{3}

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Solve s=2(lw+lh+wh) for w
Scilla [17]

                                                                   s = 2(lw + lh + wh)

Divide each side by  2 :                            s/2 = lw + lh + wh

Subtract 'lh' from each side:                s/2 - lh = lw + wh

Combine the 'w' terms:                        s/2 - lh = w(l + h)

Divide each side by (l + h):  (s/2 - lh) / (l + h) = w

7 0
3 years ago
I need help I cant figure them out and they are due in 2 hours.
Vikki [24]

Answer: something

Step-by-step explanation:

Cant see the attatchment

4 0
3 years ago
What survival rate in the 10th year would make the average of loss over the 10 year period equal to 38.0%
Marat540 [252]

Answer: 63%

Step-by-step explanation:

<u>First step</u>

Find the 10th year rate of loss that will make the average of loss over the 10 years to equal 38.0%.

Assume this rate is x;

\frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10} = 38.0\\\\\frac{343 + x}{10}  = 38\\\\x  = 380 - 343\\\\x = 37

x = 37%

<u>Second step - Survival rate</u>

The survival rate is calculated by;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
2 years ago
Can someone check this out to see if I have this correct? If not can you help me out please? Thank you! The answers are on 2nd p
nataly862011 [7]

Answer:

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Step-by-step explanation:

The two column proof is presented as follows;

Statement  {}                               Reason

1. ∠SWT ≅ ∠TWU {}                    Given

2. m∠SWT + m∠TWU = 180°  {}  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° {}    Substitution

4. m∠SWT = 90°  {}                      Algebra

5. \underset{TV}{\leftrightarrow }⊥ \underset{SU}{\leftrightarrow } {}                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } m∠SWT = 90°, therefore, the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } are perpendicular to each other.

3 0
3 years ago
Please help I’ll mark ad brainliest
Svetach [21]
A=lw. Is the answer. Hope it helps
5 0
3 years ago
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