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alexira [117]
3 years ago
5

Solve for x. Round your answer to two decimal places. Show your work for full credit.

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

x ≈ 14.30

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define variables</u>

∅ = 39°

opposite leg = 9

hypotenuse = x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                              sin39° = 9/x
  2. Multiply <em>x</em> on both sides:       xsin39° = 9
  3. Isolate <em>x</em>:                                 x = 9/sin39°
  4. Evaluate:                                 x = 14.3011
  5. Round:                                    x ≈ 14.30
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Read 2 more answers
B) 2x² - 4x + 3 = 0<br> a) x² + 3x – 10 = 0
kozerog [31]

Answer:

a. x = 2 , x = -5

b. no real roots

Step-by-step explanation:

<u>a. x² + 3x – 10</u>

= x² - 2x + 5x - 10

= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)

= (x - 2) (x + 5)

x - 2 = 0                            x + 5 = 0

 + 2    +2                             -5     -5

--------------                         ---------------

x = 2                                   x = -5

x = 2 , x = -5

<u>b. 2x² - 4x + 3 </u>

This can't be solved because the equation has no real roots, and also the discriminant is negative.

3 0
3 years ago
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