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elena-14-01-66 [18.8K]
3 years ago
5

Determine the rational roots of 2x^5-11x^4+14x^3-2x^2+12x+9=0. Select all that apply.

Mathematics
1 answer:
AlekseyPX3 years ago
7 0
The roots are G and A
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Step-by-step explanation:

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Geometry Pythagorean theorem
lara31 [8.8K]

Answer:

Below!

Step-by-step explanation:

Using Pythagoras theorem, I will solve all of the problems.

<h3>________________________________________________</h3>

<u>Question 9:</u>

  • 10² = 6² + x²
  • => 100 = 36 + x²
  • => 100 - 36 = x²
  • => 64 = x²
  • => x = 8
<h3>________________________________________________</h3>

<u>Question 10:</u>

  • 26² = 24² + x²
  • => 676 = 576 + x²
  • => 676 - 576 = x²
  • => 100 = x²
  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

  • 15² = 12² + x²
  • => 225 = 144 + x²
  • => 225 - 144 = x²
  • => 81 = x²
  • => x = 9
<h3>________________________________________________</h3>

<u>Question 12:</u>

  • x² = 8² + 12²
  • => x² = 64 + 144
  • => x² = 208
  • => x = √208
  • => x = 14.2 (Rounded)
<h3>________________________________________________</h3>

<u>Question 13:</u>

  • 7² = 2² + x²
  • => 49 = 4 + x²
  • => 49 - 4 = x²
  • => 45 = x²
  • => x = √45
  • => x = 6.7 (Rounded)
<h3>________________________________________________</h3>

<u>Question 14</u>

First, let's solve for the variable x using Pythagoras theorem.

  • => 5² = 3² + x²
  • => 25 = 9 + x²
  • => 16 = x²
  • => x = 4 units

Now, let's solve for the variable y using Pythagoras theorem.

  • (3 + 6)² = 5² + y²
  • => (9)² = 25 + y²
  • => 81 = 25 + y²
  • => y² = 56
  • => y = √56
  • => y = 7.5 (Rounded) units

Answers (Nearest tenth):

  • x = 4 units
  • y = 7.5 units
<h3>________________________________________________</h3>

<u>Question 15:</u>

First, let's find the value of the variable y using Pythagoras theorem.

  • 8² = 6² + y²
  • => 64 = 36 + y²
  • => 28 = y²
  • => y = √28
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Now, let's find the value of the variable x using multiplication.

  • x = 2y
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Answer (Nearest tenth)

  • x = 10.6 units
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<h3>________________________________________________</h3>
5 0
2 years ago
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Step-by-step explanation:

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3 years ago
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A wagon is on sale for 20% off. The sale price of the wagon is $114. What was the original price of the wagon, assuming no sales
Sphinxa [80]

The 114 represents 80% of the total price before the sale. You would set up your equation as

Cost Price * 80% = Sale Price.

Sale Price = 114

80% = 80/100 = 0.8

Cost Price = 114/0.8

Cost Price = 142.50 which is the price before the deduction. You can confirm this by taking 20% of 142.50 and subtracting it form 142.50

20% * 142.50

20/100 * 142.50

2850/100

28.50

Now subtract 28.50 from 142.50

142.50 - 28.50 = 114 which is just what you might expect.

5 0
4 years ago
Read 2 more answers
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