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attashe74 [19]
3 years ago
11

Solve the equation and enter the value of x below. 6(x + 18) = 9x x = _____

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
8 0

Answer:

6(x + 18) = 9x x = __36__

Step-by-step explanation:

We have the following equation

6(x + 18) = 9x

To solve the equation follow the next steps

1. Apply the distributive property

6x + 6*18 = 9x

6x + 108 = 9x

2. Subtract 6x on both sides of the equation

6x -6x +108 = 9x-6x

108 = 3x

3x= 108

3. Divide both sides of the equation by 3

\frac{3}{3}x= \frac{108}{3}

x= 36

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3 years ago
Geometry Pythagorean theorem
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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.

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

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Answers (Nearest tenth):

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

<u>Question 15:</u>

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  • => 64 = 36 + y²
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  • x = 2y
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Answer (Nearest tenth)

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<h3>________________________________________________</h3>
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3 years ago
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