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Nadya [2.5K]
3 years ago
8

Solve for x. y=7x−7z−9

Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
6 0
You have to isolate the variable so you need to add 7z and 9 to both sides. You then get y+ 7z+ 9= 7x. Then divide 7x from both sides. The equation becomes x= y/7+ z + 9/7.
I hope this helps love! :)
AleksandrR [38]3 years ago
5 0

Answer:

The value of x is x=\frac{y+7z+9}{7}

Step-by-step explanation:

Consider the provided equation.  

y=7x-7z-9

We need to solve the equation for x.

Add 7z to both the sides.

y+7z=7x-7z+7z-9

y+7z=7x-9

Add 9 to both the sides.

y+7z+9=7x-9+9

y+7z+9=7x

Divide both sides by 7.

x=\frac{y+7z+9}{7}

Hence the value of x is x=\frac{y+7z+9}{7}.

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Answer:

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Step-by-step explanation:

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-b/2a = -(211)/2(-4.9) = 21.53

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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
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  • => x = 10
<h3>________________________________________________</h3>

<u>Question 11:</u>

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

<u>Question 14</u>

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

  • => 5² = 3² + x²
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  • => 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
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  • => y² = 56
  • => y = √56
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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
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Now, let's find the value of the variable x using multiplication.

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Answer (Nearest tenth)

  • x = 10.6 units
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<h3>________________________________________________</h3>
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Step-by-step explanation:

<u>Statements                                                  Reasons                                    </u>

1 . ∠ABC and ∠CBD are a linear pair         Given

2. m∠CBD = m∠EFG                                   Given

3 . ∠ABC and ∠CBD are supplementary   Definition of linear pair

4. m∠ABC + m∠CBD = 180°                        Definition of supplementary

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6. ∠ABC and ∠CBD are supplementary    Definition of supplementary

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