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Flura [38]
3 years ago
12

what is the slope of the line that passes through the points (4,10) and (1,10) write your answer in simplest form​

Mathematics
1 answer:
kipiarov [429]3 years ago
8 0

Answer:

all work is shown and pictured

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In 2012, the population of Houston, Texas, was about 2 × 106 and the population of San Marcos, Texas, was about 5 × 104. Which o
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How do you factor this polynomial as a product of more than two factors?<br> x3+8x2+15x
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3 years ago
1.Solve the equation. Check for extraneous solutions.
elena55 [62]
Okay so I did the math. 

1. Two solutions were found :<span><span> 
z=-1
</span><span>z=2/3
</span></span><span>Step  1  :</span>Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |2z-3| = 4z-1 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |2z-3|

 </span>For the Negative case we'll use -(2z-3) 

For the Positive case we'll use (2z-3) 

<span>Step  3  :</span>Solve the Negative Case

      -(2z-3) = 4z-1 

     Multiply
      -2z+3 = 4z-1 

     Rearrange and Add up
      -6z = -4 

     Divide both sides by 6 
      -z = -(2/3) 

     Multiply both sides by (-1) 
      z = (2/3) 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (2z-3) = 4z-1 

     Rearrange and Add up
      -2z = 2 

     Divide both sides by 2 
      -z = 1 

     Multiply both sides by (-1) 
      z = -1 
     Which is the solution for the Positive Case
Step  5  :Wrap up the solution

<span> z=2/3
</span><span> z=-1

2. </span>-6 < x < 26/3

<span>Step  1  :</span>Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered
      |3x-4|+5 < 27 

Another term is moved / added to the right hand side.

      |3x-4| < 22 

<span>Step  2  :</span>Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is<span> |3x-4|

 </span>For the Negative case we'll use -(3x-4) 

For the Positive case we'll use (3x-4) 

<span>Step  3  :</span>Solve the Negative Case

      -(3x-4) < 22 

     Multiply
      -3x+4 < 22 

     Rearrange and Add up
      -3x < 18 

     Divide both sides by 3 
      -x < 6 

     Multiply both sides by (-1) 
     Remember to flip the inequality sign 
      x > -6 
     Which is the solution for the Negative Case

<span>Step  4  :</span>Solve the Positive Case

      (3x-4) < 22 

     Rearrange and Add up
      3x < 26 

     Divide both sides by 3 
      x < (26/3) 

     Which is the solution for the Positive Case

<span>Step  5  :</span>Wrap up the solution

    -6 < x < 26/3

Solution in Interval Notation

    (-6,26/3) 

HOPE THIS HELPS :D
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3 years ago
What is the length of the hypotenuse in the right triangle shown below?
Mrrafil [7]

Picture needed. not enough info

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