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VashaNatasha [74]
3 years ago
15

What expression is equivalent to 3(2t + 6) -4t

Mathematics
1 answer:
tekilochka [14]3 years ago
3 0

Answer: 2t + 18

Step-by-step explanation:

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The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
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The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
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Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
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6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
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Answer choice:  [C]:  " 7.2 units" .
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Consider The following pair of equations the two equations are graft at what point do the lines representing the two equations i
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Step-by-step explanation:

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