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pochemuha
3 years ago
5

The rectangle is 20 by 16 and the scale factor is 0.25. What are the dimensions of the reduced rectangle?

Mathematics
1 answer:
alekssr [168]3 years ago
3 0

Answer:

5 by 4

Step-by-step explanation:

0.25 x 20 = 5

0.25 x 16 = 4

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Use technology to create an appropriate model of the data.
Citrus2011 [14]

Answer:

f(x) = 3x - 3

Step-by-step explanation:

Plug into TI-83/84 calculator.

Hit STAT

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Y-Values go in for L2

Hit STAT

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Hit #4 for LinReg (Finds line of best fit)

Enter all the way through

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7 0
3 years ago
Read 2 more answers
One number is three more than twice another, the sum of the numbers is 12. find the two numbers
Alenkasestr [34]
The numbers are:  "3" and "9" .
_______________________________________________________
Explanation:
_______________________________________________________
Let "x" represent one of the two (2) numbers.

Let "y" represent the other one of the two (2) numbers.

x = 2y + 3  ;

x + y = 12 .
__________________________
Method 1)
__________________________
x = 12 <span>− y ; 

Plug this into "x" for "2y + 3 = x" ;

</span>→ 2y + 3 = 12 <span>− y ; 
</span>
Add "y" to each side of the equation; & subtract "3" from each side of the equation ;

→ 2y + 3 + y − 3 = 12 − y + y <span>− 3 ;
</span>
to get:  3y = 9 ;

Divide each side of the equation by "3" ; 
to isolate "y" on one side of the equation; & to solve for "y" ;

             3y / 3 = 9 / 3 ;

               y = 3 .
____________________________
Now:  x = 12 − y ;  Plug in "3" for "y" ; to solve for "x" ;

    →   x = 12 − 3 = 9
____________________________
So;  x = 9,  y = 3 .
____________________________
Method 2) 
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When we have:
____________________________
x = 2y + 3  ;

x + y = 12 .
____________________________
 →  y = 12 − x ;
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Substitute "(12−x)" for "y" in the equation:

" x = 2y + 3 " ;

→ x = 2(12 − x) + 3 ; 
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Note the "distributive property of multiplication" :
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  a(b + c) =  ab + ac ;

  a(b − c) = ab − ac ;
_____________________________________
As such:
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     →  2(12 − x) = 2(12) − 2(x) = 24 − 2x ; 
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So; rewrite:
_____________________________________
        x = 2(12 − x) + 3 ;
as:
_____________________________________
  →  x = 24 − 2x + 3 ;

  →  x = 27 − 2x ;

Add "2x" to each side of the equation:

 →  x + 2x = 27 − 2x + 2x ;

 →  3x = 27 ;

Divide each side of the equation by "3" ;
    to isolate "x" on one side of the equation; & to solve for "x" ;

      3x / 3 = 27 / 3 ;

        x = 9 .
___________________________
Note:  "y = 12 − x" ;  Substitute "9" for "x" ; to solve for "y" ;

→  y = 12 − 9 = 3 ;

→  y = 3 .
__________________________
So,  x = 9 ; and y = 3.
____________________________
The numbers are:  "3" and "9" .
_____________________________
To check our answers:
Let us plug these numbers into the original equations;
   to see if the equations hold true ; (i.e. when, "x = 9" ; and "y = 3"
_____________________________
  → x + y = 12 ; 

   → 9 + 3 =? 12 ?  Yes!
_____________________________
 
   → x = 2y + 3 ;

   → 9 =? 2(3) + 3 ?? ; 

   → 9 =?  6 + 3 ?  Yes!!
_____________________________

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vlada-n [284]
<span>The answer to this question is Step 7.
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</span>
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Leona [35]

Answer:

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Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

--

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

3 0
3 years ago
The sum of the measures of the interior angles is 1,440 degrees.
Mariana [72]
Should be 10 sides, each interior angle being 144.
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3 years ago
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