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What is the area, in square units, of the interior region formed by the lines  and the -axis?

 Jun 18, 2021
 #1
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What is the area, in square units, of the interior region formed by the lines  y=2x-4, y=-3x+16, and the y-axis?

 Jun 18, 2021
 #2
avatar+33564 
+3

First....graph the given info (see diagram below)

then you will see a triangle   with 'base' of  20    and 'height'     of  4  

    can you compute the area of a triangle   ( 1/2 b h ) ?

 

 

 

 Jun 18, 2021
 #3
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so the answer is 40? thanks!

Guest Jun 18, 2021
 #5
avatar+121000 
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Sorry, EP.....I didn't   see your  answer  .......mine is a  carbon -copy......!!!!

 

cool cool cool

CPhill  Jun 18, 2021
 #6
avatar+33564 
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Great minds think alike......    and ours do too!     Glad we at least arrived at the same answer....it might be correct .      LOL      ~EP

ElectricPavlov  Jun 18, 2021
 #4
avatar+121000 
+2

See the  graph here  : 

 

We  have  a triangle  with  a base of  (16  - - 4)   =20 units     and a  height of  4  units

 

The area  is     (1/2) ( 20) ( 4)   =     40  units^2

 

 

cool cool cool

 Jun 18, 2021

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