anonymous
  • anonymous
Coordinates for D. (?,6) C is (10,0) Rectangle ABCD. A(2,14) B(-2,8) C(10,0) D(?,6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
earlier we found line BC to be \[\Large y = -\frac{2}{3}x+\frac{20}{3}\]
anonymous
  • anonymous
Yes, would it be the same for AD?

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jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
but the same steps will be used find the slope of AD (since it's parallel to BC, the two slopes are equal). Then use it to find the equation of line AD
jim_thompson5910
  • jim_thompson5910
you also need the equation for line CD
anonymous
  • anonymous
For AD equation, would it start like: y-14=m(x-2)? m = slope
jim_thompson5910
  • jim_thompson5910
yes and m = -2/3 because AD and BC have the same slope (they are parallel lines)
anonymous
  • anonymous
So, then I can plug in 6 to get the x value for D?
jim_thompson5910
  • jim_thompson5910
not quite
jim_thompson5910
  • jim_thompson5910
you'll need equation CD
jim_thompson5910
  • jim_thompson5910
oh wait, nvm
jim_thompson5910
  • jim_thompson5910
yes you can plug in y = 6. I didn't see D(?,6)
anonymous
  • anonymous
Yeah, sorry, with my packet, I have image of it showing the C point being on 0. So, helped me determine the distance for the AD y and what to subtract.
anonymous
  • anonymous
-2/3 * -2 would be 12/3?
jim_thompson5910
  • jim_thompson5910
-2/3 * -2 = 4/3
anonymous
  • anonymous
6-14=-2/3(x-2) -8=-2/3x + 4/3 It ends up being: 6 = -2/3x + 28/3 right?
jim_thompson5910
  • jim_thompson5910
good
jim_thompson5910
  • jim_thompson5910
now solve for x
anonymous
  • anonymous
x=5?
jim_thompson5910
  • jim_thompson5910
no
jim_thompson5910
  • jim_thompson5910
oh I see what went wrong
jim_thompson5910
  • jim_thompson5910
When you went from -8=-2/3x + 4/3 to 6 = -2/3x + 28/3 you made an error the 6 in ` 6 = -2/3x + 28/3` should be 0 so you should have 0 = -2/3x + 28/3
jim_thompson5910
  • jim_thompson5910
it's 0 because you added 8 to both sides the -8 and +8 combine to 0 on the left side
anonymous
  • anonymous
OH. x=14
jim_thompson5910
  • jim_thompson5910
yep D is (14,6)
anonymous
  • anonymous
To be honest, I read my graph wrong aswell, so I was confused. I lack in graphing, but all is well. You really helped and taught me a few things, I hope to remember. (:
jim_thompson5910
  • jim_thompson5910
I'm glad I was of help

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