horsegal244
  • horsegal244
help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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horsegal244
  • horsegal244
@bemoseemo
bemoseemo
  • bemoseemo
ok so this one I will work you through this one I know a neat trick for it
bemoseemo
  • bemoseemo
so the trick is see the two shorter sides? if you use this it will help find the diagonal side: 5^2+8^2=d^2 and d=diagonal side

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More answers

Michele_Laino
  • Michele_Laino
hint: the requested distance is given by the perimeter of the triangle
bemoseemo
  • bemoseemo
so 25+64=?^2
bemoseemo
  • bemoseemo
if you can figure out ? you have the other side
horsegal244
  • horsegal244
ok so then the completed answer is 7,921?
Michele_Laino
  • Michele_Laino
we have this: distance \(d_1\) between Joan and Kash, is given by the distance between points \((0,6)\) and \((5,-2)\), so we can write: \[{d_1} = \sqrt {{{\left( {5 - 0} \right)}^2} + {{\left( { - 2 - 6} \right)}^2}} = ...?\]
horsegal244
  • horsegal244
Then i rind the square root right?
bemoseemo
  • bemoseemo
25+64+?= total distance traveled and ? = 9.43
horsegal244
  • horsegal244
Is what he is saying right @Michele_Laino?
bemoseemo
  • bemoseemo
oops sry I meant 5+8+?= total distance
Michele_Laino
  • Michele_Laino
yes! we have \(d_1=\sqrt{89}=9.43\)
horsegal244
  • horsegal244
13?
horsegal244
  • horsegal244
so 9 miles?
bemoseemo
  • bemoseemo
so add those together and you should have your answer 5+8+9.43= 22.43 miles
horsegal244
  • horsegal244
so then is the answer 9 or 22
bemoseemo
  • bemoseemo
22 if you round
horsegal244
  • horsegal244
ok ty
Michele_Laino
  • Michele_Laino
now we have to add these distances: distance between Joan and Gary, which is \(d_2=5-0=5\) and the distance between Kash and Gary, which is \(d_3=6-(-2)=8\) so we have: total distance = 9.43+5+8=...? and the answer of @bemoseemo is right!
horsegal244
  • horsegal244
i believe it is 4
Michele_Laino
  • Michele_Laino
here the requested distance is given by the distance between points \((0,2)\) and \((-3,-2)\), so we have: \[d = \sqrt {{{\left( { - 3 - 0} \right)}^2} + {{\left( { - 2 - 2} \right)}^2}} = \sqrt {9 + 16} = ...?\]
horsegal244
  • horsegal244
27
horsegal244
  • horsegal244
and the square root is 5
Michele_Laino
  • Michele_Laino
that's right! we can write this: \[\begin{gathered} d = \sqrt {{{\left( { - 3 - 0} \right)}^2} + {{\left( { - 2 - 2} \right)}^2}} = \sqrt {9 + 16} = \hfill \\ \hfill \\ = \sqrt {25} = 5 \hfill \\ \end{gathered} \]
horsegal244
  • horsegal244
This is the second to last one
horsegal244
  • horsegal244
that i need help with
Michele_Laino
  • Michele_Laino
here we have to apply the same formula, since such exercise, asks for the distance between points \((0,6)\) and \((7,-2)\), so we can write this: \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( {7 - 0} \right)}^2} + {{\left( { - 2 - 6} \right)}^2}} = \sqrt {49 + 64} = ...? \hfill \\ \end{gathered} \]
horsegal244
  • horsegal244
113 and the sqaure root is 10.63
Michele_Laino
  • Michele_Laino
that's right!
bemoseemo
  • bemoseemo
yep
horsegal244
  • horsegal244
horsegal244
  • horsegal244
is it b?
Michele_Laino
  • Michele_Laino
again we have to apply this formula: \[d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} \] so, we can write: \[\begin{gathered} d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\ \hfill \\ = \sqrt {{{\left( {4 - \left( { - 4} \right)} \right)}^2} + {{\left( {6 - \left( { - 2} \right)} \right)}^2}} = \sqrt {{8^2} + {8^2}} = \hfill \\ \hfill \\ = \sqrt {64 + 64} = ...? \hfill \\ \end{gathered} \]
horsegal244
  • horsegal244
lol 128 square root = 11.31
horsegal244
  • horsegal244
so D
bemoseemo
  • bemoseemo
it should be d but I see how you may have gotten b
Michele_Laino
  • Michele_Laino
That's right!
horsegal244
  • horsegal244
thank you @Michele_Laino and @bemoseemo so much
Michele_Laino
  • Michele_Laino
:)
bemoseemo
  • bemoseemo
no problem :D
bemoseemo
  • bemoseemo
I game you a medal @Michele_Laino I definitely could not have explained as thorough as you did

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