Question

help

Answer 1

@bemoseemo

Answer 2

ok so this one I will work you through this one I know a neat trick for it

Answer 3

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

Answer 4

hint:
the requested distance is given by the perimeter of the triangle

Answer 5

so 25+64=?^2

Answer 6

if you can figure out ? you have the other side

Answer 7

ok so then the completed answer is 7,921?

Answer 8

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:
\[{d_1} = \sqrt {{{\left( {5 - 0} \right)}^2} + {{\left( { - 2 - 6} \right)}^2}} = ...?\]

Answer 9

Then i rind the square root right?

Answer 10

25+64+?= total distance traveled and ? = 9.43

Answer 11

Is what he is saying right @Michele_Laino?

Answer 12

oops sry I meant 5+8+?= total distance

Answer 13

yes! we have \(d_1=\sqrt{89}=9.43\)

Answer 14

13?

Answer 15

so 9 miles?

Answer 16

so add those together and you should have your answer
5+8+9.43= 22.43 miles

Answer 17

so then is the answer 9 or 22

Answer 18

22 if you round

Answer 19

ok ty

Answer 20

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!

Answer 21

i believe it is 4

Answer 22

here the requested distance is given by the distance between points \((0,2)\) and \((-3,-2)\), so we have:
\[d = \sqrt {{{\left( { - 3 - 0} \right)}^2} + {{\left( { - 2 - 2} \right)}^2}} = \sqrt {9 + 16} = ...?\]

Answer 23

27

Answer 24

and the square root is 5

Answer 25

that's right!
we can write this:
\[\begin{gathered}
d = \sqrt {{{\left( { - 3 - 0} \right)}^2} + {{\left( { - 2 - 2} \right)}^2}} = \sqrt {9 + 16} = \hfill \\
\hfill \\
= \sqrt {25} = 5 \hfill \\
\end{gathered} \]

Answer 26

This is the second to last one

Answer 27

that i need help with

Answer 28

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:
\[\begin{gathered}
d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\
\hfill \\
= \sqrt {{{\left( {7 - 0} \right)}^2} + {{\left( { - 2 - 6} \right)}^2}} = \sqrt {49 + 64} = ...? \hfill \\
\end{gathered} \]

Answer 29

113 and the sqaure root is 10.63

Answer 30

that's right!

Answer 31

yep

Answer 32

Last one

Answer 33

is it b?

Answer 34

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:
\[\begin{gathered}
d = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} = \hfill \\
\hfill \\
= \sqrt {{{\left( {4 - \left( { - 4} \right)} \right)}^2} + {{\left( {6 - \left( { - 2} \right)} \right)}^2}} = \sqrt {{8^2} + {8^2}} = \hfill \\
\hfill \\
= \sqrt {64 + 64} = ...? \hfill \\
\end{gathered} \]

Answer 35

lol 128 square root = 11.31

Answer 36

so D

Answer 37

it should be d but I see how you may have gotten b

Answer 38

That's right!

Answer 39

thank you @Michele_Laino and @bemoseemo so much

Answer 40

:)

Answer 41

no problem :D

Answer 42

I game you a medal @Michele_Laino I definitely could not have explained as thorough as you did