use Pythagoras theorem and calculate the distances. compare the distances and check which one is smaller.
OpenStudy (anonymous):
Can u plz show me?
OpenStudy (anonymous):
in the first problem, and for first option, what is the distance between otters and hyenas ?
what is the distance in x direction and y direction?
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OpenStudy (anonymous):
Idontknow.. i dont get it :/
OpenStudy (anonymous):
okay. what is the distance in x-direction between otters and hyenas??. look in the first attachment.
OpenStudy (anonymous):
Well otters coordinates is (1,7) nd hyenas is (3,6)
OpenStudy (anonymous):
otters is (-1,7).
OpenStudy (anonymous):
Ahh.. yeah.
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OpenStudy (anonymous):
so, now find out the distances in x-direction and y-direction.
OpenStudy (anonymous):
how do u do that?
OpenStudy (anonymous):
otters is (-1,7) and hyenas is (3,6), right.
so distance in x-direction = 3 - (-1) = 4
and distance in y-direction = 6-7 = -1
okay?
OpenStudy (anonymous):
Yes :) but wat about for the second one?
OpenStudy (anonymous):
we are not done with this yet.
Now total distance between otters and rhyenas is = \[\sqrt{4^{2}+(-1)^2}\]=4.12
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OpenStudy (anonymous):
I see.. but the first one doesnt ask for a # iknow the second one is jaguars to the tigers
OpenStudy (anonymous):
similarly find distances for other 3 options and see which one is smaller.
the answer is 'otters and hyenas'.
OpenStudy (anonymous):
thanks! so how wuld the second one look like?
OpenStudy (anonymous):
second one is also similar.
first find distance between jaguars and tigers. then find distance between tigers and otters and add both. The result would be the total distance.
OpenStudy (anonymous):
ugh.. this gives me a headache :/ so it would b.. jaguars is (6, -5) tigers (4, -1) nd otters is (-1, 7)
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OpenStudy (anonymous):
yes. now find the distance between jaguras and tigers, like we did for the first problem.
OpenStudy (anonymous):
6 - 4 = 2 nd -5 - (-1) = -4?
OpenStudy (anonymous):
yeah. correct. now, do the sqrt thing.
OpenStudy (anonymous):
\[2^{2} and -4^{2} = 4 nd -2?\]
OpenStudy (anonymous):
yes find
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OpenStudy (anonymous):
\[\sqrt{2^{2}+(-4)^2}\]
OpenStudy (anonymous):
i get 20?
OpenStudy (anonymous):
and apply sqrt.
OpenStudy (anonymous):
4.47.. is that right?
OpenStudy (anonymous):
yes. thats correct. Now that is the distance between jaguars and tigers.
similarly, now find the distance between tigers and otters.
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OpenStudy (anonymous):
6+ (-1) = 5 and -5 + 7 = 2
OpenStudy (anonymous):
\[\sqrt{5^{2 + 2^{2}}} = 10 + 2 = 12\]
OpenStudy (anonymous):
no. tigers is (4, -1) nd otters is (-1, 7)
redo your math.
OpenStudy (anonymous):
ugh :/ okk.. 4 + -1 = 3 nd -1 + 7 = 6
OpenStudy (anonymous):
\[\sqrt{3^{2 + 6_{2}}}= 6 + 12 = \] ?
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OpenStudy (anonymous):
18
OpenStudy (anonymous):
no dear. you always need to subtract.
OpenStudy (anonymous):
so 3^2 = 6 and 6^2 = 12 and subtract that?
OpenStudy (anonymous):
No. 4 - (-1) = 5 and -1 - (7) = -8
OpenStudy (anonymous):
ohh... then its 5^2 = 10 and -8^2 = 64?
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OpenStudy (anonymous):
5^2 = ?
OpenStudy (anonymous):
25
OpenStudy (anonymous):
yaa. so now the distance between tigers and otters would be ?
OpenStudy (anonymous):
25 + 64 = 89
OpenStudy (anonymous):
and apply sqrt.
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OpenStudy (anonymous):
9.43
OpenStudy (anonymous):
good. now add both the distances.
OpenStudy (anonymous):
13.9?
OpenStudy (anonymous):
yep. you nailed it. very good.
OpenStudy (anonymous):
THANKS!!!!! :D u helped me alot!
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OpenStudy (anonymous):
Can u help me with one more?
OpenStudy (anonymous):
you are welcome. I hope now you can solve any other similar problem.
Yep. Post it.
OpenStudy (anonymous):
OpenStudy (anonymous):
follow the same procedure as used in the previous problem.
OpenStudy (anonymous):
Okk :) so its D = (-1, -3) and E = (0,0) ?
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OpenStudy (anonymous):
yeah. now find the distance.
OpenStudy (anonymous):
-1 + 0 = -1 and -3 + 0 = -3
OpenStudy (anonymous):
always do subtract when finding distances.
-1 - 0 = -1 and -3 - 0 = -3.
now find the distance.
OpenStudy (anonymous):
-1^2 = 1 and -3^2 = 3
OpenStudy (anonymous):
(-3)^2 = ?
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OpenStudy (anonymous):
9 sorry
OpenStudy (anonymous):
yaa. now find the distance.
OpenStudy (anonymous):
= 10 and sqrt that right?
OpenStudy (anonymous):
yep.
OpenStudy (anonymous):
3.16
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OpenStudy (anonymous):
yeah. answer is $sqrt(10)$. option A.
OpenStudy (anonymous):
:)) thanks so much! i dont wanna bug but can u help me with one more. its diffent, its just geometry kick my butt :D if u can I understand
OpenStudy (anonymous):
nops. post your Q.
OpenStudy (anonymous):
Thanks!
OpenStudy (anonymous):
it is also similar question. Here you know distances in horizontal and vertical directions.
so use the same formula.
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OpenStudy (anonymous):
wat formula?
OpenStudy (anonymous):
sqrt(6^2 + 9^2)
OpenStudy (anonymous):
36 + 81?
OpenStudy (anonymous):
yeah. and sqrt of that.
OpenStudy (anonymous):
10.8
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