Mathematics
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OpenStudy (marcoreus11):
I need help
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OpenStudy (marcoreus11):
this first is 13 and next is 12 and the rest is 13 right?
OpenStudy (marcoreus11):
@mathmate check plz?
OpenStudy (marcoreus11):
and its 4 for l
OpenStudy (marcoreus11):
@jim_thompson5910 help check?
jimthompson5910 (jim_thompson5910):
you got the one for Lancelot correct, but the one you got for Galahad is incorrect
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OpenStudy (marcoreus11):
its 11
jimthompson5910 (jim_thompson5910):
|dw:1464309597161:dw|
jimthompson5910 (jim_thompson5910):
|dw:1464309626020:dw|
jimthompson5910 (jim_thompson5910):
|dw:1464309649630:dw|
jimthompson5910 (jim_thompson5910):
|dw:1464309684784:dw|
a = 9
b = x-1
c = 15
Use the Pythagorean Theorem
\[\Large a^2 + b^2 = c^2\]
\[\Large 9^2 + (x-1)^2 = 15^2\]
\[\Large 81 + x^2-2x+1 = 225\]
\[\Large 81 + x^2-2x+1 - 225=0\]
\[\Large x^2-2x-143=0\]
solve for x
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jimthompson5910 (jim_thompson5910):
keep in mind that x > 0. Otherwise, it makes no sense to have a negative side length
OpenStudy (marcoreus11):
oh okay
jimthompson5910 (jim_thompson5910):
actually, the side length x-1 > 0 so x > 1
OpenStudy (marcoreus11):
next?
jimthompson5910 (jim_thompson5910):
I'll let you solve. Give it a shot
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jimthompson5910 (jim_thompson5910):
The quadratic formula is best to use
OpenStudy (marcoreus11):
x=13
jimthompson5910 (jim_thompson5910):
yes correct
OpenStudy (marcoreus11):
so how about the others?
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OpenStudy (marcoreus11):
its x=34
jimthompson5910 (jim_thompson5910):
no
jimthompson5910 (jim_thompson5910):
show me how you got 34
OpenStudy (marcoreus11):
129-61=68/2=34
jimthompson5910 (jim_thompson5910):
I see, notice how the angle isn't simply x. It is (3x-5) degrees
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jimthompson5910 (jim_thompson5910):
so it should be 3x-5 = 34 which means x = ???
OpenStudy (marcoreus11):
97
jimthompson5910 (jim_thompson5910):
you made a mistake somewhere
jimthompson5910 (jim_thompson5910):
Did you add 5 to both sides? Then divide both sides by 3?
OpenStudy (marcoreus11):
oh its 13 my bad
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OpenStudy (marcoreus11):
i plugged 34 into x
jimthompson5910 (jim_thompson5910):
I see
jimthompson5910 (jim_thompson5910):
yes x = 13 for Gawain
jimthompson5910 (jim_thompson5910):
so far, the 3 knights in the top row all have x = 13
OpenStudy (marcoreus11):
yup
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OpenStudy (marcoreus11):
the next one is 13
OpenStudy (marcoreus11):
26/2 equal 13
jimthompson5910 (jim_thompson5910):
x = 13 is not the correct answer for Sir Robin
OpenStudy (marcoreus11):
14
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jimthompson5910 (jim_thompson5910):
yep
OpenStudy (marcoreus11):
yeah last one is 13 so its 4
jimthompson5910 (jim_thompson5910):
|dw:1464310891792:dw|