Aright triangle has its right angle at (5,7) and the equation of one of its legs is 2x-y-3=0. Find the equation of the other leg.
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OpenStudy (anonymous):
help me here @iGreen
OpenStudy (anonymous):
jamaica... i got (3/2, -3)
OpenStudy (anonymous):
your other question was easier
i suggest you finish it first it will help you
OpenStudy (anonymous):
i cant do it, please guide me, whats the next step :D
OpenStudy (anonymous):
im only 12 years old, i need to solve this stuff to accelerate to senior high
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OpenStudy (anonymous):
on the first x=0 y becomes =13/7 for one point
if y=o x becomes =13/3
plot these points
draw the line get the slope
the question wants you to find the line at right angles thr0 the point (2,1)
OpenStudy (anonymous):
13/7 how did you get this?
OpenStudy (anonymous):
2x-y-3 =0
2(0) - y=3
y= -3/2
OpenStudy (anonymous):
the slope of the line is (-3/7)
so one at right angles =(7/3) this is the locus or radius line
OpenStudy (anonymous):
put x=o in the equation you are only left with y=
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OpenStudy (anonymous):
2x-y-3 =0
2(0) - y=3
y= -3/2
is this?
OpenStudy (anonymous):
we are working on different equations i am on the first 3x+7y-13=0
OpenStudy (anonymous):
the locus problem?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
ok, lets solve that first
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OpenStudy (anonymous):
i said this was easier and would help with the other
OpenStudy (anonymous):
how did you get (3 , -7) as the slope?
OpenStudy (anonymous):
did you plot the points ?
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
well can you get the slope?
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OpenStudy (anonymous):
i mean 3/-7
OpenStudy (anonymous):
using the slope formula?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
\[m = \frac{ 13/7 - 1 }{ 13/3 - 2 }\]
OpenStudy (anonymous):
this?
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OpenStudy (anonymous):
your equation 3x+7y-13=0
so 7y =-3x =13
y =3/7(x)-13
so m=-(3/7)
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
so i will use y-y1 = m(x-x1)?
OpenStudy (anonymous):
the slope you need is at right angles thro (2,1) because that will be the radius line that you use to touch the point (2,1) it could any radius but it will be on this line
OpenStudy (anonymous):
|dw:1427205829666:dw|
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