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raghu
Senior Member

USA
37 Posts

 Posted - 05/01/2008 :  12:48:38 1. suppose x and y are real numbers that satisfy [x] + {y} = 3.2 and {x} + [y] = 1.7, where [x] repreents th egreatest integer less than or equal to x and {x} = x - [x]. find the difference x - y2.triangle ABC has mod(AB) = 5 and mod(BC) = 6 and mod(AC) = 7. A circle is inscriobed in the triangle,interesecting AB at D. Find mod(AD). This is something I cannot comprehend. If a circle is inscribed in a triangle, it only touches the sides but will not intersectthe side.

raghu
Senior Member

USA
37 Posts

 Posted - 05/01/2008 :  13:20:38 for the first problem this is how I started[x] + y - [y] = 3.2x - [x] + [y] = 1.7adding these x = y = 4.9and subtring one from the otherx[x] = y - 2[y] - x = 1.5now I don't see a way ahead

raghu
Senior Member

USA
37 Posts

 Posted - 05/01/2008 :  15:51:47 x + y = 4.9

peppers18

124 Posts

 Posted - 05/02/2008 :  01:12:19 since [x] is the greatest integer less than or equal to x, and {x}=x-[x], then {x} will be 0 <= {x} < 1so the first equation shows that [x]=3. so {y}=.2can you continue from there?

raghu
Senior Member

USA
37 Posts

 Posted - 05/02/2008 :  11:09:05 got x - y = 2.5.It appears correct. Thank you.
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