| T O P I C R E V I E W |
| raghu |
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 - y
2.
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. |
| 4 L A T E S T R E P L I E S (Newest First) |
| raghu |
Posted - 05/02/2008 : 11:09:05
got x - y = 2.5.It appears correct. Thank you. |
| peppers18 |
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} < 1
so the first equation shows that [x]=3. so {y}=.2
can you continue from there? |
| raghu |
Posted - 05/01/2008 : 15:51:47
x + y = 4.9
|
| raghu |
Posted - 05/01/2008 : 13:20:38
for the first problem this is how I started
[x] + y - [y] = 3.2
x - [x] + [y] = 1.7
adding these
x = y = 4.9
and subtring one from the other
x[x] = y - 2[y] - x = 1.5
now I don't see a way ahead |
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