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A guy move x steps north, 3 steps east, 2 steps south, and y steps east.?
A guy move x steps north, 3 steps east, 2 steps south, and y steps east.
x and y are greater than 6
What is the minimum number of steps required to return to origin?
a) x-y-1
b) x-y+1 <-- apparently this is the answer but idk why
c) x+y-5
d) x+y+1
e) x+y+5
I'm practicing SAT math problems and this came up and now I'm really confused. I thought it was A but I didn't use Pythagorean Theorem. So Can someone help explain this problem to me?
1 Answer
- mukavetzLv 67 years ago
I think the problem is wrong. It says x and y are greater than 6 but not how much greater. It then asks for the Minimum number of steps to return to the origin-----presumable for any x or y combination where neither is 6 or smaller.
Example if x is 6.0001 and y is 6.0001 it satisfies the problem. After moving the steps the guy is standing at (assume north is along the y axis) y=6.0001 - 2 or 4.0001 and x is 3 + 6.001 = 9.0001
the minimum x,y pair is 4.0001 and 9.0001 which by the pythagorean theorm is sqrt (97) steps or a little more than 9 steps along the hypotenus OR 13 steps if forced to only go in right angles (south and then west).
So the answer would be d) if forced onto right angles only----which the problem does NOT state is required.
The problem does not state that the guy must move