Answer:
- A: true
- B: false
- C: true
- D: false
Explanation:
You want to know if the given distance calculations are correct (true) or not (false).
Distance
The distance between the animals at different coordinates is the absolute value of the difference of the coordinates.
A) Fish–dolphin
The distance is ...
|(-38 1/2) -(-84 1/4)| = 45 3/4 . . . . True
B) Shark–dolphin
The distance is ...
|-145 -(-84 1/4)| = 60 3/4 ≠ 229 3/4 . . . . False
C) Fish–bird
The distance is ...
|(18 3/4) -(-38 1/2)| = 57 1/4 . . . . True
D) Shark–bird
The distance is ...
|(18 3/4) -(-145)| = 163 3/4 ≠ 126 3/4 . . . . False
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Additional comment
Since we're using the absolute value function, the order in which the subtraction occurs is immaterial. In the first two calculations we subtracted the location of the second animal from the first. In the last two calculations, this order was reversed. The correct distance is found either way.
If you don't use the absolute value function, you want to subtract the smaller coordinate from the larger. This will always give a positive result.
As a rule, distance and length are always positive. Displacement or position can be negative.
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