Question

Helpppppppppppp

The table shows the location of different animals compared to sea level. Determine if each statement is True or False.


Table of animals and their locations compared to sea level, in feet. Fish, negative thirty-eight and one-half feet. Shark, one hundred forty-five feet. Dolphin, negative eighty-four and one-fourth feet. Bird, eighteen and three-fourths feet.

A) The distance between the fish and the dolphin is
|–3812 – (–8414)| = 4534 feet. is True or False?

B) The distance between the shark and the dolphin is
|–145 – 8414| = 22934 feet. is True or False?

C) The distance between the fish and the bird is
|1834 – (–3812)| = 5714 feet. is True or False?

D) The distance between the shark and the bird is
|1834 – 145| = 12634 feet. is True or False?

ayudenme porfis

Answer 1

• 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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