Question

Which expression shows the distance you would travel from the gym to your science class in this hallway?

Answer 1

The expression that shows the distance you would drive from the gym to the office along this road is b.|-6|+|4|

What is a Distance ?

Distance is a numerical or qualitative measurement of the distance between two objects or points. Distance is defined as an object's total movement without regard for direction. The distance can be defined as how much ground an object has covered regardless of its starting or ending point.

To find the distance between two points in a number line we do the absolute value of the points subtracted. That is if we need to find the distance between point a and point b in a number line we do |a-b|.

Now, the Gym is at point -6 in the number line and the office is at point 4 in the number line, then the distance from -6 to 4 is |-6-4| = |-10| = 10.

Now, option a is |-6+4| ≠ |-6-4|.

The option b is |-6|+|4| = 6+4 = 10 =|-6-4|. Then, option b is correct.

Option c is -6+4 ≠ |-6-4|.

The option d is -|6|+|4| = -6+4 ≠ |-6-4|.

Then, the correct answer is b.

The complete question is given below.

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Complete question

Which expression shows the distance you would drive from the gym to the office along this road?

a.|-6 + 4|

b.|-6|+|4|

c.-6+4

d.-|6|+|4|