Question

The distance between two points is the ________ of their difference.

Example: The distance between A and D is:

D

3 4 5

14 - (-5) = (14 + 5) = ________

1-5-4-1-91 = ________

5 4 3 2 1 2

Options:
a) 19
b) -19
c) 9
d) -9

Answer 1

The distance between two points is the magnitude of their difference. For points A and D where A = 14 and D = -5, the distance is 19, ignoring direction since distance is a scalar quantity.

Step-by-step explanation:

The distance between two points is the magnitude of their difference. When calculating the distance, you should only consider the absolute value of the difference between two points because distance is a scalar quantity which only has magnitude and does not have a direction. Based on the information provided, to find the distance between A and D where A = 14 and D = -5, you first negate the negative sign (which is like adding a positive sign) and then add the two values

For the given example, the distance between A and D is calculated as follows:

D = A - (-D)
D = 14 - (-5)
D = 14 + 5
D = 19

Therefore, the answer is 19, which represents the absolute value of the difference in position between points A and D. Hence, the correct option is (a) 19.