Question

Which of the coordinate pairs below are separated by a vertical distance of greater than 5 units? Select all that apply.

Answer 1

Answer:

A, B, C

Step-by-step explanation:

A coordinate is written as (x, y) where:

• x is the horizontal distance of the point from the origin.
• y is the vertical distance of the point from the origin.

For a pair of coordinates to be separated by a vertical distance of greater than 5 units, the difference in their y-values should be greater than 5.  To find the difference between two values, subtract the smaller value from the larger value.

A.  (-1, -52) and (-1, -32)

Difference in y-values:  (-32) - (-52) = 20

B.  (1.8, -3.4) and (1.8, 2.2)

Difference in y-values:  (2.2) - (-3.4) = 5.6

C.  (-3.5, -4.2) and (-3.5, 1.3)

Difference in y-values:  (1.3) - (-4.2) = 5.5

D.  (4, 5) and (4, 1)

Difference in y-values: 5 - 1 = 4

Therefore, coordinate pairs A, B and C are all separated by a vertical distance of greater than 5 units.

Answer 2

Answer: A

Step-by-step explanation:

A. yes because -52 and -32 are separated by a distance of 20 units

B. no because -3.4 and 2.2 are not separated by more than 5 units

C. no because -4.2 and 1.3 are not separated by more than 5 units

D. no becasue 5 and 1 are not separated by more than 5 units