Question

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

A)(-1, −52) and (-1, −32)
B) (1.8, -3.4) and (1.8, 2.2)
C) (-3.5, -4.2) and (-3.5, 1.3)
D) (4, 5) and (4, 1)

Answer 1

Answer: A

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

Answer 2

A, B, C

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.