Which of the following points are more than 5 vertical units away from the point left-parenthesis 0 comma negative 2 right-parenthesis? Choose all that apply.
A. left-parenthesis 6 comma negative 2 right-parenthesis
B. left-parenthesis negative 8 comma negative 2 right-parenthesis
C. left-parenthesis 0 comma negative 8 right-parenthesis
D. left-parenthesis 0 comma 4 right-parenthesis
C and D are more than 5 vertical units away from left-parenthesis 0 comma negative 2 right-parenthesis.
To determine which of the points are more than 5 vertical units away from the point (0, -2), we need to calculate the vertical distance between each point and (0, -2).
A. The vertical distance between (0, -2) and (6, -2) is 0 units, which is not more than 5 units. So, point A is not more than 5 vertical units away from (0, -2).
B. The vertical distance between (0, -2) and (-8, -2) is 0 units, which is not more than 5 units. So, point B is not more than 5 vertical units away from (0, -2).
C. The vertical distance between (0, -2) and (0, -8) is 6 units, which is more than 5 units. So, point C is more than 5 vertical units away from (0, -2).
D. The vertical distance between (0, -2) and (0, 4) is 6 units, which is more than 5 units. So, point D is more than 5 vertical units away from (0, -2).
Therefore, the points more than 5 vertical units away from (0, -2) are C and D.