Find the distance between the points (0,–8) and (–9,4).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
To find the distance between two points (x1, y1) and (x2, y2), we use the distance formula:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (0, -8) and (-9, 4). Plugging these values into the formula:
Distance = √((-9 - 0)^2 + (4 - (-8))^2)
Distance = √((-9)^2 + (4 + 8)^2)
Distance = √(81 + 144)
Distance = √225
Distance = 15
Therefore, the distance between the points (0, -8) and (-9, 4) is 15.