Find the distance between the points (
–
5,0) and (
–
9,5).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
The distance between two points (x1, y1) and (x2, y2) in a coordinate system can be found using the distance formula:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the points are (-5, 0) and (-9, 5), so:
distance = √((-9 - (-5))^2 + (5 - 0)^2)
= √((-9 + 5)^2 + 5^2)
= √((-4)^2 + 5^2)
= √(16 + 25)
= √41
Therefore, the distance between the points (-5, 0) and (-9, 5) is √41 units.