Respuesta :
Answer:
d = 10.8167
Step-by-step explanation:
The distance between two points can be easily found by using the following expression
d = √((x1-x2)^2 + (y1-y2)^2)
where
(x1,y1) = (6,-4)
(x2,y2) = (0,5)
d = √((6-0)^2 + (-4-5)^2)
d = √(36 + 81)
d = √(117)
d = 10.8167
Answer:
The distance between the points (6,-4) and (0,5) = 10.82 units
Step-by-step explanation:
Points to remember
Distance formula
Length of a line segment with end points (x1, y1) and (x2, y2) is given by,
Distance = √[(x2 - x1)² + (y2 - y1)²]
To find the distance between given points
Here, (x1, y1) = (6, -4) and (x2, y2) = (0, 5)
Distance = √[(x2 - x1)² + (y2 - y1)²]
= √[(0 - 6)² + (5 - -4)²]
=√[(-6)² + (9)²]
= √[36 + 81]
= √[117
= 10.82
The distance between the points (6,-4) and (0,5) = 10.82 units