Determine the distance between the points (−5, −3) and (−10, −8).
a square root of 7 units
b square root of 48 units
c square root of 50 units
d square root of 250 units
The distance between two points (x₁, y₁) and (x₂, y₂) can be found using the distance formula:
Distance = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
In this case, (x₁, y₁) = (-5, -3) and (x₂, y₂) = (-10, -8).
Plugging these values into the distance formula:
Distance = sqrt((-10 - (-5))² + (-8 - (-3))²)
= sqrt((-10 + 5)² + (-8 + 3)²)
= sqrt((-5)² + (-5)²)
= sqrt(25 + 25)
= sqrt(50)
The distance between the points (-5, -3) and (-10, -8) is sqrt(50) units.
Therefore, the correct answer is c) square root of 50 units.