Answer :
The distance between the pair of points (-6, -5) and (2, 0) is √89.
To find the distance between the two points (x₁, y₁) and (x₂, y₂), we use the distance formula, according to which the distance d is shown as:
d = √((x₂ - x₁)² + (y₂ - y₁)²).
In the question, we are asked to find the distance between the pair of points (-6, -5) and (2, 0).
We take (x₁, y₁) = (-6, -5), and (x₂, y₂) = (2, 0).
Using the distance formula,
d = √((x₂ - x₁)² + (y₂ - y₁)²),
and substituting the values of x₁, y₁, x₂, and y₂, we get:
d = √((2 - (-6))² + (0 - (-5))²),
or, d = √((2 + 6)² + (0 + 5)²),
or, d = √(8² + 5²),
or, d = √(64 + 25),
or, d = √89.
Thus, the distance between the pair of points (-6, -5) and (2, 0) is √89.
Learn more about the distance formula at
https://brainly.com/question/17273444
#SPJ9