Respuesta :
Ans: Distance = 16.1
Let us consider point A with coordinates (x1,y1) and point B with coordinates (x2,y2)
The distance between the two points is given as:
d(A,B) = √(x2-x1)² + (y2-y1)²
Here: (x1,y1) = (-6,2)
(x2,y2) = (8,10)
d = √(8-(-6))² + (10-2)²
= √196+64 = √260 = 16.1
The distance between (–6, 2) and (8, 10) is 2√65
Distance Formula
The distance formula is used to calculate the distance between two points(x₁, y₁)(x₂, y₂).
Therefore,
- d = √(x₂ - x₁)²+(y₂ - y₁)²
x₁ = -6
x₂ = 8
y₁ = 2
y₂ = 10
Therefore,
d = √(8+6)²+(10-2)²
d = √(14)² + (8)²
d = √196 + 64
d = √260
d = √4 × 65
d = 2√65
learn more on distance here:https://brainly.com/question/4355146
