Answer:
The answer to your question is [tex]\sqrt{65}[/tex]
Step-by-step explanation:
Data
Point A = (-9, -6)
Point B = (-2, -2)
Process
To solve this problem, substitute the values in the equation.
Formula
dAB = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
- Identify the values of x1, x2, y1 and y2
x1 = -9 y1 = -6 x2 = -2 y2 = -2
-Substitution
dAB = [tex]\sqrt{(-2 + 9)^{2}+ (-2 + 6)^{2}}[/tex]
-Simplification
dAB = [tex]\sqrt{7^{2} + 4^{2}}[/tex]
dAB = [tex]\sqrt{49 + 16}[/tex]
dAB = [tex]\sqrt{65}[/tex]
