Answer:
The answer to your question is 5.7
Step-by-step explanation:
Data
Point A = (2, 3)
Point B = (-2, 7)
Process
To find the distance between points A and B use the formula of the distance between two points, substitute and simplify.
Formula
dAB = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
-Identify wich is the value of x1, y1, x2, y2
x1 = 2 y1 = 3 x2 = -2 y2 = 7
-Substittion
dAB = [tex]\sqrt{(-2 - 2)^{2} + (7 - 3)^{2}}[/tex]
-Simplification
dAB = [tex]\sqrt{(-4)^{2} + (4)^{2}}[/tex]
dAB = [tex]\sqrt{16 + 16}[/tex]
dAB = [tex]\sqrt{32}[/tex]
-Result
dAB = 5.65 ≈ 5.7
