Answer:
The answer to your question is dAB = 10.63
Step-by-step explanation:
Data
A = (7, 3)
B = (-1, -4)
Process
To solve this problem, use the formula of the distance between two points, substitute the values and simplify.
Formula
dAB = [tex]\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}[/tex]
x1 = 7 y1 = 3 x2 = -1 y2 = -4
-Substitution
dAB = [tex]\sqrt{(-1 - 7)^{2}+ (-4 - 3)^{2}}[/tex]
-Simplification
dAB = [tex]\sqrt{(-8)^{2} + (-7)^{2}}[/tex]
dAB = [tex]\sqrt{64 + 49}[/tex]
dAB = [tex]\sqrt{113}[/tex]
-Result
dAB = 10.63
