Answer:
The answer to your question is dAC = 10 units
Step-by-step explanation:
Data
From the graph, take the coordinates of the points A and C.
A (3, - 1)
C (-5, 5)
Process
Use the formula of the distance between two points to find the length
d = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
x1 = 3 y1 = -1
x2 = -5 y2 = 5
Substitution
dAC = [tex]\sqrt{(-5 - 3)^{2} + (5 + 1)^{2}}[/tex]
Simplification
dAC = [tex]\sqrt{(-8)^{2} + (6)^{2}}[/tex]
dAC = [tex]\sqrt{64 + 36}[/tex]
dAC = [tex]\sqrt{100}[/tex]
dAC = 10 units
