Answer:
Approximately 7.8 units
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.
B is (-5,6). Let's let this be x₂ and y₂. So, substitute:
[tex]d=\sqrt{(-5-0)^2+(6-0)^2}[/tex]
Simplify:
[tex]d=\sqrt{(-5)^2+(6)^2}[/tex]
Square:
[tex]d=\sqrt{25+36}[/tex]
Add:
[tex]d=\sqrt{61}[/tex]
Take the square root. Use a calculator:
[tex]d\approx7.8[/tex]
So, the distance between them is about 7.8 units.
And we're done!
