Answer:
√17 units
Step-by-step explanation:
(6, 8) & (7, 4)
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Plug in the values you know.
[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(1) + (16) }[/tex]
Add.
[tex]d = \sqrt{(17)[/tex]
Evaluate the square root.
[tex]d=\sqrt{17}[/tex]
This square root is already fully simplified.
Your answer is √17 units.
Hope this helps!
