Answer:
27.203 -or- √(740)
Step-by-step explanation:
Plug into square root formula to get
√((−8−14)²+(−17−(−1))²)
simplify
√(740)
Answer:
[tex]d=27.20[/tex] units or [tex]2\sqrt{185}[/tex] units
Step-by-step explanation:
(14, -1) and (-8, - 17)
To find the distance of two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(-8-14))^2 + (-17-(-1))^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(-8-14))^2 + (-17+1)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(-22)^2 + (-16)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(484) + (256) }[/tex]
Add.
[tex]d=\sqrt{740}[/tex]
Evaluate the square root.
[tex]d=27.20[/tex] units or [tex]2\sqrt{185}[/tex] units
Hope this helps!
