Answer:
4.2 units
most likely answer choice B
Explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
![d = \sqrt{(x_(2)-x_1)^2 + (y_2-y_1)^2 }](https://img.qammunity.org/2022/formulas/mathematics/college/e808wsbdznk3e5tyool14fkc1ec2jxmqwo.png)
Let's plug in what we know.
![d = √((4 - 1)^2 + (5 - 2)^2 )](https://img.qammunity.org/2022/formulas/mathematics/high-school/ib8dlvvtx82j12juinanlxta9jn8l62fzr.png)
Evaluate the parentheses.
![d = √((3)^2 + (3)^2 )](https://img.qammunity.org/2022/formulas/mathematics/high-school/hhao4vsncb9erfp0be7rt50khlfuckf8ju.png)
Evaluate the exponents.
![d = √((9) + (9) )](https://img.qammunity.org/2022/formulas/mathematics/high-school/zh5q6cfc59xzg8ztcx5b7boda9333rjhx3.png)
Add.
![d=√(18)](https://img.qammunity.org/2022/formulas/mathematics/high-school/txr6thblq3yc51476wg6aae08slli6btpg.png)
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!