The (3+8) needs to be (3-8). This is because we're looking for the horizontal distance, and we subtract to find said distance.
For example, the distance from 3 to 7 on the number line is 4 units because 7-3 = 4.
Similarly, the (2+14) needs to be (2-14) which measures the vertical distance. It might help to draw a right triangle with (3,2) and (8,14) as the endpoints of the hypotenuse. The absolute value of (3-8) represents the horizontal leg, while the absolute value of (2-14) is the vertical leg. Use the pythagorean theorem to find the hypotenuse. In fact, the distance formula is a modified version of the pythagorean theorem.
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In short, the (3+8) needs to be (3-8); the (2+14) needs to be (2-14)
This is what it should look like
[tex]d = \sqrt{(3-8)^2 + (2-14)^2}[/tex]
The distance formula in general is
[tex]d = \sqrt{(x_1-x_2)^2 + (y_1-y_2)^2}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints.
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Here's an example problem that uses the distance formula
https://brainly.com/question/28597401
