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7. find the distance between the two points in simplest form.

Question

  1. find the distance between the two points in simplest form.

Explanation:

Response

Since the coordinates of the two - points are not given, we cannot solve this problem. Please provide the coordinates of the two points. If we assume the two points are \((x_1,y_1)\) and \((x_2,y_2)\), the distance formula is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

If you provide the actual coordinates of the two points, we can follow these steps:

Step 1: Identify the coordinates

Let the two points be \((x_1,y_1)\) and \((x_2,y_2)\).

Step 2: Substitute into the distance formula

\(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)

Step 3: Simplify the expression

First, calculate \((x_2 - x_1)^2\) and \((y_2 - y_1)^2\), then add them together, and finally take the square - root and simplify the radical if possible.

Answer:

The distance \(d\) between the two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\), and after substituting the actual coordinates and simplifying, we get the specific value.