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Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Problem:**

Find the distance between the two points in simplest radical form.

**Graph Description:**

A coordinate plane is displayed with both x and y-axes clearly marked from -10 to 10. There are two yellow points on the graph:

- One point is located at (-4, -3).
- The other point is located at (3, 4).

These points represent the coordinates that we need to find the distance between.

**Instructions:**

1. To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) on a coordinate plane, use the distance formula:

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

2. Substitute the coordinates of the points into the formula:

   \[
   d = \sqrt{(3 - (-4))^2 + (4 - (-3))^2}
   \]

3. Simplify the expression to find the distance in simplest radical form.

**Interactive Component:**

An answer box is provided for students to input their final answer and submit it. Students have 3 attempts to enter the correct answer.
Transcribed Image Text:**Problem:** Find the distance between the two points in simplest radical form. **Graph Description:** A coordinate plane is displayed with both x and y-axes clearly marked from -10 to 10. There are two yellow points on the graph: - One point is located at (-4, -3). - The other point is located at (3, 4). These points represent the coordinates that we need to find the distance between. **Instructions:** 1. To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) on a coordinate plane, use the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] 2. Substitute the coordinates of the points into the formula: \[ d = \sqrt{(3 - (-4))^2 + (4 - (-3))^2} \] 3. Simplify the expression to find the distance in simplest radical form. **Interactive Component:** An answer box is provided for students to input their final answer and submit it. Students have 3 attempts to enter the correct answer.
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