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-8 Find the distance, d, of AB. A = (2,5) B = (-6, -3) -6 -4-2 B 4 2 -2 4 A 2 4 d = √x₂-x1² + y2 - Y₁|² d = [ ? ] Round to the nearest tenth. Distance Enter

-8 Find the distance, d, of AB. A = (2,5) B = (-6, -3) -6 -4-2 B 4 2 -2 4 A 2 4 d = √x₂-x1² + y2 - Y₁|² d = [ ? ] Round to the nearest tenth. Distance Enter

Elementary Geometry For College Students, 7e
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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find the distance, d, of AB. A=(2,5) B=(-6,-3). Round to the nearest tenth.

**Finding the Distance Between Two Points** **Goal:** Determine the distance, \( d \), between points A and B. **Given Points:** - \( A = (2, 5) \) - \( B = (-6, -3) \) **Distance Formula:** \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] **Visual Representation:** A graph is provided with a coordinate plane. Point A is located at (2, 5) and is marked with a blue dot labeled "A". Point B is located at (-6, -3) and is marked with a blue dot labeled "B". A straight line connects points A and B. **Calculation:** To find the distance \( d \) between the points, input their coordinates into the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] **Interactive Element:** Users are prompted to calculate the distance and input their answer into a text box labeled "Distance". After entering the calculated distance, they should press the "Enter" button. **Note:** - Ensure to round your final answer to the nearest tenth. **Example Entry:** If the calculation gives you a value such as 10.630145, you would round it to 10.6. Try calculating the distance now!
Transcribed Image Text:**Finding the Distance Between Two Points** **Goal:** Determine the distance, \( d \), between points A and B. **Given Points:** - \( A = (2, 5) \) - \( B = (-6, -3) \) **Distance Formula:** \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] **Visual Representation:** A graph is provided with a coordinate plane. Point A is located at (2, 5) and is marked with a blue dot labeled "A". Point B is located at (-6, -3) and is marked with a blue dot labeled "B". A straight line connects points A and B. **Calculation:** To find the distance \( d \) between the points, input their coordinates into the distance formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] **Interactive Element:** Users are prompted to calculate the distance and input their answer into a text box labeled "Distance". After entering the calculated distance, they should press the "Enter" button. **Note:** - Ensure to round your final answer to the nearest tenth. **Example Entry:** If the calculation gives you a value such as 10.630145, you would round it to 10.6. Try calculating the distance now!
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