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10 5- |-10 -5 -5- Find the distance between points B and T. Type in your answer below. -LO

10 5- |-10 -5 -5- Find the distance between points B and T. Type in your answer below. -LO

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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The image shows a coordinate plane with a grid, displaying a line segment between two points labeled B and T. The x-axis ranges from -10 to 10, and the y-axis also ranges from -10 to 10. Both axes are marked at regular intervals. - **Point B** is located at (-8, 5). - **Point T** is located at (2, -3). The instruction below the graph states: "Find the distance between points B and T. Type in your answer below." There is a text box provided for entering the answer. The task is to calculate the distance using the distance formula: \[ d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}} \] where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points B and T, respectively.
Transcribed Image Text:The image shows a coordinate plane with a grid, displaying a line segment between two points labeled B and T. The x-axis ranges from -10 to 10, and the y-axis also ranges from -10 to 10. Both axes are marked at regular intervals. - **Point B** is located at (-8, 5). - **Point T** is located at (2, -3). The instruction below the graph states: "Find the distance between points B and T. Type in your answer below." There is a text box provided for entering the answer. The task is to calculate the distance using the distance formula: \[ d = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}} \] where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of points B and T, respectively.
Expert Solution
Step 1

Use the distance formula of distance between the line joining two points P(x1,y1) and Q(x2,y2),

d=PQ=(x2-x1)2+(y2-y1)2

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