-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
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!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1610dad3-cbfc-4318-acb1-7d0814045c98%2F26a36489-ecee-46ec-ac2b-4286363ba34d%2Fteckmbd_processed.png&w=3840&q=75)
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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