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ZOOLOGY A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from Vermont at map coordinates (63, 45) to Venezuela at map coordinates (67, 10) in three days. Round to the nearest kilometer.

ZOOLOGY A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from Vermont at map coordinates (63, 45) to Venezuela at map coordinates (67, 10) in three days. Round to the nearest kilometer.

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 between each pair of points. Round to the nearest tenth, if necessary. (For the first question)

 

**Zoology** A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from Vermont at map coordinates (63, 45) to Venezuela at map coordinates (67, 10) in three days. Round to the nearest kilometer. The map on the left shows a simplified representation of North America and South America, highlighting Vermont and Venezuela with black dots. The image on the right shows a photograph of the blackpoll warbler perched on a branch, which features a small brown bird with distinctive markings. **Question:** If each map coordinate represents 75 kilometers, how far did the bird travel? [Blank space for answer]
Transcribed Image Text:**Zoology** A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from Vermont at map coordinates (63, 45) to Venezuela at map coordinates (67, 10) in three days. Round to the nearest kilometer. The map on the left shows a simplified representation of North America and South America, highlighting Vermont and Venezuela with black dots. The image on the right shows a photograph of the blackpoll warbler perched on a branch, which features a small brown bird with distinctive markings. **Question:** If each map coordinate represents 75 kilometers, how far did the bird travel? [Blank space for answer]
**Problem 41** Given the points: - \( X(-3, 5) \) - \( Y(4, 2) \) [Text Box] --- ### Explanation This is a problem related to coordinate geometry, where two points \( X \) and \( Y \) are provided with their respective coordinates. The task could involve finding the distance between these points, determining the midpoint, or calculating the slope of the line that connects them. **Instructions:** 1. **Distance Formula:** To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] 2. **Midpoint Formula:** To find the midpoint \(M\) between two points, use the formula: \[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] 3. **Slope Formula:** To find the slope \(m\) of the line through the points: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] The text box accompanying the problem likely serves as a space for students to write their answer or calculations. --- ### Additional Note This exercise forms a fundamental part of understanding basic concepts in geometry and algebra. The skills developed here are applicable in various fields, such as physics and engineering, where spatial reasoning and precise calculations are required.
Transcribed Image Text:**Problem 41** Given the points: - \( X(-3, 5) \) - \( Y(4, 2) \) [Text Box] --- ### Explanation This is a problem related to coordinate geometry, where two points \( X \) and \( Y \) are provided with their respective coordinates. The task could involve finding the distance between these points, determining the midpoint, or calculating the slope of the line that connects them. **Instructions:** 1. **Distance Formula:** To find the distance between two points \((x_1, y_1)\) and \((x_2, y_2)\), use the formula: \[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \] 2. **Midpoint Formula:** To find the midpoint \(M\) between two points, use the formula: \[ M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \] 3. **Slope Formula:** To find the slope \(m\) of the line through the points: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] The text box accompanying the problem likely serves as a space for students to write their answer or calculations. --- ### Additional Note This exercise forms a fundamental part of understanding basic concepts in geometry and algebra. The skills developed here are applicable in various fields, such as physics and engineering, where spatial reasoning and precise calculations are required.
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