webassign.net/web/Student Assign 10 5 (6,0) (11, 0) -5F (a) Find the length of each side of the right triangle. distance between (6, 0) and (11, 0) 5 d1 = distance between (11, 0) and (11, 12) d₂ 12 distance between (6, 0) and (11, 12) 13 d3 = (b) Show that these lengths satisfy the Pythagorean Theorem. 2 d₁² = 81 d₂² = 141 d₁²+d₂² 225 = 0 15 Submi X
webassign.net/web/Student Assign 10 5 (6,0) (11, 0) -5F (a) Find the length of each side of the right triangle. distance between (6, 0) and (11, 0) 5 d1 = distance between (11, 0) and (11, 12) d₂ 12 distance between (6, 0) and (11, 12) 13 d3 = (b) Show that these lengths satisfy the Pythagorean Theorem. 2 d₁² = 81 d₂² = 141 d₁²+d₂² 225 = 0 15 Submi X
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![**Homework: Math 1314 HW 1 - Section 1.1**
**Content:**
---
### Problem Description
**(a)** Find the length of each side of the right triangle.
- **Distance between (6,0) and (11,0):** \( d_1 = 5 \)
- **Distance between (11,0) and (11,12):** \( d_2 = 12 \)
- **Distance between (6,0) and (11,12):** \( d_3 = 13 \)
**(b)** Show that these lengths satisfy the Pythagorean Theorem.
\[
d_1^2 = 81 \ (\text{x})
\]
\[
d_2^2 = 141 \ (\text{x})
\]
\[
d_1^2 + d_2^2 = 225 \ = d_3^2 \ (\text{x})
\]
---
### Graph Description
The image presents a segment of the coordinate plane with labeled points and distances between them. It shows a horizontal number line (x-axis), and point markers at coordinates (6,0), (11,0), and (11,12).
---
**Note:** This content is intended for educational purposes, demonstrating the calculation and verification of the Pythagorean theorem with provided example coordinates.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F418d047f-d07f-4bcf-8222-49ade4ace622%2Ffed1f001-8ca4-46db-9dcf-a54c233b083f%2F39oujjf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Homework: Math 1314 HW 1 - Section 1.1**
**Content:**
---
### Problem Description
**(a)** Find the length of each side of the right triangle.
- **Distance between (6,0) and (11,0):** \( d_1 = 5 \)
- **Distance between (11,0) and (11,12):** \( d_2 = 12 \)
- **Distance between (6,0) and (11,12):** \( d_3 = 13 \)
**(b)** Show that these lengths satisfy the Pythagorean Theorem.
\[
d_1^2 = 81 \ (\text{x})
\]
\[
d_2^2 = 141 \ (\text{x})
\]
\[
d_1^2 + d_2^2 = 225 \ = d_3^2 \ (\text{x})
\]
---
### Graph Description
The image presents a segment of the coordinate plane with labeled points and distances between them. It shows a horizontal number line (x-axis), and point markers at coordinates (6,0), (11,0), and (11,12).
---
**Note:** This content is intended for educational purposes, demonstrating the calculation and verification of the Pythagorean theorem with provided example coordinates.
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