Let A, B and C be points on the plane with the following coordinates: A = (9,–4), B = (32,13), C = (–315, —243) Use determinants to find out which of the following points are on the same side of the line passing through A and B as the point C: = - 20 15 How to enter the solution. Enter indices of the points you select, separating them by commas. For example, if these points are P₁, P2, and P5 the you should enter: 1, 2, 5 10 5 P₁ = (-338, -257) P2 (240,166) P₁ = (-174, -138) P5 = (330, 234) P6 = (-13, 23) 0 0 P3 = (-176,-139) -10 A 10 20 30 B 40
Let A, B and C be points on the plane with the following coordinates: A = (9,–4), B = (32,13), C = (–315, —243) Use determinants to find out which of the following points are on the same side of the line passing through A and B as the point C: = - 20 15 How to enter the solution. Enter indices of the points you select, separating them by commas. For example, if these points are P₁, P2, and P5 the you should enter: 1, 2, 5 10 5 P₁ = (-338, -257) P2 (240,166) P₁ = (-174, -138) P5 = (330, 234) P6 = (-13, 23) 0 0 P3 = (-176,-139) -10 A 10 20 30 B 40
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Let \( A, B \) and \( C \) be points on the plane with the following coordinates:
\[
A = (9, -4), \quad B = (32, 13), \quad C = (-315, -243)
\]
Use determinants to find out which of the following points are on the same side of the line passing through \( A \) and \( B \) as the point \( C \):
\[
P_1 = (-338, -257) \quad P_2 = (240, 166) \quad P_3 = (-176, -139)
\]
\[
P_4 = (-174, -138) \quad P_5 = (330, 234) \quad P_6 = (-13, 23)
\]
### How to enter the solution.
Enter indices of the points you select, separating them by commas. For example, if these points are \( P_1, P_2, \) and \( P_5 \) you should enter:
\[ 1, \quad 2, \quad 5 \]
### Graph Explanation
The graph shows a coordinate plane with a blue line passing through points \( A \) and \( B \). The coordinates are labeled with point \( A \) at (9, -4) and point \( B \) at (32, 13). A diagonal line runs from point \( A \) to point \( B \). The background grid indicates a scaled x and y-axis for reference.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb493ecdd-cbdc-400d-a05a-de2010eb2d52%2F3d92d4a3-b37b-4dce-a0ad-366c7a03584b%2F2o929as_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( A, B \) and \( C \) be points on the plane with the following coordinates:
\[
A = (9, -4), \quad B = (32, 13), \quad C = (-315, -243)
\]
Use determinants to find out which of the following points are on the same side of the line passing through \( A \) and \( B \) as the point \( C \):
\[
P_1 = (-338, -257) \quad P_2 = (240, 166) \quad P_3 = (-176, -139)
\]
\[
P_4 = (-174, -138) \quad P_5 = (330, 234) \quad P_6 = (-13, 23)
\]
### How to enter the solution.
Enter indices of the points you select, separating them by commas. For example, if these points are \( P_1, P_2, \) and \( P_5 \) you should enter:
\[ 1, \quad 2, \quad 5 \]
### Graph Explanation
The graph shows a coordinate plane with a blue line passing through points \( A \) and \( B \). The coordinates are labeled with point \( A \) at (9, -4) and point \( B \) at (32, 13). A diagonal line runs from point \( A \) to point \( B \). The background grid indicates a scaled x and y-axis for reference.
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