Given a directed line from point p0(x0, y0) to pl(x1, y1), you can use the following condition to decide whether a point p2(x2, y2) is on the left side of the line, on the right side of the line, or on the same line (see the below Figure) >0 (x1 - x0)*(y2 - y0) - (x2 - x0)*(y1 - y0)=0 <0 p2 Python Turtle Graphics pl p2 is on the left side of the ing 814-100,-50) (a) pl (a) Write a program that prompts the user to enter the x- and y-coordinates for the three points po, pl, and p2, and displays a message to indicate whether p2 is on the left side, the right side, or on the line from po to p1. Display the three points using turtle library, as shown in the below sample runs. 02 (100,40) p2 74 Python Turtle Graphics p2 is on the left side of the line p2 is on the same line p2 is on the right side of the line pl 01-100, 50) 02 (100,40) 2 is on the right side of the inc (b) p2 (c) 74 Python Turtle Graphics p2 is on the same line pr(-50,-50) (c) p2 (50, 50)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Enter circlel's center x coordinate: 4.4
Enter circlel's center y-coordinates: 5.5
Enter circlel's radius: 1
Enter circle2's center x coordinate: 5.5
Enter circle2's center y-coordinates: 7.2
Enter circle2's radius: 1
circle2 does not overlap circle1
Given a directed line from point p0(x0, y0) to pl(x1, y1), you can use the following condition to
decide whether a point p2(x2, y2) is on the left side of the line, on the right side of the line, or on
the same line (see the below Figure)
>0
(x1 - x0)*(y2 - y0) - (x2 - x0)*(y1 - y0)=0
<0
p2
po
(a)
74 Python Turtle Graphics
pl
•
ps on the left side of the in
14100,-50)
(a)
Lox
po
p2 (100,40)
pl
(b)
Write a program that prompts the user to enter the x- and y-coordinates for the three points p0,
pl, and p2, and displays a message to indicate whether p2 is on the left side, the right side, or on
the line from po to pl. Display the three points using turtle library, as shown in the below sample
runs.
74
p2
Python Turtle Graphics
p2 is on the left side of the line
p2 is on the same line
p2 is on the right side of the line
01 (-100, 50)
(b)
p2 is on the right side of the inc
Here are sample runs:
Enter your lottery pick (three digits): 591
Lottery is 248
Sorry, no match
Enter your lottery pick (three digits): 987
Lottery is 637
Match one digit: you win $1,000
РО
-OX
p2 (100,40)
Enter your lottery pick (three digits): 683
Lottery is 836
Match all digits: you win $3,000
Enter your lottery pick (three digits): 494
Lottery is 494
Exact match: you win $10,000
p2
(c)
pl
74 Python Turtle Graphics
p2 is on the same line
pr(-50,-50)
Write a program that generates a lottery of a three-digit number. The program prompts the user
to enter a three-digit number and determines whether the user wins according to the following
rules:
(c)
a. If the user input matches the lottery number in the exact order, the award is $10,000.
b. If all digits in the user input match all digits in the lottery number, the award is $3,000.
c. If one digit in the user input matches a digit in the lottery number, the award is $1,000.
-OX
p2 (50, 50)
Transcribed Image Text:Enter circlel's center x coordinate: 4.4 Enter circlel's center y-coordinates: 5.5 Enter circlel's radius: 1 Enter circle2's center x coordinate: 5.5 Enter circle2's center y-coordinates: 7.2 Enter circle2's radius: 1 circle2 does not overlap circle1 Given a directed line from point p0(x0, y0) to pl(x1, y1), you can use the following condition to decide whether a point p2(x2, y2) is on the left side of the line, on the right side of the line, or on the same line (see the below Figure) >0 (x1 - x0)*(y2 - y0) - (x2 - x0)*(y1 - y0)=0 <0 p2 po (a) 74 Python Turtle Graphics pl • ps on the left side of the in 14100,-50) (a) Lox po p2 (100,40) pl (b) Write a program that prompts the user to enter the x- and y-coordinates for the three points p0, pl, and p2, and displays a message to indicate whether p2 is on the left side, the right side, or on the line from po to pl. Display the three points using turtle library, as shown in the below sample runs. 74 p2 Python Turtle Graphics p2 is on the left side of the line p2 is on the same line p2 is on the right side of the line 01 (-100, 50) (b) p2 is on the right side of the inc Here are sample runs: Enter your lottery pick (three digits): 591 Lottery is 248 Sorry, no match Enter your lottery pick (three digits): 987 Lottery is 637 Match one digit: you win $1,000 РО -OX p2 (100,40) Enter your lottery pick (three digits): 683 Lottery is 836 Match all digits: you win $3,000 Enter your lottery pick (three digits): 494 Lottery is 494 Exact match: you win $10,000 p2 (c) pl 74 Python Turtle Graphics p2 is on the same line pr(-50,-50) Write a program that generates a lottery of a three-digit number. The program prompts the user to enter a three-digit number and determines whether the user wins according to the following rules: (c) a. If the user input matches the lottery number in the exact order, the award is $10,000. b. If all digits in the user input match all digits in the lottery number, the award is $3,000. c. If one digit in the user input matches a digit in the lottery number, the award is $1,000. -OX p2 (50, 50)
Write a program that lets the user guess whether a flipped coin displays the head or the tail. The
program randomly generates an integer 0 or 1, which represents head or tail. The program
prompts the user to enter a guess and reports whether the guess is correct or incorrect.
Here are two sample runs:
Guess head or tail? Enter 0 for head and 1 for tail: 1
1
Correct guess
Guess head or tail? Enter 0 for head and 1 for tail: 1
0
Sorry, it is a head
Write a program that prompts the user to enter the center coordinates and radius of two circles
and determines whether the second circle is inside the first or overlaps with the first, as shown in
the below figure. (Hint: circle2 is inside circle1 if the distance between the two centers +r2
<= r1 and circle2 overlaps circlel if the distance between the two centers <=r1 + r2.
Test your program to cover all cases.)
(x2, y2)
(x1, yl)
Sample three runs:
Enter circlel's center x coordinate: 0.5
Enter circlel's center y-coordinates: 5.1
Enter circlel's radius: 13
Enter circle2's center x coordinate: 1.0
Enter circle2's center y-coordinates: 1.7
Enter circle2's radius: 4.5
circle2 is inside circle1
Enter circlel's center x coordinate: 4.4
Enter circlel's center y-coordinates: 5.7
Enter circlel's radius: 5.5
Enter circle2's center x coordinate: 6.7
Enter circle2's center y-coordinates: 3.5
Enter circle2's radius: 3
circle2 overlaps circlel
(x1, y1)
12
(x2, y2),
Transcribed Image Text:Write a program that lets the user guess whether a flipped coin displays the head or the tail. The program randomly generates an integer 0 or 1, which represents head or tail. The program prompts the user to enter a guess and reports whether the guess is correct or incorrect. Here are two sample runs: Guess head or tail? Enter 0 for head and 1 for tail: 1 1 Correct guess Guess head or tail? Enter 0 for head and 1 for tail: 1 0 Sorry, it is a head Write a program that prompts the user to enter the center coordinates and radius of two circles and determines whether the second circle is inside the first or overlaps with the first, as shown in the below figure. (Hint: circle2 is inside circle1 if the distance between the two centers +r2 <= r1 and circle2 overlaps circlel if the distance between the two centers <=r1 + r2. Test your program to cover all cases.) (x2, y2) (x1, yl) Sample three runs: Enter circlel's center x coordinate: 0.5 Enter circlel's center y-coordinates: 5.1 Enter circlel's radius: 13 Enter circle2's center x coordinate: 1.0 Enter circle2's center y-coordinates: 1.7 Enter circle2's radius: 4.5 circle2 is inside circle1 Enter circlel's center x coordinate: 4.4 Enter circlel's center y-coordinates: 5.7 Enter circlel's radius: 5.5 Enter circle2's center x coordinate: 6.7 Enter circle2's center y-coordinates: 3.5 Enter circle2's radius: 3 circle2 overlaps circlel (x1, y1) 12 (x2, y2),
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