Holt Mcdougal Larson Algebra 2: Student Edition 2012
1st Edition
ISBN: 9780547647159
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
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Expert Solution & Answer
Chapter 8, Problem 8TP
Solution
To calculate: Without using the areas formula, the ellipses' representations of their areas.
They both share a space.
Given information: This leads to the conclusion that these ellipses are identical. Just the first one translated so that the center is in the second one.
Calculation:
The ellipse
Can be expressed as
A statement that its half-axes:
And
The half-axes of the ellipse
Are equivalent. This leads us to the conclusion that these ellipses are identical. The second one has the same area because it is simply the first one translated so that its center is
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
Ch. 8.1 - Prob. 1GPCh. 8.1 - Prob. 2GPCh. 8.1 - Prob. 3GPCh. 8.1 - Prob. 4GPCh. 8.1 - Prob. 5GPCh. 8.1 - Prob. 6GPCh. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Prob. 3ECh. 8.1 - Prob. 4E
Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - Prob. 27ECh. 8.1 - Prob. 28ECh. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Prob. 38ECh. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Prob. 46ECh. 8.1 - Prob. 47PSCh. 8.1 - Prob. 48PSCh. 8.1 - Prob. 49PSCh. 8.1 - Prob. 50PSCh. 8.1 - Prob. 51PSCh. 8.1 - Prob. 52PSCh. 8.1 - Prob. 53PSCh. 8.1 - Prob. 54PSCh. 8.1 - Prob. 55PSCh. 8.1 - Prob. 56PSCh. 8.1 - Prob. 57PSCh. 8.2 - Prob. 1GPCh. 8.2 - Prob. 2GPCh. 8.2 - Prob. 3GPCh. 8.2 - Prob. 4GPCh. 8.2 - Prob. 5GPCh. 8.2 - Prob. 6GPCh. 8.2 - Prob. 7GPCh. 8.2 - Prob. 8GPCh. 8.2 - Prob. 9GPCh. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Prob. 40ECh. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - Prob. 46ECh. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - Prob. 53ECh. 8.2 - Prob. 54ECh. 8.2 - Prob. 55PSCh. 8.2 - Prob. 56PSCh. 8.2 - Prob. 57PSCh. 8.2 - Prob. 58PSCh. 8.2 - Prob. 59PSCh. 8.2 - Prob. 60PSCh. 8.3 - Prob. 1GPCh. 8.3 - Prob. 2GPCh. 8.3 - Prob. 3GPCh. 8.3 - Prob. 4GPCh. 8.3 - Prob. 5GPCh. 8.3 - Prob. 6GPCh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Prob. 19ECh. 8.3 - Prob. 20ECh. 8.3 - Prob. 21ECh. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - Prob. 41ECh. 8.3 - Prob. 42ECh. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 51ECh. 8.3 - Prob. 52ECh. 8.3 - Prob. 53ECh. 8.3 - Prob. 54ECh. 8.3 - Prob. 55ECh. 8.3 - Prob. 56ECh. 8.3 - Prob. 57ECh. 8.3 - Prob. 58ECh. 8.3 - Prob. 59ECh. 8.3 - Prob. 60ECh. 8.3 - Prob. 61ECh. 8.3 - Prob. 62PSCh. 8.3 - Prob. 63PSCh. 8.3 - Prob. 64PSCh. 8.3 - Prob. 65PSCh. 8.3 - Prob. 66PSCh. 8.3 - Prob. 67PSCh. 8.3 - Prob. 68PSCh. 8.3 - Prob. 69PSCh. 8.3 - Prob. 1QCh. 8.3 - Prob. 2QCh. 8.3 - Prob. 3QCh. 8.3 - Prob. 4QCh. 8.3 - Prob. 5QCh. 8.3 - Prob. 6QCh. 8.3 - Prob. 7QCh. 8.3 - Prob. 8QCh. 8.3 - Prob. 9QCh. 8.3 - Prob. 10QCh. 8.3 - Prob. 11QCh. 8.3 - Prob. 12QCh. 8.3 - Prob. 13QCh. 8.3 - Prob. 14QCh. 8.3 - Prob. 15QCh. 8.3 - Prob. 16QCh. 8.3 - Prob. 17QCh. 8.3 - Prob. 18QCh. 8.3 - Prob. 19QCh. 8.3 - Prob. 1PCh. 8.3 - Prob. 2PCh. 8.3 - Prob. 3PCh. 8.3 - Prob. 4PCh. 8.3 - Prob. 5PCh. 8.3 - Prob. 6PCh. 8.4 - Prob. 1GPCh. 8.4 - Prob. 2GPCh. 8.4 - Prob. 3GPCh. 8.4 - Prob. 4GPCh. 8.4 - Prob. 5GPCh. 8.4 - Prob. 6GPCh. 8.4 - Prob. 7GPCh. 8.4 - Prob. 8GPCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - Prob. 19ECh. 8.4 - Prob. 20ECh. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - Prob. 27ECh. 8.4 - Prob. 28ECh. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - Prob. 39ECh. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Prob. 45ECh. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48PSCh. 8.4 - Prob. 49PSCh. 8.4 - Prob. 50PSCh. 8.4 - Prob. 51PSCh. 8.4 - Prob. 52PSCh. 8.4 - Prob. 53PSCh. 8.4 - Prob. 1PCh. 8.4 - Prob. 2PCh. 8.4 - Prob. 3PCh. 8.4 - Prob. 1MRPSCh. 8.4 - Prob. 2MRPSCh. 8.4 - Prob. 3MRPSCh. 8.4 - Prob. 4MRPSCh. 8.4 - Prob. 5MRPSCh. 8.4 - Prob. 6MRPSCh. 8.4 - Prob. 7MRPSCh. 8.4 - Prob. 8MRPSCh. 8.4 - Prob. 9MRPSCh. 8.5 - Prob. 1GPCh. 8.5 - Prob. 2GPCh. 8.5 - Prob. 3GPCh. 8.5 - Prob. 4GPCh. 8.5 - Prob. 5GPCh. 8.5 - Prob. 6GPCh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - Prob. 10ECh. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.5 - Prob. 21ECh. 8.5 - Prob. 22ECh. 8.5 - Prob. 23ECh. 8.5 - Prob. 24ECh. 8.5 - Prob. 25ECh. 8.5 - Prob. 26ECh. 8.5 - Prob. 27ECh. 8.5 - Prob. 28ECh. 8.5 - Prob. 29ECh. 8.5 - Prob. 30ECh. 8.5 - Prob. 31ECh. 8.5 - Prob. 32ECh. 8.5 - Prob. 33ECh. 8.5 - Prob. 34ECh. 8.5 - Prob. 35ECh. 8.5 - Prob. 36ECh. 8.5 - Prob. 37ECh. 8.5 - Prob. 38PSCh. 8.5 - Prob. 39PSCh. 8.5 - Prob. 40PSCh. 8.5 - Prob. 41PSCh. 8.5 - Prob. 42PSCh. 8.5 - Prob. 43PSCh. 8.5 - Prob. 44PSCh. 8.5 - Prob. 1QCh. 8.5 - Prob. 2QCh. 8.5 - Prob. 3QCh. 8.5 - Prob. 4QCh. 8.5 - Prob. 5QCh. 8.5 - Prob. 6QCh. 8.5 - Prob. 7QCh. 8.5 - Prob. 8QCh. 8.5 - Prob. 9QCh. 8.5 - Prob. 10QCh. 8.5 - Prob. 11QCh. 8.5 - Prob. 12QCh. 8.5 - Prob. 13QCh. 8.6 - Prob. 1GPCh. 8.6 - Prob. 2GPCh. 8.6 - Prob. 3GPCh. 8.6 - Prob. 4GPCh. 8.6 - Prob. 5GPCh. 8.6 - Prob. 6GPCh. 8.6 - Prob. 7GPCh. 8.6 - Prob. 8GPCh. 8.6 - Prob. 9GPCh. 8.6 - Prob. 10GPCh. 8.6 - Prob. 11GPCh. 8.6 - Prob. 12GPCh. 8.6 - Prob. 13GPCh. 8.6 - Prob. 14GPCh. 8.6 - Prob. 1ECh. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - Prob. 5ECh. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - Prob. 9ECh. 8.6 - Prob. 10ECh. 8.6 - Prob. 11ECh. 8.6 - Prob. 12ECh. 8.6 - Prob. 13ECh. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - Prob. 16ECh. 8.6 - Prob. 17ECh. 8.6 - Prob. 18ECh. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - Prob. 23ECh. 8.6 - Prob. 24ECh. 8.6 - Prob. 25ECh. 8.6 - Prob. 26ECh. 8.6 - Prob. 27ECh. 8.6 - Prob. 28ECh. 8.6 - Prob. 29ECh. 8.6 - Prob. 30ECh. 8.6 - Prob. 31ECh. 8.6 - Prob. 32ECh. 8.6 - Prob. 33ECh. 8.6 - Prob. 34ECh. 8.6 - Prob. 35ECh. 8.6 - Prob. 36ECh. 8.6 - Prob. 37ECh. 8.6 - Prob. 38ECh. 8.6 - Prob. 39ECh. 8.6 - Prob. 40ECh. 8.6 - Prob. 41ECh. 8.6 - Prob. 42ECh. 8.6 - Prob. 43ECh. 8.6 - Prob. 44ECh. 8.6 - Prob. 45ECh. 8.6 - Prob. 46ECh. 8.6 - Prob. 47ECh. 8.6 - Prob. 48PSCh. 8.6 - Prob. 49PSCh. 8.6 - Prob. 50PSCh. 8.6 - Prob. 51PSCh. 8.6 - Prob. 52PSCh. 8.6 - Prob. 53PSCh. 8.7 - Prob. 1GPCh. 8.7 - Prob. 2GPCh. 8.7 - Prob. 3GPCh. 8.7 - Prob. 4GPCh. 8.7 - Prob. 5GPCh. 8.7 - Prob. 6GPCh. 8.7 - Prob. 7GPCh. 8.7 - Prob. 8GPCh. 8.7 - Prob. 9GPCh. 8.7 - Prob. 10GPCh. 8.7 - Prob. 1ECh. 8.7 - Prob. 2ECh. 8.7 - Prob. 3ECh. 8.7 - Prob. 4ECh. 8.7 - Prob. 5ECh. 8.7 - Prob. 6ECh. 8.7 - Prob. 7ECh. 8.7 - Prob. 8ECh. 8.7 - Prob. 9ECh. 8.7 - Prob. 10ECh. 8.7 - Prob. 11ECh. 8.7 - Prob. 12ECh. 8.7 - Prob. 13ECh. 8.7 - Prob. 14ECh. 8.7 - Prob. 15ECh. 8.7 - Prob. 16ECh. 8.7 - Prob. 17ECh. 8.7 - Prob. 18ECh. 8.7 - Prob. 19ECh. 8.7 - Prob. 20ECh. 8.7 - Prob. 21ECh. 8.7 - Prob. 22ECh. 8.7 - Prob. 23ECh. 8.7 - Prob. 24ECh. 8.7 - Prob. 25ECh. 8.7 - Prob. 26ECh. 8.7 - Prob. 27ECh. 8.7 - Prob. 28ECh. 8.7 - Prob. 29ECh. 8.7 - Prob. 30ECh. 8.7 - Prob. 31ECh. 8.7 - Prob. 32ECh. 8.7 - Prob. 33ECh. 8.7 - Prob. 34ECh. 8.7 - Prob. 35ECh. 8.7 - Prob. 36ECh. 8.7 - Prob. 37ECh. 8.7 - Prob. 38ECh. 8.7 - Prob. 39PSCh. 8.7 - Prob. 40PSCh. 8.7 - Prob. 41PSCh. 8.7 - Prob. 42PSCh. 8.7 - Prob. 43PSCh. 8.7 - Prob. 44PSCh. 8.7 - Prob. 45PSCh. 8.7 - Prob. 1QCh. 8.7 - Prob. 2QCh. 8.7 - Prob. 3QCh. 8.7 - Prob. 4QCh. 8.7 - Prob. 5QCh. 8.7 - Prob. 6QCh. 8.7 - Prob. 7QCh. 8.7 - Prob. 8QCh. 8.7 - Prob. 9QCh. 8.7 - Prob. 10QCh. 8.7 - Prob. 11QCh. 8.7 - Prob. 12QCh. 8.7 - Prob. 13QCh. 8.7 - Prob. 14QCh. 8.7 - Prob. 1PCh. 8.7 - Prob. 2PCh. 8.7 - Prob. 3PCh. 8.7 - Prob. 4PCh. 8.7 - Prob. 5PCh. 8.7 - Prob. 6PCh. 8.7 - Prob. 7PCh. 8.7 - Prob. 8PCh. 8.7 - Prob. 9PCh. 8.7 - Prob. 10PCh. 8.7 - Prob. 11PCh. 8.7 - Prob. 12PCh. 8.7 - Prob. 13PCh. 8.7 - Prob. 14PCh. 8.7 - Prob. 15PCh. 8.7 - Prob. 1MRPSCh. 8.7 - Prob. 2MRPSCh. 8.7 - Prob. 3MRPSCh. 8.7 - Prob. 4MRPSCh. 8.7 - Prob. 5MRPSCh. 8.7 - Prob. 6MRPSCh. 8 - Prob. 1VECh. 8 - Prob. 2VECh. 8 - Prob. 3VECh. 8 - Prob. 4VECh. 8 - Prob. 5REAECh. 8 - Prob. 6REAECh. 8 - Prob. 7REAECh. 8 - Prob. 8REAECh. 8 - Prob. 9REAECh. 8 - Prob. 10REAECh. 8 - Prob. 11REAECh. 8 - Prob. 12REAECh. 8 - Prob. 13REAECh. 8 - Prob. 14REAECh. 8 - Prob. 15REAECh. 8 - Prob. 16REAECh. 8 - Prob. 17REAECh. 8 - Prob. 18REAECh. 8 - Prob. 19REAECh. 8 - Prob. 20REAECh. 8 - Prob. 21REAECh. 8 - Prob. 22REAECh. 8 - Prob. 23REAECh. 8 - Prob. 24REAECh. 8 - Prob. 25REAECh. 8 - Prob. 26REAECh. 8 - Prob. 27REAECh. 8 - Prob. 28REAECh. 8 - Prob. 29REAECh. 8 - Prob. 30REAECh. 8 - Prob. 31REAECh. 8 - Prob. 32REAECh. 8 - Prob. 33REAECh. 8 - Prob. 34REAECh. 8 - Prob. 35REAECh. 8 - Prob. 36REAECh. 8 - Prob. 37REAECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Prob. 19TCh. 8 - Prob. 20TCh. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25TCh. 8 - Prob. 26TCh. 8 - Prob. 27TCh. 8 - Prob. 28TCh. 8 - Prob. 29TCh. 8 - Prob. 30TCh. 8 - Prob. 31TCh. 8 - Prob. 32TCh. 8 - Prob. 33TCh. 8 - Prob. 34TCh. 8 - Prob. 1PCh. 8 - Prob. 2PCh. 8 - Prob. 1TPCh. 8 - Prob. 2TPCh. 8 - Prob. 3TPCh. 8 - Prob. 4TPCh. 8 - Prob. 5TPCh. 8 - Prob. 6TPCh. 8 - Prob. 7TPCh. 8 - Prob. 8TPCh. 8 - Prob. 9TPCh. 8 - Prob. 10TPCh. 8 - Prob. 11TPCh. 8 - Prob. 12TPCh. 8 - Prob. 13TPCh. 8 - Prob. 14TPCh. 8 - Prob. 15TPCh. 8 - Prob. 16TPCh. 8 - Prob. 17TPCh. 8 - Prob. 18TP
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