Elementary & Intermediate Algebra
Elementary & Intermediate Algebra
4th Edition
ISBN: 9780134556079
Author: Sullivan, Michael, III, Struve, Katherine R., Mazzarella, Janet.
Publisher: Pearson,
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Chapter C.4, Problem 48E

a.

To determine

To sketch: The triangle ABC in cartesian plane.

b.

To determine

To find: The area of the triangle ABC.

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Simply:(p/(x-a))-(p/(x+a))
Q1lal Let X be an arbitrary infinite set and let r the family of all subsets F of X which do not contain a particular point x, EX and the complements F of all finite subsets F of X show that (X.r) is a topology. bl The nbhd system N(x) at x in a topological space X has the following properties NO- N(x) for any xX N1- If N EN(x) then x€N N2- If NEN(x), NCM then MeN(x) N3- If NEN(x), MEN(x) then NOMEN(x) N4- If N = N(x) then 3M = N(x) such that MCN then MeN(y) for any уем Show that there exist a unique topology τ on X. Q2\a\let (X,r) be the topology space and BST show that ẞ is base for a topology on X iff for any G open set xEG then there exist A Eẞ such that x E ACG. b\Let ẞ is a collection of open sets in X show that is base for a topology on X iff for each xex the collection B, (BEB\xEB) is is a nbhd base at x. - Q31 Choose only two: al Let A be a subspace of a space X show that FCA is closed iff F KOA, K is closed set in X. الرياضيات b\ Let X and Y be two topological space and f:X -…
Q1\ Let X be a topological space and let Int be the interior operation defined on P(X) such that 1₁.Int(X) = X 12. Int (A) CA for each A = P(X) 13. Int (int (A) = Int (A) for each A = P(X) 14. Int (An B) = Int(A) n Int (B) for each A, B = P(X) 15. A is open iff Int (A) = A Show that there exist a unique topology T on X. Q2\ Let X be a topological space and suppose that a nbhd base has been fixed at each x E X and A SCX show that A open iff A contains a basic nbdh of each its point Q3\ Let X be a topological space and and A CX show that A closed set iff every limit point of A is in A. A'S A ACA Q4\ If ẞ is a collection of open sets in X show that ẞ is a base for a topology on X iff for each x E X then ẞx = {BE B|x E B} is a nbhd base at x. Q5\ If A subspace of a topological space X, if x Є A show that V is nbhd of x in A iff V = Un A where U is nbdh of x in X.

Chapter C Solutions

Elementary & Intermediate Algebra

Ch. C.1 - Prob. 11ECh. C.1 - Prob. 12ECh. C.1 - Prob. 13ECh. C.1 - Prob. 14ECh. C.1 - Prob. 15ECh. C.1 - Prob. 16ECh. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18ECh. C.1 - Prob. 19ECh. C.1 - Prob. 20ECh. C.1 - Prob. 21ECh. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23ECh. C.1 - Prob. 24ECh. C.1 - Prob. 25ECh. C.1 - Prob. 26ECh. C.1 - Prob. 27ECh. C.1 - Prob. 28ECh. C.1 - Prob. 29ECh. C.1 - Prob. 30ECh. C.1 - Prob. 31ECh. C.1 - Prob. 32ECh. C.1 - Prob. 33ECh. C.1 - Prob. 34ECh. C.1 - Prob. 35ECh. C.1 - Prob. 36ECh. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38ECh. C.1 - Prob. 39ECh. C.1 - Prob. 40ECh. C.1 - Prob. 41ECh. C.1 - Prob. 42ECh. C.1 - Prob. 43ECh. C.1 - Prob. 44ECh. C.1 - Prob. 45ECh. C.1 - Prob. 46ECh. C.1 - Prob. 47ECh. C.1 - Prob. 48ECh. C.1 - Prob. 49ECh. C.1 - Prob. 50ECh. C.1 - Prob. 51ECh. C.1 - Prob. 52ECh. C.1 - Prob. 53ECh. C.1 - Prob. 54ECh. C.1 - Prob. 55ECh. C.1 - Prob. 56ECh. C.1 - Prob. 57ECh. C.1 - Prob. 58ECh. C.1 - Prob. 59ECh. C.1 - Prob. 60ECh. C.1 - Prob. 61ECh. C.1 - Prob. 62ECh. C.1 - Prob. 63ECh. C.1 - Prob. 64ECh. C.1 - Prob. 65ECh. C.1 - Prob. 66ECh. C.1 - Prob. 67ECh. C.1 - Prob. 68ECh. C.1 - Prob. 69ECh. C.1 - Prob. 70ECh. C.1 - Prob. 71ECh. C.1 - Prob. 72ECh. C.1 - Prob. 73ECh. C.1 - Prob. 74ECh. C.1 - Prob. 75ECh. C.1 - Prob. 76ECh. C.1 - Prob. 77ECh. C.1 - Prob. 78ECh. C.1 - Prob. 79ECh. C.1 - Centroid The medians of a triangle are the line...Ch. C.1 - Prob. 81ECh. C.1 - Prob. 82ECh. C.1 - Prob. 83ECh. C.1 - Prob. 84ECh. C.1 - In this section, we presented two algebraic...Ch. C.1 - Prob. 86ECh. C.1 - Prob. 87ECh. C.1 - In the process of solving a system of linear...Ch. C.1 - Prob. 89ECh. C.1 - Prob. 90ECh. C.1 - Prob. 91ECh. C.1 - Prob. 92ECh. C.1 - Prob. 93ECh. C.1 - Prob. 94ECh. C.1 - Prob. 95ECh. C.1 - Prob. 96ECh. C.2 - Prob. 1ECh. C.2 - A _______ to a system of equations consists of...Ch. C.2 - Prob. 3ECh. C.2 - Prob. 4ECh. C.2 - Prob. 5ECh. C.2 - Prob. 6ECh. C.2 - Prob. 7ECh. C.2 - Prob. 8ECh. C.2 - Prob. 9ECh. C.2 - Prob. 10ECh. C.2 - Prob. 11ECh. C.2 - Prob. 12ECh. C.2 - Prob. 13ECh. C.2 - Prob. 14ECh. C.2 - Prob. 15ECh. C.2 - Prob. 16ECh. C.2 - Prob. 17ECh. C.2 - Prob. 18ECh. C.2 - Prob. 19ECh. C.2 - Prob. 20ECh. C.2 - Prob. 21ECh. C.2 - Prob. 22ECh. C.2 - Prob. 23ECh. C.2 - Prob. 24ECh. C.2 - Prob. 25ECh. C.2 - Prob. 26ECh. C.2 - Prob. 27ECh. C.2 - Prob. 28ECh. C.2 - Prob. 29ECh. C.2 - Prob. 30ECh. C.2 - Prob. 31ECh. C.2 - Prob. 32ECh. C.2 - Prob. 33ECh. C.2 - Prob. 34ECh. C.2 - Prob. 35ECh. C.2 - Prob. 36ECh. C.2 - Prob. 37ECh. C.2 - Prob. 38ECh. C.2 - Prob. 39ECh. C.2 - Prob. 40ECh. C.2 - Prob. 41ECh. C.2 - Prob. 42ECh. C.2 - Prob. 43ECh. C.2 - Prob. 44ECh. C.2 - Prob. 45ECh. C.2 - Prob. 46ECh. C.2 - Prob. 47ECh. C.2 - Prob. 48ECh. C.2 - Prob. 49ECh. C.2 - Prob. 50ECh. C.2 - Prob. 51ECh. C.2 - Prob. 52ECh. C.2 - Prob. 53ECh. C.2 - Prob. 54ECh. C.2 - Prob. 55ECh. C.2 - Prob. 56ECh. C.2 - Prob. 57ECh. C.2 - Prob. 58ECh. C.2 - Prob. 59ECh. C.3 - Prob. 1ECh. C.3 - Prob. 2ECh. C.3 - Prob. 3ECh. C.3 - Prob. 4ECh. C.3 - Prob. 5ECh. C.3 - Prob. 6ECh. C.3 - Prob. 7ECh. C.3 - Prob. 8ECh. C.3 - Prob. 9ECh. C.3 - Prob. 10ECh. C.3 - Prob. 11ECh. C.3 - Prob. 12ECh. C.3 - Prob. 13ECh. C.3 - In Problems 13 and 14, solve each system of...Ch. C.3 - Prob. 15ECh. C.3 - Prob. 16ECh. C.3 - Prob. 17ECh. C.3 - Prob. 18ECh. C.3 - Prob. 19ECh. C.3 - Prob. 20ECh. C.3 - Prob. 21ECh. C.3 - Prob. 22ECh. C.3 - Prob. 23ECh. C.3 - Prob. 24ECh. C.3 - Prob. 25ECh. C.3 - Prob. 26ECh. C.3 - Prob. 27ECh. C.3 - Prob. 28ECh. C.3 - Prob. 29ECh. C.3 - Prob. 30ECh. C.3 - Prob. 31ECh. C.3 - Prob. 32ECh. C.3 - Prob. 33ECh. C.3 - Prob. 34ECh. C.3 - Prob. 35ECh. C.3 - Prob. 36ECh. C.3 - Prob. 37ECh. C.3 - Prob. 38ECh. C.3 - Prob. 39ECh. C.3 - Prob. 40ECh. C.3 - Prob. 41ECh. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43ECh. C.3 - Prob. 44ECh. C.3 - Prob. 45ECh. C.3 - Prob. 46ECh. C.3 - Prob. 47ECh. C.3 - Prob. 48ECh. C.3 - Prob. 49ECh. C.3 - Prob. 50ECh. C.3 - Prob. 51ECh. C.3 - Prob. 52ECh. C.3 - Prob. 53ECh. C.3 - Prob. 54ECh. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57ECh. C.3 - Prob. 58ECh. C.3 - Prob. 59ECh. C.3 - Prob. 60ECh. C.3 - Prob. 61ECh. C.3 - Prob. 62ECh. C.3 - Prob. 63ECh. C.3 - Prob. 64ECh. C.3 - Prob. 65ECh. C.3 - Prob. 66ECh. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68ECh. C.3 - Prob. 69ECh. C.3 - Prob. 70ECh. C.3 - Prob. 71ECh. C.3 - Prob. 72ECh. C.3 - Prob. 73ECh. C.3 - Prob. 74ECh. C.3 - Prob. 75ECh. C.3 - Prob. 76ECh. C.3 - Prob. 77ECh. C.3 - In Problems 45-50, solve each system of equations...Ch. C.3 - Prob. 79ECh. C.3 - Prob. 80ECh. C.3 - Finance Carissa has 20,000 to invest. Her...Ch. C.3 - Prob. 82ECh. C.3 - Prob. 83ECh. C.3 - Prob. 84ECh. C.3 - Prob. 85ECh. C.3 - Prob. 86ECh. C.3 - Prob. 87ECh. C.3 - Prob. 88ECh. C.3 - Prob. 89ECh. C.3 - Prob. 90ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.3 - Prob. 92ECh. C.3 - Prob. 93ECh. C.3 - Graphing calculators have the ability to solve...Ch. C.4 - D = |abcd| = _____________.Ch. C.4 - Prob. 2ECh. C.4 - Prob. 3ECh. C.4 - Prob. 4ECh. C.4 - Prob. 5ECh. C.4 - In Problems 5 and 6, use Cramers Rule to solve the...Ch. C.4 - Prob. 7ECh. C.4 - Prob. 8ECh. C.4 - Prob. 9ECh. C.4 - Prob. 10ECh. C.4 - Prob. 11ECh. C.4 - Prob. 12ECh. C.4 - Prob. 13ECh. C.4 - Prob. 14ECh. C.4 - Prob. 15ECh. C.4 - Prob. 16ECh. C.4 - Prob. 17ECh. C.4 - Prob. 18ECh. C.4 - In Problems 15-22, solve each system of equations...Ch. C.4 - Prob. 20ECh. C.4 - Prob. 21ECh. C.4 - Prob. 22ECh. C.4 - Prob. 23ECh. C.4 - Prob. 24ECh. C.4 - Prob. 25ECh. C.4 - Prob. 26ECh. C.4 - Prob. 27ECh. C.4 - Prob. 28ECh. C.4 - Prob. 29ECh. C.4 - Prob. 30ECh. C.4 - Prob. 31ECh. C.4 - Prob. 32ECh. C.4 - Prob. 33ECh. C.4 - Prob. 34ECh. C.4 - Prob. 35ECh. C.4 - Prob. 36ECh. C.4 - Prob. 37ECh. C.4 - Prob. 38ECh. C.4 - Prob. 39ECh. C.4 - Prob. 40ECh. C.4 - Prob. 41ECh. C.4 - Prob. 42ECh. C.4 - Prob. 43ECh. C.4 - Prob. 44ECh. C.4 - Prob. 45ECh. C.4 - Prob. 46ECh. C.4 - Prob. 47ECh. C.4 - Prob. 48ECh. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50ECh. C.4 - Prob. 51ECh. C.4 - Prob. 52ECh. C.4 - Prob. 53ECh. C.4 - Prob. 54ECh. C.4 - Prob. 55ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57ECh. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59ECh. C.4 - Prob. 60E
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