Explanation Procedure used: To find the distance between the pair of points on the rectangular coordinates: 1) Use the formula d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 , where P 1 and P 2 are two points with coordinates ( x 1 , y 1 ) and ( x 2 , y 2 ) respectively. 2) Substitute the values for x 1 , y 1 , x 2 and y 2 . 3) Evaluate to find d . To find the coordinates of the midpoint of a line segment if given the coordinates of the end points: 1) Average the respective coordinates of the end points of the segment using the formula given by, midpoint = ( x 1 + x 2 2 , y 1 + y 2 2 ) , where P 1 and P 2 are end points of the segment P 1 = ( x 1 , y 1 ) and P 2 = ( x 2 , y 2 ) respectively. 2) Substitute the values for x 1 , y 1 , x 2 and y 2 . 3) Evaluate to find the coordinates of the midpoint. Calculation: Given that, the points are ( x 1 , y 1 ) = ( 5 , 2 ) and ( x 2 , y 2 ) = ( − 7 , − 3 ) . Obtain the distance between pair of points as follows. Substitute ( x 1 , y 1 ) = ( 5 , 2 ) and ( x 2 , y 2 ) = ( − 7 , − 3 ) in the formula for distance between the pair of points as, d = ( − 7 − 5 ) 2 − ( − 3 − 2 ) 2 ( Substitute the values ) = ( − 12 ) 2 + ( − 5 ) 2 <

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

10th Edition

ISBN: 9780137400010

Author: Cheryl Cleaves, Margie Hobbs

Publisher: PEARSON+

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on …

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Chapter 18, Problem 18PT

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The distance between each pair of points and find the coordinates of the midpoint of the line segment made by the pairs of points. Round to the tenths.

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Chapter 18, Problem 17PT

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Page < 1 of 2 - ZOOM + 1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix A. = [{² 1] A = b) Verify that PT AP gives the correct diagonal form. 2 01 -2 3 2) Given the following matrices A = -1 0 1] an and B = 0 1 -3 2 find the following matrices: a) (AB) b) (BA)T 3) Find the inverse of the following matrix A using Gauss-Jordan elimination or adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I). [1 1 1 A = 3 5 4 L3 6 5 4) Solve the following system of linear equations using any one of Cramer's Rule, Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and check the correctness of your answer. 4x-y-z=1 2x + 2y + 3z = 10 5x-2y-2z = -1 5) a) Describe the zero vector and the additive inverse of a vector in the vector space, M3,3. b) Determine if the following set S is a subspace of M3,3 with the standard operations. Show all appropriate supporting work.

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Chapter 18 Solutions

Pearson eText for College Mathematics for Trades and Technologies -- Instant Access (Pearson+)

Ch. 18.1 - Evaluate to the nearest tenth. Ch. 18.1 - Prob. 2LC Ch. 18.1 - Prob. 1E Ch. 18.1 - Prob. 2E Ch. 18.1 - Prob. 3E Ch. 18.1 - Prob. 4E Ch. 18.1 - Prob. 5E Ch. 18.1 - Prob. 6E Ch. 18.1 - Prob. 7E Ch. 18.1 - Prob. 8E

Ch. 18.1 - Prob. 9E Ch. 18.1 - Prob. 10E Ch. 18.1 - Prob. 11E Ch. 18.1 - Prob. 12E Ch. 18.1 - Prob. 13E Ch. 18.1 - Prob. 14E Ch. 18.1 - Prob. 15E Ch. 18.1 - Prob. 16E Ch. 18.2 - Evaluate . Ch. 18.2 - Prob. 2LC Ch. 18.2 - Prob. 1E Ch. 18.2 - Prob. 2E Ch. 18.2 - Prob. 3E Ch. 18.2 - Prob. 4E Ch. 18.2 - Prob. 5E Ch. 18.2 - Prob. 6E Ch. 18.2 - Prob. 7E Ch. 18.2 - Prob. 8E Ch. 18.2 - Prob. 9E Ch. 18.2 - Prob. 10E Ch. 18.2 - Prob. 11E Ch. 18.2 - Solve the problems. Round final answers to the...Ch. 18.2 - Prob. 13E Ch. 18.2 - Prob. 14E Ch. 18.2 - Prob. 15E Ch. 18.2 - Prob. 16E Ch. 18.2 - Prob. 17E Ch. 18.2 - Prob. 18E Ch. 18.2 - Prob. 19E Ch. 18.2 - Prob. 20E Ch. 18.2 - Prob. 21E Ch. 18.2 - Prob. 22E Ch. 18.2 - Prob. 23E Ch. 18.2 - Prob. 24E Ch. 18.2 - Prob. 25E Ch. 18.2 - Prob. 26E Ch. 18.2 - Prob. 27E Ch. 18.2 - Prob. 28E Ch. 18.3 - Prob. 1LC Ch. 18.3 - Prob. 1E Ch. 18.3 - Prob. 2E Ch. 18.3 - Prob. 3E Ch. 18.3 - Prob. 4E Ch. 18.3 - Prob. 5E Ch. 18.3 - Prob. 6E Ch. 18.3 - Prob. 7E Ch. 18.3 - Prob. 8E Ch. 18.3 - Prob. 9E Ch. 18.3 - Prob. 10E Ch. 18.3 - Prob. 11E Ch. 18.3 - Prob. 12E Ch. 18.3 - Prob. 13E Ch. 18.3 - Prob. 14E Ch. 18.3 - Prob. 15E Ch. 18.3 - Prob. 16E Ch. 18.3 - Prob. 17E Ch. 18.3 - Prob. 18E Ch. 18.3 - Prob. 19E Ch. 18.3 - Prob. 20E Ch. 18.3 - Prob. 21E Ch. 18.3 - Prob. 22E Ch. 18.3 - Prob. 23E Ch. 18.3 - Prob. 24E Ch. 18.3 - Prob. 25E Ch. 18.3 - Prob. 26E Ch. 18.3 - Prob. 27E Ch. 18.3 - Prob. 28E Ch. 18.3 - Prob. 29E Ch. 18.3 - Prob. 30E Ch. 18.3 - Prob. 31E Ch. 18.3 - Prob. 32E Ch. 18.3 - Prob. 33E Ch. 18.3 - Prob. 34E Ch. 18.3 - Prob. 35E Ch. 18.3 - Prob. 36E Ch. 18.3 - Prob. 37E Ch. 18.3 - Prob. 38E Ch. 18.3 - Prob. 39E Ch. 18.3 - Prob. 40E Ch. 18.3 - Prob. 41E Ch. 18.3 - Prob. 42E Ch. 18.3 - Prob. 43E Ch. 18.3 - Prob. 44E Ch. 18.3 - Prob. 45E Ch. 18.3 - Prob. 46E Ch. 18.3 - Prob. 47E Ch. 18.3 - Prob. 48E Ch. 18.4 - Prob. 1LC Ch. 18.4 - Prob. 1E Ch. 18.4 - Prob. 2E Ch. 18.4 - Prob. 3E Ch. 18.4 - Prob. 4E Ch. 18.4 - Prob. 5E Ch. 18.4 - Prob. 6E Ch. 18.4 - Prob. 7E Ch. 18.4 - Prob. 8E Ch. 18.4 - Prob. 9E Ch. 18.4 - Prob. 10E Ch. 18.4 - Prob. 11E Ch. 18.4 - Prob. 12E Ch. 18.4 - Prob. 13E Ch. 18.4 - Prob. 14E Ch. 18.4 - Prob. 15E Ch. 18.4 - Prob. 16E Ch. 18.4 - Prob. 17E Ch. 18.4 - Prob. 18E Ch. 18.4 - Prob. 19E Ch. 18.4 - Prob. 20E Ch. 18 - Prob. 1RE Ch. 18 - Prob. 2RE Ch. 18 - Prob. 3RE Ch. 18 - Prob. 4RE Ch. 18 - Prob. 5RE Ch. 18 - Prob. 6RE Ch. 18 - Prob. 7RE Ch. 18 - Prob. 8RE Ch. 18 - Prob. 9RE Ch. 18 - Find AB if (see Fig. 18–111). Ch. 18 - Use Fig. 18–112 to solve the following exercises....Ch. 18 - Prob. 12RE Ch. 18 - Prob. 13RE Ch. 18 - Prob. 14RE Ch. 18 - Prob. 15RE Ch. 18 - Use Fig. 18–112 to solve the following exercises....Ch. 18 - Prob. 17RE Ch. 18 - Prob. 18RE Ch. 18 - Prob. 19RE Ch. 18 - Solve the following problems. Round the final...Ch. 18 - Prob. 21RE Ch. 18 - Prob. 22RE Ch. 18 - Prob. 23RE Ch. 18 - Prob. 24RE Ch. 18 - Prob. 25RE Ch. 18 - Prob. 26RE Ch. 18 - Prob. 27RE Ch. 18 - Prob. 28RE Ch. 18 - Prob. 29RE Ch. 18 - Use Fig. 18–115 to solve the following exercises....Ch. 18 - Prob. 31RE Ch. 18 - Prob. 32RE Ch. 18 - Prob. 33RE Ch. 18 - Prob. 34RE Ch. 18 - Prob. 35RE Ch. 18 - Solve. Round your final answers to the nearest...Ch. 18 - Prob. 37RE Ch. 18 - Prob. 38RE Ch. 18 - Prob. 39RE Ch. 18 - Prob. 40RE Ch. 18 - Prob. 41RE Ch. 18 - Prob. 42RE Ch. 18 - Prob. 43RE Ch. 18 - Prob. 44RE Ch. 18 - Prob. 45RE Ch. 18 - Prob. 46RE Ch. 18 - Prob. 47RE Ch. 18 - Prob. 48RE Ch. 18 - Prob. 49RE Ch. 18 - Prob. 50RE Ch. 18 - Prob. 51RE Ch. 18 - Prob. 52RE Ch. 18 - Prob. 53RE Ch. 18 - Prob. 54RE Ch. 18 - Prob. 55RE Ch. 18 - Prob. 56RE Ch. 18 - Prob. 57RE Ch. 18 - Prob. 58RE Ch. 18 - Prob. 59RE Ch. 18 - Prob. 60RE Ch. 18 - Prob. 61RE Ch. 18 - Find the distance between each pair of points....Ch. 18 - Prob. 63RE Ch. 18 - Prob. 64RE Ch. 18 - Prob. 65RE Ch. 18 - Prob. 66RE Ch. 18 - Prob. 67RE Ch. 18 - Prob. 68RE Ch. 18 - Prob. 69RE Ch. 18 - Prob. 70RE Ch. 18 - Prob. 71RE Ch. 18 - Prob. 72RE Ch. 18 - Prob. 73RE Ch. 18 - Prob. 74RE Ch. 18 - Prob. 1CA Ch. 18 - Prob. 2CA Ch. 18 - Prob. 3CA Ch. 18 - Prob. 4CA Ch. 18 - Prob. 5CA Ch. 18 - Prob. 6CA Ch. 18 - Prob. 7CA Ch. 18 - Prob. 8CA Ch. 18 - Prob. 9CA Ch. 18 - Prob. 10CA Ch. 18 - Prob. 1PT Ch. 18 - Prob. 2PT Ch. 18 - Prob. 3PT Ch. 18 - Prob. 4PT Ch. 18 - Prob. 5PT Ch. 18 - Prob. 6PT Ch. 18 - Prob. 7PT Ch. 18 - Prob. 8PT Ch. 18 - Prob. 9PT Ch. 18 - Prob. 10PT Ch. 18 - Prob. 11PT Ch. 18 - Prob. 12PT Ch. 18 - Prob. 13PT Ch. 18 - Prob. 14PT Ch. 18 - Prob. 15PT Ch. 18 - Prob. 16PT Ch. 18 - Prob. 17PT Ch. 18 - Prob. 18PT Ch. 18 - Prob. 19PT Ch. 18 - Prob. 20PT Ch. 18 - Prob. 1CPT Ch. 18 - Prob. 2CPT Ch. 18 - Prob. 3CPT Ch. 18 - Prob. 4CPT Ch. 18 - Prob. 5CPT Ch. 18 - Prob. 6CPT Ch. 18 - Prob. 7CPT Ch. 18 - Prob. 8CPT Ch. 18 - Prob. 9CPT Ch. 18 - Prob. 10CPT Ch. 18 - Prob. 11CPT Ch. 18 - Prob. 12CPT Ch. 18 - Prob. 13CPT Ch. 18 - Prob. 14CPT Ch. 18 - Prob. 15CPT Ch. 18 - Prob. 16CPT Ch. 18 - Prob. 17CPT Ch. 18 - Prob. 18CPT Ch. 18 - Prob. 19CPT Ch. 18 - Prob. 20CPT Ch. 18 - Prob. 21CPT Ch. 18 - Prob. 22CPT Ch. 18 - Prob. 23CPT Ch. 18 - Prob. 24CPT Ch. 18 - Prob. 25CPT Ch. 18 - Prob. 26CPT Ch. 18 - Prob. 27CPT Ch. 18 - Prob. 28CPT Ch. 18 - Prob. 29CPT Ch. 18 - Prob. 30CPT Ch. 18 - Prob. 31CPT Ch. 18 - Prob. 32CPT Ch. 18 - Prob. 33CPT Ch. 18 - Prob. 34CPT Ch. 18 - Prob. 35CPT Ch. 18 - Prob. 36CPT Ch. 18 - Prob. 37CPT Ch. 18 - Prob. 38CPT

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