To determine Whether the statement “The distance between two points is sometimes a negative number” is true or false. Explanation Formula used: Distance Formula: The distance between two points P 1 = ( x 1 , y 1 ) and P 2 = ( x 2 , y 2 ) , denoted by d ( P 1 , P 2 ) , is d ( P 1 , P 2 ) = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 . Calculation: It is known that the measurements like distance, area, and perimeter is always positive. That is, distance between two points is always positive. For example: Consider the points P 1 = ( − 1 , 0 ) and P 2 = ( 2 , 4 ) . Here, x 1 = − 1 , y 1 = 0 and x 2 = 2 , y 2 = 4 . Compute the distance d ( P 1 , P 2 ) between the points P 1 = ( − 1 , 0 ) and P 2 = ( 2 , 4 ) as follows

College Algebra: Concepts Through Functions (4th Edition)

4th Edition

ISBN: 9780134686967

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter F.1, Problem 10AYU

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Whether the statement “The distance between two points is sometimes a negative number” is true or false.

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Chapter F.1, Problem 9AYU

Chapter F.1, Problem 11AYU

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College Algebra: Concepts Through Functions (4th Edition)

Ch. F.1 - Prob. 1AYU Ch. F.1 - If −3 and 5 are the coordinates of two points on...Ch. F.1 - If 3 and 4 are the legs of a right triangle, the...Ch. F.1 - Use the converse of the Pythagorean Theorem to...Ch. F.1 - The area A of a triangle whose base is b and whose...Ch. F.1 - True or False Two triangles are congruent if two...Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - If three distinct points P, Q, and R all lie on a...Ch. F.1 - True or False The distance between two points is...

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