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: The Focus and the truck starts from the same point. The Focus heads east at an average speed of 30 miles per hour and the truck heads south at an average speed of 40 miles per hour. In order to find the expression for their distance apart d (in miles) at the end of t hours, draw the figure for the given information as follows. From Figure 1, it is observed that the triangle is a right triangle. By Pythagorean Theorem, in a right angled triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides

College Algebra: Concepts Through Functions (3rd Edition)

3rd Edition

ISBN: 9780321925749

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter F.1, Problem 61AYU

To determine

An expression for the distance d (in miles) between the Focus and the Truck at the end of t hours.

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Chapter F.1, Problem 60AYU

Chapter F.1, Problem 62AYU

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Chapter F Solutions

College Algebra: Concepts Through Functions (3rd 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 - Prob. 5AYU Ch. F.1 - Prob. 6AYU Ch. F.1 - Prob. 7AYU Ch. F.1 - The coordinate axes divide the xy-plane into four...Ch. F.1 - Prob. 9AYU Ch. F.1 - If three distinct points P, Q, and R all lie on a...

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