Textbook Question
Find each product or quotient where possible. See Example 2. (-4⁄5) / (-3⁄5)
539
views
0. Review of College Algebra
Solving Linear Equations
1:20 minutesProblem R.2.65
Textbook Question
Find the given distances between points P, Q, R, and S on a number line, with coordinates -4, -1, 8, and 12, respectively. See Example 3. d (P, Q)
Verified step by step guidance1
Identify the coordinates of points P and Q on the number line. Here, P = -4 and Q = -1.
Recall that the distance between two points on a number line is the absolute value of the difference of their coordinates. The formula is: \(d(P, Q) = |x_Q - x_P|\).
Substitute the coordinates of P and Q into the formula: \(d(P, Q) = |-1 - (-4)|\).
Simplify the expression inside the absolute value: \(-1 - (-4) = -1 + 4\).
Calculate the absolute value to find the distance: \(d(P, Q) = |3|\).
Verified video answer for a similar problem:This video solution was recommended by our tutors as helpful for the problem above
Video duration:
1mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Distance on a Number Line
The distance between two points on a number line is the absolute value of the difference between their coordinates. This ensures the distance is always a non-negative value, representing the length between points regardless of direction.
Recommended video:
3:31
Introduction to Complex Numbers
Absolute Value
Absolute value measures the magnitude of a real number without regard to its sign. It is used to find the distance between points by converting any negative difference into a positive number, which is essential for calculating distances on a number line.
Recommended video:
7:28Evaluate Composite Functions - Values Not on Unit Circle
Coordinate Representation of Points
Points on a number line are represented by their coordinates, which are real numbers indicating their position relative to zero. Understanding how to interpret these coordinates is crucial for calculating distances and solving related problems.
Recommended video:
6:02Determining Different Coordinates for the Same Point
Related Videos
Related Practice