Concept explainers
(a)
The definition of horizontal axis and vertical axis in the coordinate plane.
Answer to Problem 1CC
The horizontal axis is called
Explanation of Solution
In the Cartesian plane or coordinate plane two perpendicular lines intersect each other at origin.
A line that is horizontal with positive direction on right side and negative direction on left side is called as x-axis.
A line that is vertical with positive direction upward and negative direction downward is called as y-axis.
Thus, the horizontal axis is called
(b)
To find:
The
Answer to Problem 1CC
The x -coordinate is
Explanation of Solution
Given information:
In the coordinate plane the point is
Calculation:
Consider any point
The first number
Now, given coordinate point is
Therefore, x -coordinate of the point
(c)
To explain:
The method to determine whether a given point is on the graph and check that the point
Answer to Problem 1CC
Explanation of Solution
Given information:
The point is
Calculation:
Consider any point
Again consider equation as,
If the point
Now, the given equation is
Substitute
Therefore, the point
Thus, the point
Want to see more full solutions like this?
Chapter 1 Solutions
EBK COLLEGE ALGEBRA
- Sound Location Listening station A and listening station B are located at 3300,0 and 3300,0, respectively. Station A detects an explosion 4 seconds before station B. (Assume the coordinate system is measured in feet and sound travels at 1100 feet per second.) (a) Where did the explosion occur? (b) Station C is located at 3300,1100 and detects the explosion 1 second after station A. Find the coordinates of the explosion.arrow_forwardSoftball and Rectangular Coordinates If a coordinate system is superimposed on the softball diamond in Problem 42 with the x-axis along the line from home plate to first base and the y-axis on the line from home plate to third base, what would be the coordinates of home plate, first base, second base, and third base?arrow_forwardA semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. (a) Sketch the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Label the coordinates of the known points. (b) Find an equation of the semielliptical arch over the tunnel. (c) You are driving a moving truck that has a width of 8 feet and a height of 9 feet. Will the moving truck clear the opening of the arch?arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Intermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning