(a)
To Write and Solve: The inequality to find the values of
The values of
Given information:
Given, the model is
Football goal height
Calculation:
Given that, football goal height is
Substitute
Replace the inequality sign with
sign:
Subtract
from both the sides:
Use, the quadratic form
to solve the equation:
where
Simplify the above expression:
The critical
There are three intervals on the number line based on the critical
It can be seen that the inequality is satisfied in the interval
So, the solution is
enough to go into goal are
(b)
To Find: Whether the player score the goal if no one was blocking or not.
Yes, the player scores the goal and ball will go
Given information:
Given, the model is
Football goal height
The distance from the ball was kicked towards the goal
Calculation:
From part
In this scenario, a soccer player kicks the ball
When the horizontal distance is less than
Hence, kicking the ball from
To find the height corresponding to a horizontal distance of 15 feet, substitute
The distance the ball will cross the goal can be calculated by subtracting the height of the soccer goal from
As a result, the ball will go
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education