Answer:
the height=12; the length=10; the width=4.
Step-by-step explanation:
1) the formula of the described volume is length*width*height=480 (in.³).
2) according to the condition the height=8+width; the length=6+width.
3) if to substitute all the values into the formula, ⇒ (6+width)*(8+width)*width=480.
(width)³+14(width)²+48width-480=0.
4) if to resolve the equation, the width=4.
The length=6+4=10; the height=8+4=12 (in.).
Using it's concepts, the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
<h3>What are the domain and the range of a function?</h3>
- The domain of a function is the set that contains all the values of the input. In a graph, it is given by the values of x, which is the horizontal axis of the graph.
- The range of a function is the set that contains all the values of the output. In a graph, it is given by the values of y, which is the vertical axis of the graph.
In this graph, have that the function is defined for all values of x except x = -1, and assumes all real values, hence the domain and the range of the graph are given as follows:
- Domain: all real values except x = -1.
More can be learned about the domain and the range of a function at brainly.com/question/10891721
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Answer:
Perpendicular slope is 
or 
.
Step-by-step explanation:
Given:
Let the perpendicular slope be x.
The given slope is 
For perpendicular slopes, the product of the slopes is equal to -1.
Therefore, 
Therefore, the perpendicular slope is or .
