Answer:
4
Step-by-step explanation:
 
        
                    
             
        
        
        
Step-by-step explanation:
dy/dx
= d/dx [x / (1 - x²)]
= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²
= (1 + x²) / (1 - x²)².
When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.
=> 1 + x² = 1 - x² 
=> 2x² = 0, x = 0.
Also when x = 0, y = (0) / [1 - (0)²] = 0.
Hence the coodinates is (0, 0).
 
        
             
        
        
        
<u>Answer:</u>
A line passes through the two given points (5,2), (5,-2). The line is vertical line
<u>Solution:</u>
Given, two points are (5, 2) and (5, -2)
We have to find that a line that passes through the given two points is vertical or horizontal or neither.
First let us find the slope of the line that passes through given two points.
So, slope of line m 
So slope of our line  = undefined
 = undefined
Here slope of our line is undefined which means it is parallel to the y – axis.
Hence, line passing through given points is vertical line
 
        
             
        
        
        
Answer:
The lengths of the sides can be 10, 30 and 31. This would be a scalene triangle. 
Step-by-step explanation: 
In order to determine if it can create a triangle, we simple need to make sure that the value of one side is not greater than the other two added together. In this case, 10+30 > 31, which means it can be a triangle. 
A triangle with no matching sides is called a scalene triangle. Therefore, we know it is a scalene triangle.