Answer:
√65 ft = 8.1 ft
Step-by-step explanation:
We solve using Pythagoras Theorem
c² = a² + b²
c = √a² + b²
Where c = Length of the Hypotenuse
a = 4ft , b = 7ft
Hence
c = √4² + 7²
c = √16 + 49
c = √(65)
c = 8.0622577483 ft
Approximately = 8.1 ft
Therefore, the length of the hypotenuse is √65 ft = 8.1 ft
 
        
             
        
        
        
Answer: A
Step-by-step explanation:
it all refelects over the x=6
 
        
                    
             
        
        
        
The ordered pair for Y is (-4,-2)
Step-by-step explanation:
Given
X(-2,3)
Z(-6,-7)
As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.
Let (x_Y, y_Y) be the coordinates of the mid-point
Then

Putting the values

Hence,
The ordered pair for Y is (-4,-2)
Keywords: Coordinate geometry, Mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
 
        
             
        
        
        
Answer:
 A. a reflection over the x-axis and then a reflection over the y-axis  
and
B. a reflection over the y-axis and then a reflection over the x-axis
Step-by-step explanation:
 
        
                    
             
        
        
        
The function is decreasing from -6 to -3, that is, on the interval (-6,-3), and again on the interval (1, infinity).  
The function is increasing on (-3,1).
No local or absolute minimum.
(1,4) is an absolute max.