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:
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Answer:
Step-by-step explanation:
30).  degree ( 4 + 1 = <em>5</em> ; 1 + 1 = 2 and 2 + 2 = 4 )
 degree ( 4 + 1 = <em>5</em> ; 1 + 1 = 2 and 2 + 2 = 4 ) 
31) D) Choice D 
 
        
             
        
        
        
Answer:
c = 64
Step-by-step explanation:
(a-b)² = a² - 2ab + b²
h²- 16h + c
So, 2ab = 16h
2 * h * b = 16h    {as a =h}
b= 16h / 2h
b = 8
c = b² = 8*8 = 64
 
        
             
        
        
        
Using the SSA formula:
X = SQRT ( 40^2 + 26^2 - 2*40*26*cos(65))
X = SQRT(2276 - 2080*cos(65))
X = SQRT(1396.954)
X = 37.37 = 37.4 ft.
        
                    
             
        
        
        
Answer:
10m - 16
Step-by-step explanation:
1.  Perform the indicated multiplication.  We get 12m - 6 - 2m - 10.
2.  Combine like terms:  We get 10m - 16