When reflecting across the Y axis, the Y values remain the same.
 Now if you were reflecting across Y = 0, the x values would just be inverse ( opposite signs).
So this triangle if reflected across Y = 0 the new vertices would be (4,4) (2,3) and (5,2)
Now since the reflection line is y = -1, which is a one unit shift to the left of y = 0, subtract 1 unit from each X value.
 The locations are now: A'(3,4), B'(1,3) and C'(4,2)
 
        
             
        
        
        
Answer:
   D(6, 3)
Step-by-step explanation:
The diagonals of a rectangle bisect each other, so the midpoint of AC is the same as the midpoint of BD. This means ...
   (A +C)/2 = (B +D)/2 . . . . the midpoints are the same
   A +C = B +D . . . . . . . . . multiply by 2
   D = A +C -B = (2+5-2, 1+5-3) . . . . . solve for D, substitute given coordinates
   D = (6, 3)
 
        
             
        
        
        
Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula 

Where A = amount (98,000)
            P = Principal amount (P)
            r = rate of interest 4.1% (0.041)
            n = number of compounding interest monthly (12)
            t = time (35 years)



98,000 = P(4.189386)
= 4.189386P = 98,000
P = 
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
 
        
                    
             
        
        
        
Answer:
YZ = XZ
Step-by-step explanation:
Perpendicular Bisector:
A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.
Given:
1. A triangle WXY. 
2. A perpendicular bisector from vertex W that intersects XY at point Z.
Conclusion based on the drawing:
a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.
b. Hence, XZ = YZ.
 
        
                    
             
        
        
        
256, 340, 740, 749, 749, 999,