A reflection across the x-axis has the rule:
(x,y)→(x,-y).
Then:
- A(-1,-1)→A'(-1,1),
- B(0,1)→B'(0,-1),
- C(4,2)→C'(4,-2),
- D(6,0)→D'(6,0),
- E(3,-3)→E'(3,3).
Answer: the vertices of the image are A'(-1,1), B'(0,-1), C'(4,-2), D'(6,0) and E'(3,3).
 
        
             
        
        
        
Answer:
0.942
Step-by-step explanation:
Multiply the normal way as if there were no decimals, then move the decimal 3 times to the left. 
 
        
                    
             
        
        
        
Answer:
C and D
Step-by-step explanation:
Mathematically, a unit circle is one in which the value of the radius is 1 unit 
Generally, for a unit circle we have it that;
r^2 = x^2 + y^2
where (x,y) represents the coordinates of a point on the unit circle 
But from above, r = 1
Thus:
x^2 + y^2 = 1 
Looking at option C, by squaring each coordinate, we have 
(6/7)^2 = 36/49 and the second as 13/49
by adding both, we have 
36/49 + 13/49 = 49/49 = 1
Thus, we have this as a coordinate on the unit circle
For the last option;
(5/13)^2 = 25/169 and (12/13)^2 = 144/169
Adding both, we have;
25/169 + 144/169 = 169/169 = 1 
So this is also a point on the unit circle 
 
        
             
        
        
        
Answer:
3
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
6 7/8 miles per hour
Step-by-step explanation:
2 3/4 ÷ 2/5
change mixed number into improper fraction; 2 3/4 = 11/4
when dividing fractions, multiply by the reciprocal of the second fraction
11/4 ÷ 2/5  =  11/4 · 5/2  =  55/8 or 6 7/8 mph