Answer:
x-intercept(s):  
(−8,0)
y-intercept(s):  
(0,6)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
5
Step-by-step explanation:
To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² =  √(6-x)² + (2)²
√x² -4x +4 + 100 =  √x²-12x+36 + 4
√x² -4x + 104 =  √x²-12x+40
square both sides,
x² -4x + 104 =  x²-12x+40
x² -4x - x²+ 12x = 40 - 104 
              8x = -64
                x = -64/8
                x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2)  = M(4,6)
      (-8+a/2, b/2)  = M(4,6)
Comparing;  
-8+a/2 = 4          ; b/2 = 6
   -8+a = 4*2       ; b = 6*2
   -8+a = 8          ; b = 12
         a = 8 +8
        a = 16
Hence, C(16,12)
 
        
             
        
        
        
Given:
Choose a number between 0 and 20.
If the difference is less than 10 then Eric wins.
Let us x is Eric's number.  0 <u><</u> x <u><</u> 20
If Eric wins. |x -7| < 10
|x-7| < 10 → -10 < x-7 < 10 → -10 + 7 < x - 7 + 7 < 10 + 7 → -3 < x < 17
Taking into account that the number must be given between 0 and 20.
0 <u><</u> x <u><</u> 20
-3 < x < 17
→ 0 < x < 16