We have that
x²<span>-6x+7=0
</span>Group terms that contain the same variable
(x²-6x)+7=0
Complete the square  Remember to balance the equation
(x²-6x+9-9)+7=0
Rewrite as perfect squares
(x-3)²+7-9=0
(x-3)²-2=0
(x-3)²=2
(x-3)=(+/-)√2
x=(+/-)√2+3
the solutions are
x=√2+3
x=-√2+3
        
             
        
        
        
Answer:
A
Step-by-step explanation:
You find the mean by adding all the values then dividing that sum by the amount of values
You find the median by putting the numbers in order from least to greatest and then find the middle number.
 
        
                    
             
        
        
        
Answer: d (A,B) = 9
Step-by-step explanation: d(A,B) = √(xB - xA)^2 + (yB - yA)^2
                                               d(A,B) = √(8-(-1))^2 + (-3 - (-3))^2
                                               d(A,B) = √81 + 0     
                                               d(A,B) = 9                                         
 
        
             
        
        
        
The general line through (a,b) and (c,d) is
(c-a)(y-b)=(d-b)(x-a)
Here that's
(1 - - 5)(y - - 5) = (4 - -5)(x - - 5)
6(y+5)=9(x+5)
6y + 30 = 9x + 45
-15 = 9x - 6y
3x - 2y = -5
Answer: 3x - 2y = -5
We could put that in slope intercept form,
2y = 3x + 5
y = (3/2) x + 5/2
Answer: y = (3/2) x + 5/2
 
        
             
        
        
        
Tanα=5/12
α=arctan(5/12)°
α≈22.62° (to nearest hundredth of a degree)