Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2  to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
 
        
             
        
        
        
Answer:
6
Step-by-step explanation:
12/2=6 
 
        
             
        
        
        
Answer:
point - slope form
  y - 1 = 3 (x-0)
Step-by-step explanation:
<u><em>step(i):-</em></u>
Given points are (0,1) and (2,7)
The slope of the line 
      
     
   m =3 
<u><em>Step(ii):-</em></u>
point -slope form
    y - y₁ = m(x-x₁)
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3
    y - 1 = 3 (x-0)
   y -1 = 3x
  3x - y +1=0
Equation of the straight line passing through the point (0,1) and having slope 'm' = 3 is 3x -y +1=0
 
        
             
        
        
        
Answer:
0.5 miles per hour
Step-by-step explanation:
it going up by  0.5
 
        
             
        
        
        
<span>WKLX
W(2, −3),  
K(4, −3), 
L(5, −2) , 
X(1, −2) 
TRANSLATED 4 UNITS RIGHT and 3 UNITS DOWN to produce W'K'L'X
4 units right means the x coordinate is affected. Since the moving to the right, we add 4 to the x values of each vertice.
W = 2 + 4 = 6
K = 4 + 4 = 8
L = 5 + 4 = 9
X = 1 + 4 = 5
3 units down means the y axis is affected. We add 3 to the value of y but keep the negative sign.
W = -3 + -3 = -6
K = -3 + -3 = -6
L = -2 + -3 = -5
X = -2 + -3 = -5
The correct answer is: </span><span>W′(6, −6), K′(8, −6), L′(9, −5) , and X′(5, −5)</span>