Albert Einstein, (born March 14, 1879, Ulm, Württemberg, Germany—died April 18, 1955, Princeton, New Jersey, U.S.), German-born physicist who developed the special and general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect.
 
        
                    
             
        
        
        
Well, the interseciton of 2 planes would be a line, so it would be like line AB when it goes through the 2 points A and B
        
                    
             
        
        
        
Answer: x = 11
Step-by-step explanation:
same as the last question, set them as equal and solve. here's my work:
<em>5x - 1 = 4x + 10</em>
<em>5x - 1 (+ 1) = 4x + 10 (+ 1)</em>
<em>5x = 4x + 11</em>
<em>5x (- 4x) = 4x (- 4x) + 11</em>
x = 11
 
        
             
        
        
        
Answer:
Mean: 33.3
SD: 32.8
Step-by-step explanation:
 
        
             
        
        
        
The distance between a point 

 on the given plane and the point (0, 2, 4) is

but since 

 and 

 share critical points, we can instead consider the problem of optimizing 

 subject to 

.
The Lagrangian is

with partial derivatives (set equal to 0)




Solve for 

:


which gives the critical point

We can confirm that this is a minimum by checking the Hessian matrix of 

:


 is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
