Answer:
dy/dx = -b/a cot α
Step-by-step explanation:
x² / a² + y² / b² = 1
Take derivative with respect to x.
2x / a² + 2y / b² dy/dx = 0
2y / b² dy/dx = -2x / a²
dy/dx = -b²x / (a²y)
Substitute:
dy/dx = -b²a cos α / (a²b sin α)
dy/dx = -b cos α / (a sin α)
dy/dx = -b/a cot α
 
        
             
        
        
        
Answer:
x= 1
Step-by-step explanation:
Solve
Let's solve your equation step-by-step.
4x−2=2x
Step 1: Subtract 2x from both sides.
4x−2−2x=2x−2x
2x−2=0
Step 2: Add 2 to both sides.
2x−2+2=0+2
2x=2
Step 3: Divide both sides by 2.
2x
2
=
2
2
x=1
 
        
             
        
        
        
Answer:
y = -1/3
Step-by-step explanation:
 
        
             
        
        
        
X + y = 27
x = y + 3
y + 3 + y = 27
2y + 3 = 27
2y = 27 - 3
2y = 24
y = 24/2
y = 12
x = y + 3
x = 12 + 3
x = 15
ur numbers are 12 and 15