Given:
The point  divides the line segment joining points
 divides the line segment joining points  and
 and  .
.
To find:
The ratio in which he point P divides the segment AB.
Solution:
Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

Let point P divides the segment AB in m:n. Then by using the section formula, we get


On comparing both sides, we get


Multiply both sides by 4.




It can be written as


Therefore, the point P divides the line segment AB in 1:5.
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Given that: 
 R(x) =  + 34x − 17
 + 34x − 17
As we know that derivative of revenue function is marginal revenue function .
We will use following rules of derivative
=> dR/ dx =  
 
=> R' (x) =    
 
=> R '(2000) =   = 34
 = 34 
The revenue when 2000 units are sold is: 
 R(2000) =  + 34*2000 − 17 = $69,783
 + 34*2000 − 17 = $69,783
 
        
             
        
        
        
Maybe d. but u should probably wait for another answer
        
             
        
        
        
Answer:
m∠A ≈ 43°
m∠B ≈ 55°
mBC ≈ 20
Step-by-step explanation:
Law of Sines: 
Step 1: Find m∠B

Step 2: Solve for ∠B
29sinB = 24sin82°
sinB = 24sin82°/29
B = sin⁻¹(24sin82°/29)
B = 55.038°
Step 3: Find m∠A
180 - (55.038 + 82)
180 - 137.038
m∠A = 42.962°
Step 4: Find BC

Step 5: Solve for BC
29sin42.962° = BCsin82°
BC = 29sin42.962°/sin82°
BC = 19.9581