Answer: Responding for points
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
13: 10
21: 20
29: 30
Step-by-step explanation:
 
        
             
        
        
        
Answer:
height = 20.5068 m    
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5  { since the wheel starts at 6 o clock }
midline  C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
 B = 2π/8 = π/4 
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5  
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5     
height = -17.5cos( 4.71238898) + 20.5     
height = -17.5 × cos( 4.712) + 20.5   
height = -17.5 × -0.00038898 + 20.5                   
height = 0.0068 + 20.5   
height = 20.5068 m    
 
        
             
        
        
        
Answer:
-8/17
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-75-(-51))/(31-(-20))
m=(-75+51)/(31+20)
m=-24/51
m=-8/17
 
        
             
        
        
        
The given plane,  , has normal vector
, has normal vector  . Any plane parallel to this one has the same normal vector.
. Any plane parallel to this one has the same normal vector.
Let  be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is
 be any point in the plane we want. The plane contains the point (1, 1, -1), so an arbitrary vector in this plane is

and this is perpendicular to  .
.
So the equation of the plane is

or equivalently,
