Answer: -8.92
Step-by-step explanation:
 
        
             
        
        
        
Answer: 24.2° SouthWest
<u>Step-by-step explanation:</u>
First step: DRAW A PICTURE of the vectors from head to tail <em>(see image)</em>
I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.
<u>Perpendicular (x):</u>
  cos 35° = adjacent/hypotenuse
   cos 35° = x/160
→ x = 160 cos 35°
<u>Angle (θ):</u>
sin θ = opposite/hypotenuse
sin θ = x/320
sin θ = 160 cos 35°/320
     θ = arcsin (160 cos 35°/320)
     θ = 24.2°
Direction is down (south) and left (west)
 
        
             
        
        
        
Answer:
y=6
Step-by-step explanation:



 
        
             
        
        
        
Answer:
Initial Value=15
Rate of change=15/10=1.5
Equation: y=1.5x+15
Step-by-step explanation:
y=ax+b
y=1.5x+b
15=1.5(0)+b
b=15
 
        
             
        
        
        
$42. 
13/2 = 6.5, 25/4 = 6.25, 42/7 = 6.