Answer:
Here's what I get.
Step-by-step explanation:
9. (6, -8)
The reference angle θ is in the fourth quadrant.
∆AOB is a right triangle.
OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100
OB = √100 = 10  

10. cot θ = -(√3)/2
The reference angle θ is in the second quadrant.
∆AOB is a right triangle.
OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7
OB = √7

 
        
             
        
        
        
I believe it's Line y=-x+2 and y=3x+1 intersect the y-axis. From what I've gathered, they are parallel lines, and both are set on the y-axis.
        
                    
             
        
        
        
Answer:
- co-terminal
- reference
- 90°, 105°
- 2π, 7π/4
Step-by-step explanation:
For an explanation of vocabulary questions, consult a dictionary or vocabulary list
1) angles ending in the same place are "co-terminal."
__
2) The acute angle between the terminal ray and the x-axis is the "reference angle."
__
3) Multiply radians by 180°/π to convert to degrees.
   a) π/2 × 180°/π = 180°/2 = 90°
   b) 7π/12 × 180°/π = (7/12)(180°) = 105°
__
4) To convert from degrees to radians, multiply by π/180°.
   a) 360° × π/180° = 2π radians
   b) 315° × π/180° = 7π/4 radians
 
        
             
        
        
        
Answer:
(a) 
(b) Domain:  <em>(See attachment for graph)</em>
 <em>(See attachment for graph)</em>
(c) 
Step-by-step explanation:
Given



Solving (a): A function; l in terms of w
All we need to do is make l the subject in 
Divide through by 2

Subtract w from both sides


Reorder

Solving (b): The graph
In (a), we have:

Since l and w are the dimensions of the fence, they can't be less than 1
So, the domain of the function can be 
--------------------------------------------------------------------------------------------------
To check this
When 



When 


 
 
--------------------------------------------------------------------------------------------------
<em>See attachment for graph</em>
<em></em>
Solving (c): Write l as a function 
In (a), we have:

Writing l as a function, we have:

Substitute  for l in
 for l in 
 becomes
 becomes

 
        
             
        
        
        
Answer:
40
Step-by-step explanation:
30/75 = .4