Answer:
tanV=  adjacent
/opposite  =  

	
Step-by-step explanation:
 
        
             
        
        
        
Answer:
(0,-6)
Step-by-step explanation:
recall that the y-intercept is simply the point where the line crosses the y-axis at x = 0.
to find the y intercept, we simply substitute x=0 into the equation and solve for y
12x - 10y = 60, when x = 0,
12(0) - 10y = 60
-10y = 60
y = 60 / (-10)
y = -6
hence the coordinate of the y - intercept is (0,-6)
 
        
             
        
        
        
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1
Now, integrate from x = -2 to x = 1
 <em>the bottom of the integral is -2 </em>
    <em>the bottom of the integral is -2 </em>
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= -3 + 1.5 + 6
= 4.5