Answer:
Y=-2x
When x= -6 then y =12
Step-by-step explanation:
If y and x in direct variation then y=c*x for some constant c.
We are told 
-4=c2
——> c= -2
So y= -2x
 When x= -6 this becomes
Y= (-2) * (-6)
——> y = 12
 
        
             
        
        
        
Answer:
? = 57
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj/ hyp
cos ? = 14/26
Taking the inverse cos of each side
cos ^-1 ( cos ?) = cos ^-1 ( 14/26)
? = 57.42102961
To the nearest degree
? = 57
 
        
             
        
        
        
Answer:
 Last option: 4
Step-by-step explanation:
 The quadratic equation simplified: 
 has the form:
 
 In this case, you can identify that "a", "b" and "c" are:
 
 To solve this quadratic equation  by completing the square, Carlos should add 
 to both sides of the equation. This is:
 
 Then:
 
 
 Therefore you can observe that the number he should add to both sides of the equation is: 4
 
 
        
             
        
        
        
To convert a percent to a decimal, divide the percent by 100.
0.8/100 = 0.008 <<<<<< answer.
 
        
                    
             
        
        
        
Answer:
14.1 =x
Step-by-step explanation:
Since this is right triangle, we can use trig functions
sin theta = opp/ hypotenuse
sin 42 = x /21
21 sin 42 = x
14.05174273 =x
Rounding to the nearest tenth
14.1 =x