8z-7=81
8z=88
z=11
Have a good day!
:0)
        
                    
             
        
        
        
A quotient is the result of dividing one number by another. For example, the quotient of 6 and 3 equals 6/3 or 2. In your problem above it is asking you to provide the quotient of 10 and 2 meaning you divide the 2 into the ten and end up with 10/2 or 5.
So I think the answer is 10/2 or 5
 
        
             
        
        
        
Answer: 8x+3x=12x+9 
The number is -9. 
Step-by-step explanation: Combine like terms. 
11x=12x+9
Subtract 12x from the other side. 11x-12x= -1x
-1x+9
Divide by -1 to isolate x.
-1/-1 cancels out. 
9/-1= -9
x=-9
Plug in -9 to check your answer if you want to double check.
 
        
             
        
        
        
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below : 
sin2x=2sinxcosx 
cos2x=cos^2x-sin^2x 
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms . 
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .