Answer:
x=2
Step-by-step explanation:
28−(3x+4)=2(x+6)+x
We need to use the distributive property for the right side.
28−3x−4=(2)(x)+(2)(6)+x)
28−3x−4=2x+2+x
−3x+24=3x+12
From here we need to subtract 3x from both side.
−3x+24−3x=3x+12−3x
6x+24=12
Transfer +24 on the right side. 
6x=12−24
6x=−12
Finally, divide both sides by −6
6x/-6 = -12/-6
x=2
 
        
             
        
        
        
Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1.  Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0.  This is a quadratic equation.  Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13.  Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."  
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
 
        
             
        
        
        
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC =  = 10
 = 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
 
        
             
        
        
        
7.5 Devide 30 by 4 and it is 7.5 that is how much she saved
        
                    
             
        
        
        
Answer:
638
Step-by-step explanation:
1. Isolate the variable 881 = k - (-243)
                                   -243         -243
2. combine like terms 881 - 243 = k
3. answer 638