<span>8d – 4d – 6d – 8 = 2d
Combine common terms:
-2d - 8 = 2d
Add 2d to both sides:
-8 = 4d
Swtich sides:
4d = -8
Divide both sides by 4:
d = -2
Answer: - 2
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<span>the limit as x approaches -3 of [g(x)-g(-3)]over(x+3) is the same as the derivative, or slope, of g(x) at the point x=-3, or g'(-3).
Since you are given the equation of the tangent line, the answer is just the slope of that line.
</span><span>2y+3=-(2/3)(x-3)
</span><span>6y+9=-2(x-3)
6y+9=-2x+6
6y=-2x-3
y= (-2x-3)/6
slope is -2/6 = </span>
 
 
        
        
        
Answer:
<h3>
          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>
Step-by-step explanation:
H = 2x+6          - the hight
3H = 3(2x+6)      - triple the hight
3H-5 = 3(2x+6) - 5    -  five less than triple the height
Area of triangle:  A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
     A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
     A = 6x² + 49x + 78 
 
        
             
        
        
        
Answer:
see below
Step-by-step explanation:
Vertical angles are formed by two lines and are opposite each other
Vertical angles are equal
 
        
                    
             
        
        
        
<h3>
Answer:   -2w^2 + 25w = 25    or    -2w^2 + 25w - 25 = 0</h3>
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Explanation:
Refer to the diagram below. The width is w. We have two opposite and parallel sides equal to this. The other two parallel congruent sides are L = 25-2w meters long. We start with the total amount of fencing, and then subtract off the two width values, so 25-w-w = 25-2w. 
The area of the rectangle is
Area = length*width
Area = L*W
Area = (25-2w)*w
Area = 25w - 2w^2
Area = -2w^2 + 25w
Set this equal to the desired area (25 square meters) to get 
-2w^2 + 25w = 25
and we can subtract 25 from both sides to get everything on one side
-2w^2 + 25w - 25 = 0
side note: The two approximate solutions of this equation are w = 1.0961 and w = 11.4039 (use the quadratic formula or a graphing calculator to find this)