Answer:
0.25k + 1.5 - k - 3.5 = -0.75k - 2.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Area of the regular dodecagon inscribed in a circle will be 27 square units. 
Step-by-step explanation:
A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.
Since angle formed at the center by a polygon = 
Therefore, angle at the center of a dodecagon =  = 30°
 = 30°
Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units
Now area of a small triangle = 
where a and b are the sides of the triangle and θ is the angle between them.
Now area of the small triangle = 
= 
Area of dodecagon = 12×area of the small triangle 
= 12×
= 27 unit²
Therefore, area of the regular octagon is 27 square unit.
 
        
             
        
        
        
<h3>
Answer:  x = (
y-2)^2 + 
5</h3>
In other words, y-2 goes in the first box and 5 goes in the second box.
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Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9  = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5  .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
 
        
        
        
1+200000-1+200000
200001-1+200000
200000+200000
400000