<span>First rewrite y - 2x<span> 2</span> = 8 x + 5 as</span>
y = 2x<span> 2</span><span> + 8 x + 5 </span>
Complete square and determine vertex.
y = 2(x<span> 2</span><span> + 4x + 4) - 8 + 5 </span>
= 2(x + 2)<span> 2</span><span> - 3 </span>
<span>vertex at (- 2 , - 3) </span>
If parabola is translated 3 units to the left and 2 units up its vertex is also translated 3 units to the right and 2 units up .
<span>vertex after translations is at: (-2 - 3 , - 3 + 2) = (-5 , -1)</span>
Answer:
i believe its 27
Step-by-step explanation:25 times two= 50 27 times two= 54 +one more is 55. so it is 27
Answer:106.38 feet
Step-by-step explanation:
This can be solved by using pythagoras theorem
c=110 feet
b=28 feet
a=?
a=sqrt(110^2-28^2)
=sqrt(12100-784)
=sqrt(11316)
=106.3766 feet
=106.38
<u>Given</u>:
The given inequality is 
We need to determine the solution of the inequality in interval notation.
<u>Solution of the inequality:</u>
The solution of the inequality can be determined by simplifying the inequality.
Thus, we have,


Subtracting both sides by 3, we get;

Subtracting both sides by 2u, we have;

Dividing both sides by 4, we get;

Writing it in interval notation, we get;

Thus, the solution of the inequality is 
All squares are equal sides.Let X be the side of a square.
Area of square,A = x^2
Here a tile is a square of side length 'x'. The following polynomial represents,
(x - 4) represents "the width of the new tile" (because 4 inches cut from the tile)
4x represents "the area removed from the tile" (since one side of removed tile is 'x' and other is 4 inches.)
x2 represents "area of original tile" of side equal to 'x'
x represents "the length of the new tile" (since length of new tile is not reduced. Length =x and breadth is x-4