Answer:

Step-by-step explanation:
The standard form of a quadratic is:

To complete the square, the a (leading coefficient) must be 1 and there can only be terms with variables on one side.
The expression given:

follows these rules. Next, we divide the b (linear coefficient) by 2, then square it. Basically:

The b in the expression is -18.


This is the number that is added.
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
Answer:

Step-by-step explanation:
1.

2.

3.

4.

+
= 
Explanation:
1/2 + 1/4 = ?
( 1/2 x 2/2 ) + ( 1/4 x 1/2 ) =
2/4 + 1/4 =
2 + 1 / 4 = 3/4
so, 1/2 + 1/4 = 3/4
2x+5=11
2 times x and 5 is 11.