I worked this out, and the answer is B.) 14x+6
Hope it helped! :3
It is true that the product of two consecutive even integers are always one less than the square of their average.
<u>Step-by-step explanation</u>:
Let the two consecutive odd integers be 1 and 3.
- The product of 1 and 3 is (1
3)=3 - The average of 1 and 3 is (1+3)/2 =4/2 = 2
- The square of their average is (2)² = 4
∴ The product 3 is one less than the square of their average 4.
Let the two consecutive even integers be 2 and 4.
- The product of 2 and 4 is (2
4)=8 - The average of 2 and 4 is (2+4)/2 =6/2 = 3
- The square of their average is (3)² = 9
∴ The product 8 is one less than the square of their average 9.
Thus, It is true that the product of two consecutive even integers are always one less than the square of their average.
Line 1 and Line 4 are parallel lines
Solution:
General equation of a line:
y = mx + c
where m is the slope and c is the y-intercept of the line.
<u>To find the slope of each line:</u>
Line 1: 
Slope 
Line 2: 

Add 7 on both sides, we get

Slope 
Line 3: 
Slope 
Line 4: 
Subtract x from both sides, we get

Multiply by
on both sides, we get

Slope 
<em>Two lines are parallel, if their slopes are equal.</em>
From the above slopes,

Therefore Line 1 and Line 4 are parallel lines.
1 is the correct answer my guy