Answer:
c(x)=(x+3)^2+5
Step-by-step explanation:
To complete the square, the same value needs to be added to both sides.
So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression
C(x) =x^2 +6x + 9 + 14
Since 9 was added to the right-hand side also add 9 to the left-hand side
C(x) +9= x^2 +6x + 9 + 14
Using a^2 + 2ab + b^2=(a+b)^2, factor the expression
C(x)+9= (x+3)^2 +14
Move constant to the right-hand side and change its sign
C(x)=(x+3)^2 +14 - 9
Subtract the numbers
C(x)= (x+3)^2 +5
The answer you are looking for is C my friend
(1) You can see that the 6 is being added to both sides.
You are trying to make both sides equal by adding 6, so it would be the Addition Property of Equality.
(2) 4 is being divided into both sides.
It would be the Division Property of Inequality. (you are dividing by 4 to make both sides equal)
"B" is the answer.
I hope this helps!
~kaikers
Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: 
we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
We have:
Putting values and finding c
So, If the lines BC and DE are parallel, the value of c is c=-2
100+ 100+ 100+ 9= 309
200+ 50 +50= 300
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