Answer:
c = 196
Step-by-step explanation:
To obtain a perfect square trinomial
Add ( half the coefficient of the x- term )² to x² + 28x
x² + 2(14)x + (14)², that is
x² + 28x + 196
= (x + 14)² ← a perfect square
Answer:

Step-by-step explanation:
Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to
and
(doesn't matter which you assign) and use the slope formula:

Let:

The slope is equal to:

Therefore, the slope of this line is -1. In slope-intercept form
,
represents slope, so one of the lines must have a term with
in it, which eliminates answer choices A and D.
For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

Using the slope formula:

Thus, the slope of the line is 1/3 and the other line must have a term with
in it, eliminating answer choice C and leaving the answer 
*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into 
The answer is x= -5 ...explained... -2x + 5 -35x= 190...-37x +5 = 190 ... now subtract 190-5 = 185... divide 185 by - 37 and get -5
3x + 40 + x = 180
-40. -40
——————————-
4x. 140
—. ——-
4. 4
x = 35