Answer:
20x + 17 = 77 --> Addition Property of Equality:
You are adding (Addition Property) 4x to both sides of the equal sign (Equality).
20x = 60 --> Subtraction Property of Equality:
You subtracted (Subtraction Property) 17 from both sides of the equal sign (Equality).
x = 3 --> Division Property of Equality:
You divided (Division Property) 20 from both sides of the equal sign (Equality) to completely isolate the variable x.
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Answer:

Step-by-step explanation:
We will use slope-intercept form of equation to write our equation. The equation of a line in slope-intercept form is:
, where m= Slope of the line, b= y-intercept.
To write the equation that represents the number of credits y on the cards after x games, we will find slope of our line.
We have been given that after playing 5 games we have 33 credits left. We play 4 more games and we have 21 credits left. So our points will be (5,33) and (9,21).
Let us substitute coordinates of our both given points in slope formula:
,

Now let us substitute m=-3 and coordinates of point (5,33) in slope intercept form of equation to find y-intercept.
Upon substituting m=-3 and b=48 in slope-intercept form of an equation we will get,

Therefore, our desired equation will be
.
Answer:
Coordinates of Q 
Option D is correct option.
Step-by-step explanation:
We are given:
K is the midpoint of PQ
Coordinates of P = (-9,-4)
Coordinates of K = (-1,6)
We need to find coordinates of Q
We will use the formula of midpoint: 
We are given midpoint K and
the coordinates of P we need to find
the coordinates of Q.

Now, we can write

So, we get coordinates of Q 
Option D is correct option.
Answer:
5026*10^-5
Step-by-step explanation:
You're answer will be C 13x2+12xy+9y2