The last one will give the incorrect slope
The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:
So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious: 
is the square of 
, and 
is the square of 
So, we can factor the expression as
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20-%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20)
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%5B%28x%2B2%29-%28y%2B2%29%5D%20%3D%20%28x%2By%2B4%29%28x-y%29%20)
1. Do they match? No
How do you know? When substituted y = 3(2) - 4 is 2
y = 3(4) - 4 is 8
y = 3(8) - 4 is 20 not 14. So the table isn’t fully correct.
2. Do they match? No
How do you know? Because it says she walks UP the stairs not down. So -2 doesn’t make sense.
3. Do they match? Yes
How do you know? 0 means that the pile didn’t start with 6 so when you add 3 to 0, it’s 3. (duh lol)
On day 1, it starts with 6, (1)(6) = 6, and then they added 3 rocks, so it’s 9.
Day 2, twice as many rocks, so it starts with 12 now. + 3 is 15.
Day 3 starts with 18 rocks now. + 3 is 21.
1/3*3.14= 1.046666666 ect.
Answer:
C)The rays extend infinitely, and the angle is made by rays which have a common endpoint
Step-by-step explanation:
A ray is a line segment having one end point while extending in the other/opposite direction
An angle is made by two lines(rays) with common end point (vertex)
So when an angle is formed by the pair of intersecting rays the following options are ruled out
A) rays cannot have two end points
B) As rays extends infinitely in one direction, so having number of points is wrong
D)angles do not have lines
the following is best explanation is C
The rays extend infinitely, and the angle is made by rays which have a common endpoint !
