Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
- we add 1 each time
- we subtract 3 each time

Let's try the next one:
- we add 1 each time
- we add 5 each time

Let's try the third one:
- x values: -1, 0, 1, 2
- - we add 1 each time
- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
- we add 1 each time
- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)
Step-by-step explanation:
5x^10 − 80x^2
The greatest common factor is 5x^2
5x^2 ( x^8 - 16)
Rewriting the parentheses
5x^2 ( x^4 ^2 - 4^2)
We notice the difference of squares (a^2 -b^2) = (a-b)(a+b)
5x^2 ( x^4 -4)(x^4+4)
Again rewriting the first parentheses
5x^2 ( x^2 ^2 -2^2)(x^4+4)
5x^2 ( x^2 -2)(x^2 +2)(x^4+4)
The last term can be rewritten as(x^2+2x+2)(x^2-2x+2)
5x^2 ( x^2 -2)(x^2 +2)(x^2+2x+2)(x^2-2x+2)
I will do Point A carefully, The others I will indicate. Start with the Given Point A. Then do the translations
A(-1,2) Original Point
Reflection: about x axis:x stays the same; y becomes -y:Result(-1,-2)
T<-3,4>: x goes three left, y goes 4 up (-1 - 3, -2 + 4): Result(-4,2)
R90 CCW: Point (x,y) becomes (-y , x ) So (-4,2) becomes(-2, - 4): Result (-2, - 4)
B(4,2) Original Point
- Reflection: (4, - 2)
- T< (-3,4): (4-3,-2 + 4): (1 , 2)
- R90 CCW: (-y,x) = (-2 , 1)
C(4, -5) Original Point
- Reflection (4,5)
- T<-3,4): (4 - 3, 5 + 4): (1,9)
- R90, CCW (-9 , 1)
D(-1 , -5) Original Point
- Reflection (-1,5)
- T(<-3,4): (-1 - 3, 5 + 4): (-4,9)
- R90, CCW ( - 9, - 4)
Note: CCW means Counter Clockwise
The graph on the left is the same one you have been given.
The graph on the right is the same figure after all the transformations
The Original length of each side of square was 14.25 inches.
Step-by-step explanation:
Perimeter of a square is given by:
Perimeter = 4 * side
Let x be the original length of each side of square
So
decreasing 2 inch will mean

Perimeter of square after reducing 2 inches from each side

So,
The Original length of each side of square was 14.25 inches.
Keywords: Perimeter, square
Learn more about perimeter at:
#LearnwithBrainly