Answer:
(y - 4)(y + 4)
Step-by-step explanation:
y² - 16 ← is a difference of squares
Since y² and 16 are both squares separated by a difference , that is minus
A difference of squares factors as
y² - 16
= y² - 4²
= (y - 4)(y + 4)
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
Answer: (a) The rate that the point 8,28 represents is 3.5 cm/s since 28/8 = 3.5
(b) The unit rate is 3.5 cm/s since the rate is constant.
(c) The two points lie on the same line and that both points results to a rate of 3.5 cm/s.
Step-by-step explanation:
Answer:
x=4-
, x=4+
Step-by-step explanation:
(x^2-8x+16)-16-7=0
(x-4)^2=23
x=4-
, x=4+
Answer:
There are five different ways, in which we can arrange the photos.
Step-by-step explanation:
There are five different ways to arrange the photos.
1. 5 photos in each 4 rows.
2. 4 photos in each 5 rows.
3. 2 photos in each 10 rows.
4. 10 photos in each 2 rows.
5. 20 photos in a single row.