Dilation about the origin multiplies every coordinate by the scale factor.
C' = 4(-5, 2) = (-20, 8)
A' = 4(-4, 4) = (-16, 16)
T' = 4(-1, 2) = (-4, 8)
Answer:
Step-by-step explanation:
The inequality will be split into two
It is know that, if a<b<c
Then a<b and b<c
-8<2x-4<4
Apply that to this
Then,
-8<2x-4. Equation 1
Also,
2x-4<4 equation 2
Solving equation 1
-8<2x-4
Add 4 to both side of the equation
-8+4<2x-4+4
-4<2x
Divide both sides by 2
-4/2<2x/2
-2<x
Note, if a is less than b, then, b is greater than a, e.g. 4 is less than 10, this implies 10 is greater than 4
Therefore,
-2<x
Then, x greater than -2
Equation 2
2x-4<4
Add 4 to both side of the inequalities
2x-4+4<4+4
2x<8
Divide both side by 2
Then,
2x/2<8/2
x<4
Therefore x is between -2 and +4.
Check attachment for graphical solution
The first one and the last one, the 2 middle ones are not corresponding
Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y/change in x
= (8-5)/(5-2)
=3/3
Answer:
1
Step-by-step explanation:
use PEMDAS=
2+6=12
12x2=24
48/24=2
2-1= 1