Answer:
Option A is correct
The only figure after composition of to figure R is Figure H
Step-by-step explanation:
From the given figure in R;
The coordinates in Figure R ;
(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)
Composite function defined as when one function is substituted into another function.
To Apply the composition to figure R;
First apply the Reflection in Figure R;
The rule of reflection is given by:
By applying the rule of reflection in Figure R ,
then, the coordinates becomes;
(1 , -1) (1, 1)
(2 , -2) (2, 2)
(4 , -2) (2, 4)
(0, -4) (4, 0)
Now, apply the translation
Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.
then,
the rule of translation is:
Apply the rule of translation on coordinates (1,1) , (2,2), (2,4) and (4,0)
then
(1 , 1) (1+0 1+3) =(1,4)
(2, 2) (2+0 2+3) =(2, 5)
(2, 4) (2+0 4+3) =(2 ,7) and
(4, 0) (4+0 0+3) =(4 ,3)
Then, the only figure after composition of to figure R is Figure H
Answer:
.
Step-by-step explanation:
The given number is .
We need to find a rational number in fraction form that is equivalent to given number.
Let
...(1)
Multiply both sides by 10.
...(2)
Subtracting (1) from (2), we get
Divide both sides by 9.
Therefore, the required rational number is .