Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
=
=
= x
-----------------------------------------------------------------------------
g(f(x))
= g(
)
= ( 6 ×
) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Answer:
Isosceles
Step-by-step explanation:
The one lined mark on the two angles mean that they are the same since they have the same mark.
I can't really give an explanation, since it's just multiplication, so here are the answers:
1. 32
2. 12
3. 24
4. 40
5. 20
6. 12
7. 12
As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.
The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.
Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).