Answer:76
Step-by-step explanation:
Answer:
The transformation is (y,-x)
Step-by-step explanation:
To know the mapping notation, we need to know the coordinates of the image and the pre-image
For the pre-image, we have;
A(3,8)
B(6,8)
C(6,2)
For the image, we have
A’( 8,-3)
B’ (8,-6)
C’ (2,-6)
So let us try and get the transformation from the coordinates
We can see that this is;
(x,y) to (y,-x)
1/2(4x-5) + 5/2 = 10
Use the distributive property:
2x - 5/2 + 5/2 = 10
Use addition property:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
The conversion factor between radians and revolution as measures of angle is 2π rad is equal to 1 revolution. Converting the given angular velocity to rev/s,
(2.8 rad) x (1 rev / 6.28 rad) = 70/157 revolution per second
Dividing the given angle, 20 rev by the velocity,
(20 rev) / (70/157 rev/s) = 44 6/7 s
Thus, the answer is approximately 44.9 seconds.
Answer:
e
f
∘
g
(
x
)
=
2
x
2
−
4
x
−
3
And
g
∘
f
(
x
)
=
(
2
x
−
3
)
(
2
x
−
5
)
Step-by-step explanation: f
(
x
)
=
2
x
−
3
g
(
x
)
=
x
2
−
2
x
=
f
(
g
(
x
)
)
=
f
(
x
2
−
2
x
)
=
2
(
x
2
−
2
x
)
−
3
=
2
x
2
−
4
x
−
3
g
∘
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
2
x
−
3
)
=
(
2
x
−
3
)
2
−
2
(
2
x
−
3
)
=
(
2
x
−
3
)
(
2
x
−
3
−
2
)
=
(
2
x
−
3
)
(
2
x
−
5
)
f
∘
g
(
x
)
≠
g
∘
f
(
x
)
