1/8 or 1 in 8. There are 8 sections and only one is yellow. Therefore, you have a 1/8 chance of spinning yellow. As a percent it would
be 12.5%
Answer:
- A'(4, -4)
- B'(0, -3)
- C'(2, -1)
- D'(3, -2)
Step-by-step explanation:
The coordinate transformation for a 270° clockwise rotation is the same as for a 90° counterclockwise rotation:
(x, y) ⇒ (-y, x)
The rotated points are ...
A(-4, -4) ⇒ A'(4, -4)
B(-3, 0) ⇒ B'(0, -3)
C(-1, -2) ⇒ C'(2, -1)
D(-2, -3) ⇒ D'(3, -2)
_____
<em>Additional comment</em>
To derive and/or remember these transformations, it might be useful to consider where a point came from when it ends up on the x- or y-axis.
A point must have come from the -y axis if rotating it 270° CW makes it end up on the +x-axis. A point must have come from the x-axis if rotating it 270° makes it end up on the +y axis. That is why we write ...
(x, y) ⇒ (-y, x) . . . . . . the new x came from -y; the new y came from x
Y =2x +14
-4x –y = 4 so y = -4x – 4
2x + 14 = -4x – 4
2x + 4x = -4 - 14
6x = -18
x = -18/6
x = -3
Y =2x +14
y = 2(-3) +14
y= -6 +14
y=8
answer:
y-coordinate is 8
I think the answer is $166,742.24
