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
Answer:
The space that the package would occupy is 45
cubic feet.
Step-by-step explanation:
The space that the package occupies is the volume of the cylinder. The volume of an object is the 3 dimensional capacity of the object.
Volume of a cylinder = 
h
where: r is the radius and h is the height of the cylinder.
Given that; h = 5 feet and r = 3 feet.
The required volume = × 
× 5
= × 9 × 5
= 45 cubic feet
The space that the package would occupy is 45 cubic feet.
Answer:
B.
Step-by-step explanation:
The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3
Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.
Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.
So, the answer that follows these 2 conditions is B.
The answer is C that’s all I can give to you
Answer: 
Step-by-step explanation:
