In this case,
A square on a coordinate plane moves down by 
units and to the right by 
unit.
This implies that
the translation rule is
thus,
the right option is A
T1, –9(x, y)
Answer:
"Rotation" refers to the action of turning about a central point: The distance from this center to any part of the shape remains constant. Each point traces out a circular path around the center.
Figure 2 was derived from figure 1. Among all the proposed options, those relevant for the transformation being classified as a rotation are:
A) The line connecting the center of rotation, C, to a point in the original image (figure 1) has the same length as the line connecting the center to the corresponding point in the new image (figure 2).
(B) The transformation maintains rigidity.
(C) Every point in figure 1 rotates through an identical angle around the center of rotation, C, to form figure 2.
(E) If figure 1 undergoes a 360° rotation about point C, it will align with itself.
Thus, options A, B, C, and E are valid.
Answer:
-29.61m/s
Step-by-step explanation:
To find the average speed of the pencil after dropping it for 2.8 seconds, we start with the fall distance equation for the student, s(t) = −16t² + 8√t. First, we differentiate this function since velocity is the rate of change of distance with respect to time, expressed as
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t + 1/2(8)t^(1/2 - 1)
V = -32t + 4t^-1/2
To find the average speed, we substitute t = 2.8 into the derived equation since the pencil reaches the ground precisely after 2.8 seconds.
V = -32t + 4(2.8)^-1/2
V = -32 + 4/√2.8
V = -32 + 4/1.6733
V = -32 + 2.391
v = -29.61m/s
Thus, the average speed at which it fell is -29.61m/s
The problem requests that we express the formula in your inquiry where N0 symbolizes N-naught, and the letter represents the lowercase Greek letter lambda. Therefore, the optimal response or formulation would indicate that lambda denotes the wavelength for this expression. I trust this information meets your expectations.
