Given:
The figure of a trapezoid.
The figure is translated down 5 units and then rotated 180 degrees clockwise.
To find:
The coordinates of the image of point W after these transformation.
Solution:
From the given figure it is clear that the coordinates of point W are (-6,3).
The figure is translated down 5 units. So,
After that the figure is rotated 180 degrees clockwise.
Therefore, the coordinates of point W after the given transformations are (6,2).
Refer to the diagram shown below.
The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15
The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.
The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.
Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5
Answer: x = -27/5
They are at the same position at 0.5 seconds because with respect to the ocean's surface, they are both 9 feet away.
Hope this helps!!
Answer:
CD ≠ EF
Step-by-step explanation:
Using the distance formula
d = 
with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)
CD = 
= 
= 
= 
Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)
EF = 
= 
= 
= 
Since ≈ , then CD and EF are not congruent
