Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved
is a reflection across the ___ , followed by a reflection across the line ___.
2 answers:
Answer:
<h2>y = x line</h2><h2>x = 0 line</h2>Step-by-step explanation:
The polygon ABCD showed in the image attached is first reflected across the y = x line, from the second quadrant to the fourth quadrant. This reflection will result like the second image.
Then, it's reflect across the y-axis, which in terms of lines would be x = 0 line. This reflection will be like the last position showed in the first image, it's a common reflection with y-axis as a mirror.
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he formula of a distance between a point (a, b)
and a line Ax + By + C = 0:
We have the point A(-1, 7) → a = -1, b = 7
and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.
Substitute:
Answer:
C. Robbie's glider
Step-by-step explanation:
P.S -The exact question is -
Given - Melissa and Robbie are flying remote control gliders.
The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.
m(s) = 0.4(s³ - 11s² + 31s – 1)
The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.
To find - Which glider reaches the greater maximum altitude in the first 6 seconds after launch?
A. Neither glider reaches a maximum altitude on the given interval.
В. Melissa's glider
C. Robbie's glider
D. Both gliders reach the same altitude on the given interval.
Proof -
At t = 6 sec,
Melisa glider is
h(6) = 0.4((0.6)³ - 11(0.6)² + 31(0.6) – 1)
= 0.4( 0.216 - 3.96 + 18.6 - 1 )
= 0.4(13.856) = 5.5424
⇒h(6) = 5.5424
∴ we get
At t = 6 seconds, Melissa glider is at the altitude of 5.54 feet
Now,
From the figure, we can see that,
At t = 6 seconds, Robbie's glider is approximately at an altitude of 13 feet
Now,
As 13 > 5.5
So,
Robbie's glider is at maximum height in 6 seconds after the launch.
So,
The correct option is - C. Robbie's glider
