Jason is scuba diving at a constant rate toward the ocean floor. The equation
1 answer:
Answer:
Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.
Step-by-step explanation:
Jason is scuba diving at a constant rate toward the ocean floor.
Equation:
x = The number of seconds Jason has been swimming.
y=The depth of Jason in meters below sea level
General equation : y=mx+c
m = Slope = rate of change per unit
On comparing m = -2.5
Negative signs represents the descending .
So, rate of descending per second = 2.5 m/sec
-5 denotes the initial position below sea level
So, Option D is true
So, Jason started scuba diving 5 meters below sea level and is descending at a rate of 2.5 meters per second.
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The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
<h3>How to match the vertices of the polygon?</h3>The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
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