Answer:
a reflection over the x-axis and then a 90 degree clockwise rotation about the origin
Step-by-step explanation:
Lets suppose triangle JKL has the vertices on the points as follows:
J: (-1,0)
K: (0,0)
L: (0,1)
This gives us a triangle in the second quadrant with the 90 degrees corner on the origin. It says that this is then transformed by performing a 90 degree clockwise rotation about the origin and then a reflection over the y-axis. If we rotate it 90 degrees clockwise we end up with:
J: (0,1) , K: (0,0), L: (1,0)
Then we reflect it across the y-axis and get:
J: (0,1), K:(0,0), L: (-1,0)
Now we go through each answer and look for the one that ends up in the second quadrant;
If we do a reflection over the y-axis and then a 90 degree clockwise rotation about the origin we end up in the fourth quadrant.
If we do a reflection over the x-axis and then a 90 degree counterclockwise rotation about the origin we also end up in the fourth quadrant.
If we do a reflection over the x-axis and then a reflection over the y-axis we also end up in the fourth quadrant.
The third answer is the only one that yields a transformation which leads back to the original position.
Jack swims a distance of 9*25.0m=225.0 meters is 2 min and 34.5 seconds.
2 min and 34.5 seconds are 2*60sec +34.5 sec= 154.5 s
Jill covers 10*25.0m = 250 m in 154.5 s.


thus,
the speed of Jack is : 225.0 meters /154.5 s =(225/154.5) m/s = 1.46 m/s
the speed of Jill is : 250.0 meters /154.5 s =(250/154.5) m/s = 1.62 m/s
Assuming Jack and Jill depart from point 0 towards the positive direction,
each even number of lengths, means Displacement = 0, and each odd number of lengths means Displacement = 25 m
So, average Velocity of Jill is 0,
average velocity of Jack is 25/ 154.5 = 0.16 m/s
Answer:
Average Speed of Jack : 1.46 m/s
Average Speed of Jill : 1.62 m/s
Average Velocity of Jack : 0
Average Velocity of Jill : 0.16 m/s
Answer:
The length of the angle bisector of angle ∠A is 6.01.
Step-by-step explanation:
It is given that length of leg AC = 5 ft and the hypotenuse AB = 13 ft.
Using pythagoras theorem








Bisector divides the angle in two equal parts, therefore,

In triangle ACD.





Therefore the length of the angle bisector of angle ∠A is 6.01.