1) Determine the unit rate of travel for each animal by dividing the distance traveled (y) by the number of hours (x).
Bottlenose Dolphin: 40 = 20 miles per hour
King Penguin: 40 = 5 miles per hour
Swordfish: 60 miles per hour

It takes the Dolphin 2 hours for swimming 40 miles. The penguin takes 8 hours and the swordfish will take 2/3 of an hour, which is 40 minutes to travel 40 miles.

Step-by-step explanation:

Given :

The bottlenose dolphin travels 40 miles in 2 hours. Or it takes 20 miles in 1 hour.

Now, dividing the distance by unit rate given in the question:

40/20=2 hours

40/5=8 hours

40÷60= 2/3 hour

Therefore,

- the dolphin takes 2 hours for swimming 40 miles.

- the penguin takes 8 hours

- the swordfish takes 2/3 rd of an hour

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.