Answer:
The expression is (x,y) -----> (x-3,y-2)
Step-by-step explanation:
we have that
A(1,5) ----> A'(-2,3)
so
The rule of the translation is equal to
(x,y) -----> (x',y')
(x,y) -----> (x-3,y-2)
That means-----> the translation is 3 units at left and 2 units down
If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.

The limits are not numbers, so the asymptote doesn't exist.
Answer:

Step-by-step explanation:
To find the equation of this circle, we must know the center and the radius.
We can find the radius by dividing the value of the distance formula by 2 (since
):

We can then find the center of the circle by averaging the coordinates:


Then, we substitute these values into the equation of a circle:
