Answer:

Step-by-step explanation:
Given




Required
Determine the new coordinate of J
From rules of rotation,
When a point (x,y) is rotated 270 degrees CCW;
The new point becomes (y,-x)
Considering point J

This means

Where
and 
Using the above rotation rule of

The coordinates of J' becomes

Answer:

And if we use the permutation formula given by:

And replacing we got:

Step-by-step explanation:
For this problem we want to find the following expressionÑ

And if we use the permutation formula given by:

And replacing we got:

Answer:
Vertex form: f(x)=8(x+\frac{1}{4}
Step-by-step explanation:
As there is no sample expressions which could be the given answer we will solve it by the equation
(amount of time it takes to complete one round)*(number of rounds completed)=
We know that it took Samantha 1.52 minutes to go around once and assume that she continues this pace for 3 rounds. To solve for this we plug in our numbers into our equation.
1.52*3=<span>4.56</span> minutes to complete 3 rounds.
Does that answer your question?