Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

Here we can convert the expression x+1/3 to this.

Rewrite the equation.

Simplify by multiplying both expressions.

<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.


The equation is true for both roots.
<u>Answer</u>

Answer:
The projected enrollment is 
Step-by-step explanation:
Consider the provided projected rate.

Integrate the above function.


The initial enrollment is 2000, that means at t=0 the value of E(t)=2000.




Therefore,
Now we need to find 


Hence, the projected enrollment is 