Answer:

Step-by-step explanation:
Given


Midpoint, T
Required
Determine PT
First, the value of x has to be calculated;
Since T is the midpoint, then:

This implies

Solve for x




Length PQ can then be calculated using:


Collect Like Terms


Substitute 6 for x



1) -1/20
2) -1
3) 1/16
4) 15
5) 19
6) 1/2
7) 19
8) -13
9) -19
10) 1
You can always use a Calculator.
Yes, it is the correct answer.
Equation: f(x)=(1/5)x^2 or f(x)=(0.2)x^2
Check:
f(0)=(1/5)(0)^2
f(0)=(1/5)(0)
f(0)=0✓
f(5)=(1/5)(5)^2
f(5)=(1/5)(25)
f(5)=5✓