Can someone please explain?

√105

Step-by-step explanation:

Since line TP is what you are looking for, draw a imaginary line from Point T to Point J, and using Pythagorean Theorem you will find that it is the c² in the

a² + b² = c²

Using Pythagorean Theorem, we can determine the measure of Segment TP by finding the measures of Segments MJ, JP, and the imaginary TJ.

If JK = 24, then half of JK is 12, which is Segment MJ(a²).

If JL = 16, then half of JL is 8, which is segment JP.

Therefore, we can setup a simple mathematical equation where since both MT and TP have right angles, we know that c² will be the imaginary line TJ, since the opposite of the right angle will be the c² always in the Pythagorean Theorem.

Equation:

5² + 12² = c²(or TJ)

8² + TP² = c²(or TJ)

25 + 144 = c²

64 = TP² = c²

Using the Law of Substitution, we can determine that:

25 + 144 = 64 + TP²

169 = 64 + TP²

105 = TP²

TP = √105

That's how I got my answer.

Hope this helps!

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .