What is the value of x in the figure below? show your work.

2√26

Step-by-step explanation:

First, let's label side AB as y and side BP as h.

Then, using the Pythagorean Theorem, we can determine that for ΔABP,

5²+h²=y², which is equal to h² = y²- 25.

For ΔBPC, 8²+ h² = x², which is equal to h² = x²- 64.

Because both equations are equal to h², you can determine that y²- 25 = x²- 64. You can rewrite this equation as x²- y² = 39.

Then, for ΔABC, x²+ y² = (5+8)², which is equal to x²+ y² = 169.

Now, you can see that we have a system of equations. Using elimination, we can add the equations, getting:

2x² = 208

x² = 104

x = ±√104 which simplifies into ±2√26, but since x is a distance, and distance is always positive, the answer has to be 2√26.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

answer: -2+√x,-2-√x

i hope this , i don't know if you're looking for a pair or not.