Line Y P is the perpendicular bisector of V L . P Y = 1/2x + 1 , Y V = 1/4 x + 9/2 and Y L = 3/2 x − 1/2 . What is the length of P Y ?

Question

asked Apr 13, 2024 13.2k views

1 Answer

Jemfinch · Answer 1 · 2024-04-19T20:19:28+0000

Answer:

PY=3 units

Explanation:

Segments YL and YV would have to be the same length, taking into account the fact that they have equal length bases.

Thus,

$YL=YV\\3/2x-1/2=1/4 x+9/2\\3/2x-1/4x=9/2+1/2\\5/4x=5\\x=4$

Meaning that line PY would be

$1/2x+1=PY\\1/2(4)+1=PY\\2+1=PY\\PY=3$