Date:

Course: Pre$-$Calculus Fall $2022$

Assignment: Homework Final weeks

For the points $P$ and $Q$ do the following.

$($a$)$ Find the distance $d(P,Q).$

$($b$)$ Find the coordinates of the midpoint $M$ of the segment $PQ.$

$P(3\sqrt[\phantom{2}]{5},5\sqrt[\phantom{2}]{7}),Q(\sqrt[\phantom{2}]{5},-\sqrt[\phantom{2}]{7})$

$($a$)$ The distance $d(P,Q)$ is

$($Simplify your answer. Type an exact answer, using radicals as needed.$)$

$($b$)$ The midpoint of the segment $PQ$ is $M$

$($Simplify your answer. Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed.$)$

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. $($Hint: Let $(x,y)$ be the unknown endpoint.