SOLUTION: For each pair of points find the distance between them and the midpoint of the line segment joining them. a) (a,0),(b,0) b) (π,0),(π/2,1) Thank you in advance!!

Question 177740This question is from textbook College Algebra
: For each pair of points find the distance between them and the midpoint of the line segment joining them.
a) (a,0),(b,0)
b) (π,0),(π/2,1)
Thank you in advance!! This question is from textbook College Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

a)
Distance:

Start with the distance formula

Plug in ,, , and

Subtract

Square 0 to get 0

Simplify

Take the square root of the square to get the absolute value of original expression. Note: the distance is ALWAYS positive.

So the distance between the points (a,0),(b,0) is

----------------------------------------------

Midpoint:

X-Coordinate of the Midpoint

Start with the x-mid formula

Plug in and

So the x-coordinate of the midpoint is

-------

Y-Coordinate of the midpoint

Start with the y-mid formula

Plug in , and

Add

Reduce

So the y-coordinate of the midpoint is

So this means that the midpoint of the segment with the endpoints (a,0),(b,0) is

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SOLUTION: For each pair of points find the distance between them and the midpoint of the line segment joining them. a) (a,0),(b,0) b) (&#960;,0),(&#960;/2,1) Thank you in advance!!

SOLUTION: For each pair of points find the distance between them and the midpoint of the line segment joining them. a) (a,0),(b,0) b) (π,0),(π/2,1) Thank you in advance!!