Question

, ) What is the distance between the two points? The distance is units. Item 16 Two points are located at (a,c) and (b,c). What is the midpoint of the segment between the two points? The midpoint is ( , ) What is the distance between the two points? The distance is units.

Answer 1

Answer: Midpoint of the segment between the two points= $(\dfrac{a+b}{2},c)$

Distance between points  =$b-a$ units

Step-by-step explanation:

Mid-point formula : $(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})$

Distance formula : $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given: Two points are located at (a,c) and (b,c).

Midpoint of the segment between the two points = $(\dfrac{a+b}{2},\dfrac{c+c}{2})$

$=(\dfrac{a+b}{2},\dfrac{2c}{2})\\\\=(\dfrac{a+b}{2},c)$

Distance between points = $\sqrt{(b-a)^2+(c-c)^2}=\sqrt{(b-a)^2+(0)^2}$

$=\sqrt{(b-a)^2}=b-a$ units