For the point pleft parenthesis 5 comma 2 right parenthesis and qleft parenthesis 12 comma 7 right parenthesis, find the distance d(p, q) and the coordinates of the midpoint m of the segment pq.

The distance is which is approximately equal to 8.602 units

The midpoint is (8.5 , 5.5)

Explanation:

1- Getting the distance:

The distance between two points can be calculated using the following rule:

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

2- Getting the midpoint:

The midpoint of two points is calculated as follows:

The given points are:

(5,2) represents (x₁ , y₁)

(12,7) represents (x₂ , y₂)

Substitute with the givens in the above equation to get the distance as follows:

Hope this helps :)

step-by-step explanation:

a is the right answer