106k views
0 votes
For the point p(20,5) and q(27,8)​, find the distance​ d(p,q) and the coordinates of the midpoint m of the segment pq.

1 Answer

2 votes

To find the distance between two points, we can use the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). Using the coordinates of p(20,5) and q(27,8), we can substitute these values into the formula to get d(p,q) = sqrt((27 - 20)^2 + (8 - 5)^2). Simplifying this gives us d(p,q) = sqrt(49 + 9) = sqrt(58).

To find the coordinates of the midpoint, we can use the midpoint formula: m = ( (x1 + x2) / 2, (y1 + y2) / 2 ). Substituting the values of p(20,5) and q(27,8) into the formula gives us m = ( (20 + 27) / 2, (5 + 8) / 2 ). Simplifying this gives us m = (23.5, 6.5).

Learn more about Coordinates

User Souvik Basu
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories