Question

1. joanne does a daily walk from building p to building q. given point p(6,9) and point q(5,-4), what is the distance between points p and q on this campus map of the local college? 11 feet 21 feet 19 feet 13 feet

Explanation:

1. First, identify the discipline and sub - field:

• This problem involves finding the distance between two points in a coordinate - based system. The discipline is Mathematics, and the sub - field is Geometry.

1. Then, use the distance formula \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\).

• Given \(P(6,9)\) and \(Q(5, - 4)\), where \(x_1 = 6,y_1 = 9,x_2 = 5,y_2=-4\).
• Substitute the values into the formula:
• \(d=\sqrt{(5 - 6)^2+(-4 - 9)^2}=\sqrt{(-1)^2+(-13)^2}=\sqrt{1 + 169}=\sqrt{170}\approx13\).

Answer:

13 feet