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? 19 feet 13 feet 11 feet 21 feet

Explanation:

Step1: Identify distance - formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(6,9)$ and $(x_2,y_2)=(5, - 4)$.

Step2: Calculate differences

First, find $x_2 - x_1$ and $y_2 - y_1$. $x_2 - x_1=5 - 6=-1$ and $y_2 - y_1=-4 - 9=-13$.

Step3: Square the differences

Square the results from Step 2. $(x_2 - x_1)^2=(-1)^2 = 1$ and $(y_2 - y_1)^2=(-13)^2 = 169$.

Step4: Sum and square - root

Sum the squared differences and take the square - root. $d=\sqrt{1 + 169}=\sqrt{170}\approx 13$.

Answer:

13 feet