Question

Stanley marked two points on the grid below to show the locations of the fiction section, point F, and the travel section, point T, in a bookstore.

Answer 1

EXPLANATION

We need to calculate the distance between the points (x₁,y₁)=(-8,-3) and (x₂,y₂)=(-3,8) applying the distance equation as shown as follows:

distance=

`\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}`

Substituting terms:

`\text{Distance = }\sqrt[]{(-3-(-8))^2+(8-(-3))^2}`

Adding numbers:

`\text{Distance}=\sqrt[]{(5)^2+(11)^2}=\sqrt[]{(25+121)}=\sqrt[]{146}`

The shortest distance is sqrt(146)