Question

On a coordinate grid, your campsite is located at (-8,-6) and the next checkpoint

Answer 1

Answer:

The distance between campsite and checkpoint is: 4.47 miles

Step-by-step explanation:

Given that the coordinates :

Campsite at (-8,-6) and

Next checkpoint at (-4,-4).

To find:

Distance between campsite and checkpoint = ?

Solution:

Let point A be the campsite i.e. A(-8, -6)

Let point B be the next checkpoint i.e. B(-4, -4)

We have to find the distance AB.

We can use Distance formula  to find the distance between two points on xy coordinate plane:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$x_1 = -8\\y_1 = -6\\x_2 = -4\\y_2 = -4$

$AB = \sqrt{(-4-(-8))^2+(-4-(-6))^2}\\\Rightarrow AB = \sqrt{4^2+2^2}\\\Rightarrow AB = \sqrt{16+4}\\\Rightarrow AB = \sqrt{20}\\\Rightarrow \bold{AB=4.47}$

So, the distance between campsite and checkpoint is: 4.47 miles