Question

Find a dishes between an order pairs (-2 -1) and (-5,-4) round your solution to the nearest 10th, if necessary.

Answer 1

To solve this problem, we will use the following formula for the distance between two points (x₁,y₁) and (x₂,y₂):

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

Substituting the given points in the above formula, we get:

`d=\sqrt[]{(-2-(-5))^2+(-1-(-4))^2}.`

Simplifying the above result, we get:

`d=\sqrt[]{(-2+5)^2+(-1+4)^2}=\sqrt[]{3^2+3^2}=\sqrt[]{18}.`

Therefore:

`d\approx4.2.`

Answer:

`4.2`