Question

What is the distance rounded to the nearest 10th between the points (-2, 4) and (6, -4 )

Answer 1

Answer:

The answer for the distance:

$d \approx 11.3$

Step-by-step explanation:

You first need the distance formula:

$d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

-Use the two points (-2,4) and (6,-4) for the distance formula:

$d = \sqrt{(6+2)^2+(-4-4)^2}$

-Then, solve the equation to get the distance:

$d = \sqrt{(6+2)^2+(-4-4)^2}$

$d = \sqrt{(8)^2+(-8)^2}$

$d = \sqrt{64+64}$

$d = \sqrt{128}$

$d = 8\sqrt{2} \approx 11.31$

-Round to the nearest tenth:

$d \approx 11.3$

So, therefore, the answer for the distance is $d \approx 11.3$ .