Question

DONT SKIP HELP PLZZZZZZZZZZZZZ

Answer 1

Option D: The distance between the two points is 13 units

Explanation:

It is given that the two points are $(-5,-2)$ and $(8,-3)$

We need to determine the distance between the two points.

It is also given that the distance between the two points can be determined using the formula,

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

Substituting the points $(-5,-2)$ and $(8,-3)$ for the coordinates $(x_1,y_1)$ and $(x_2,y_2)$

Thus, we get,

$d=\sqrt{(8-(-5))^2+(-3-(-2))^2}$

Simplifying, we have,

$d=\sqrt{(8+5)^2+(-3+2)^2}$

Adding the terms, we get,

$d=\sqrt{(13)^2+(-1)^2}$

Squaring the terms, we have,

$d=\sqrt{169+1}$

Adding the terms, we get,

$d=\sqrt{170}$

Simplifying and rounding off the value to the nearest tenth, we have,

$d=13.0 \ units$

Hence, the distance between the two points is 13 units.

Therefore, Option D is the correct answer.