Question

Two points are located at (−9,−8)

Answer 1

The distance between the two points is 5 units

Explanation:

Given that the two points are located at $(-9,-8)$ and $(-6,-4)$

We need to determine the distance between these two points using Pythagorean theorem.

The distance between the two points can be determined using the formula,

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

Substituting the coordinates $(-9,-8)$ and $(-6,-4)$ in the above formula, we get,

$c=\sqrt{(-6+9)^2+(-4+8)^2}$

Simplifying, we get,

$c=\sqrt{(3)^2+(4)^2}$

Squaring the terms, we get,

$c=\sqrt{9+16}$

Adding the terms, we have,

$c=\sqrt{25}$

Simplifying, we get,

$c=5$

Thus, the distance between the two points is 5 units.

Answer 2

Answer:

Two points are located at (−9,−8)

-

9

,

-

8

and (−6,−4)

-

6

,

-

4

.

Complete the equations below to show how you can use the Pythagorean theorem to find the distance between these two points.

Step-by-step explanation: