The distance between the two points is 5 units
Explanation:
Given that the two points are located at [tex](-9,-8)[/tex] and [tex](-6,-4)[/tex]
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,
[tex]c=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the coordinates [tex](-9,-8)[/tex] and [tex](-6,-4)[/tex] in the above formula, we get,
[tex]c=\sqrt{(-6+9)^2+(-4+8)^2}[/tex]
Simplifying, we get,
[tex]c=\sqrt{(3)^2+(4)^2}[/tex]
Squaring the terms, we get,
[tex]c=\sqrt{9+16}[/tex]
Adding the terms, we have,
[tex]c=\sqrt{25}[/tex]
Simplifying, we get,
[tex]c=5[/tex]
Thus, the distance between the two points is 5 units.
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:
