A line segment has endpoints of (-3, 2) and (5, -2). Find the distance between the endpoints.

Round your answer to the nearest tenth (one number past the decimal). If the second number past the decimal is 5 or greater, round up.

Respuesta :

Answer:

[tex]d=8.9\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

(-3, 2) and (5, -2)

substitute the values in the formula

[tex]d=\sqrt{(-2-2)^{2}+(5+3)^{2}}[/tex]

[tex]d=\sqrt{(-4)^{2}+(8)^{2}}[/tex]

[tex]d=\sqrt{80}\ units[/tex]

[tex]d=8.94\ units[/tex]

Round to the nearest tenth

[tex]d=8.9\ units[/tex]