Respuesta :
Answer:
(
0
,
−
2
)
,
(
4
,
2
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
4
−
0
)
2
+
(
2
−
(
−
2
)
)
2
Simplify.
Tap for more steps...
4
√
2
The result can be shown in multiple forms.
Exact Form:
4
√
2
Decimal Form:
5.65685424
…
Step-by-step explanation:
hope it helps!
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[0 - (-3)]^2 + [-2 - 4]^2}\implies d=\sqrt{(0+3)^2+(-6)^2} \\\\\\ d=\sqrt{45}\implies d=\sqrt{3^2\cdot 5}\implies d=3\sqrt{5}[/tex]
