Answer:
The distance is
3√10 or about 9.49 (rounded to nearest hundredth's place).
Step-by-step explanation:
The distance is
3
√
10
or about
9.49
(rounded to nearest hundredth's place).
Explanation:
The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
+
(
z
2
−
z
1
)
2
We have the two coordinates, so we can plug in the values for
x
,
y
, and
z
:
d
=
√
(
−
2
−
1
)
2
+
(
−
3
−
(
−
3
)
)
2
+
(
4
−
(
−
5
)
)
2
(I wasn't sure if the
3
−
meant
3
or
−
3
, so I assumed it was
−
3
)
Now we simplify:
d
=
√
(
−
3
)
2
+
(
0
)
2
+
(
9
)
2
d
=
√
9
+
0
+
81
d=√90
d=3√10
If you want to leave it in exact form, you can leave the distance as
3√10
. However, if you want the decimal answer, here it is rounded to the nearest hundredth's place:
d≈9.49
Hope this helps!
