find the distance between the origin and (8, -4)
Answers
Answered by
27
Answer:
Solution
We know that the distance between the two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
is
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Since, the origin has the coordinates
(
0
,
0
)
, thus
The given points are
(
0
,
0
)
and
(
−
8
,
15
)
and therefore,
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
=
√
(
−
8
−
0
)
2
+
(
15
−
0
)
2
=
√
(
−
8
)
2
+
15
2
=
√
64
+
225
=
√
289
=
√
17
2
=
17
Hence, the distance is
17
units
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