. The value of y for which the distance between the points (2, -3) and ( 10, y) is 10 units is
a) -3,9
b) 3,9
c) 3,-9
d) -3,-9
Answers
Answered by
8
Answer:
3,-9 is the answer
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Answered by
1
Step-by-step explanation:
The distance between the points
(
5
,
−
9
)
and
(
11
,
y
)
is
10
units. Find the values of y.
A
−
2
,
−
17
B
−
1
,
−
17
C
−
1
,
−
27
D
−
1
,
17
Solution
A
(
5
,
−
9
)
B
(
11
,
y
)
A
B
=
10
=
10
=
√
(
11
−
5
)
2
+
(
y
+
9
)
2
squaring on both sides
100
=
(
6
)
2
+
(
y
+
9
)
2
100
=
36
+
(
y
+
9
)
2
|
y
+
9
|
=
√
64
y
+
9
=
8
,
y
+
9
=
−
8
y
=
−
1
,
y
=
−
17
y
=
−
1
,
−
17
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