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Mathematics
Mathematics
Problem
The line through the points
A
(
1
,
2
)
A(1, 2)
A
(
1
,
2
)
and
B
(
5
,
p
)
B(5, p)
B
(
5
,
p
)
is perpendicular to the line joining
C
(
3
,
−
1
)
C(3, -1)
C
(
3
,
−
1
)
and
D
(
q
,
7
)
D(q, 7)
D
(
q
,
7
)
. If
p
p
p
and
q
q
q
are integers such that
p
+
q
=
10
p + q = 10
p
+
q
=
10
, determine the ordered pair
(
p
,
q
)
(p, q)
(
p
,
q
)
.
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