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1
2018 Algebra / NT #1
2018 Algebra / NT #1
Source:
February 12, 2018
Problem Statement
For some real number
c
,
c,
c
,
the graphs of the equation
y
=
∣
x
−
20
∣
+
∣
x
+
18
∣
y=|x-20|+|x+18|
y
=
∣
x
−
20∣
+
∣
x
+
18∣
and the line
y
=
x
+
c
y=x+c
y
=
x
+
c
intersect at exactly one point. What is
c
c
c
?
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