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Parallelogram and Random Point
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Expression 20: "f" left parenthesis, "p" Subscript, "x" , Baseline , "p" Subscript, "y" , Baseline , "q" Subscript, "x" , Baseline , "q" Subscript, "y" , Baseline , right parenthesis equals StartRoot, left parenthesis, "p" Subscript, "x" , Baseline minus "q" Subscript, "x" , Baseline , right parenthesis squared plus left parenthesis, "p" Subscript, "y" , Baseline minus "q" Subscript, "y" , Baseline , right parenthesis squared , EndRoot
f
p
x
,
p
y
,
q
x
,
q
y
=
p
x
−
q
x
2
+
p
y
−
q
y
2
20
Expression 21: "L" Subscript, "a" , Baseline equals "f" left parenthesis, "r" Subscript, 1 , Baseline , "r" Subscript, 2 , Baseline , "a" Subscript, 1 , Baseline , "a" Subscript, 2 , Baseline , right parenthesis
L
a
=
f
r
1
,
r
2
,
a
1
,
a
2
equals
=
6.7 6 2 8 4 7 0 3 3 6 1
6
.
7
6
2
8
4
7
0
3
3
6
1
21
Expression 22: "L" Subscript, "b" , Baseline equals "f" left parenthesis, "r" Subscript, 1 , Baseline , "r" Subscript, 2 , Baseline , "b" Subscript, 1 , Baseline , "b" Subscript, 2 , Baseline , right parenthesis
L
b
=
f
r
1
,
r
2
,
b
1
,
b
2
equals
=
5.6 8 2 4 3 7 8 5 7 1 2
5
.
6
8
2
4
3
7
8
5
7
1
2
22
Expression 23: "L" Subscript, "c" , Baseline equals "f" left parenthesis, "r" Subscript, 1 , Baseline , "r" Subscript, 2 , Baseline , "c" Subscript, 1 , Baseline , "c" Subscript, 2 , Baseline , right parenthesis
L
c
=
f
r
1
,
r
2
,
c
1
,
c
2
equals
=
2.9 0 9 3 1 2 6 3 3 6
2
.
9
0
9
3
1
2
6
3
3
6
23
Expression 24: "L" Subscript, "d" , Baseline equals "f" left parenthesis, "r" Subscript, 1 , Baseline , "r" Subscript, 2 , Baseline , "d" Subscript, 1 , Baseline , "d" Subscript, 2 , Baseline , right parenthesis
L
d
=
f
r
1
,
r
2
,
d
1
,
d
2
equals
=
4.4 6 4 3 1 4 0 5 7 0 5
4
.
4
6
4
3
1
4
0
5
7
0
5
24
Expression 25: "L" Subscript, "a" , Baseline plus "L" Subscript, "c" , Baseline minus "L" Subscript, "b" , Baseline minus "L" Subscript, "d" , Baseline
L
a
+
L
c
−
L
b
−
L
d
equals
=
negative 0.4 7 4 5 9 2 2 4 6 9 6 5
−
0
.
4
7
4
5
9
2
2
4
6
9
6
5
25
The above should always be zero if the statement is true.
The above should always be zero if the statement is true.
26
27
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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