Loading...
A, P, M and O are Collinear
Save Copy
Desmos Logo
Log In
Sign Up
Expression 22: "a" "x" squared plus "b" "x" plus "c" equals 0
a
x
2
+
b
x
+
c
=
0
22
Expression 23: "D" Subscript, 1 , Baseline equals StartFraction, negative "b" plus StartRoot, "b" squared minus 4 "a" "c" , EndRoot Over 2 "a" , EndFraction
D
1
=
−
b
+
b
2
−
4
a
c
2
a
equals
=
4.6 7 2 2 6 4 9 1 0 7
4
.
6
7
2
2
6
4
9
1
0
7
23
Expression 24: "D" Subscript, 2 , Baseline equals StartRoot, "R" squared minus "D" squared , EndRoot
D
2
=
R
2
−
D
2
1
equals
=
3.7 6 4 2 9 8 1 5 5 6
3
.
7
6
4
2
9
8
1
5
5
6
24
Expression 25: "a" equals 1 plus "m" squared
a
=
1
+
m
2
2
equals
=
1.0 2 4 2 8 3 7 8 4 7 4
1
.
0
2
4
2
8
3
7
8
4
7
4
25
Expression 26: "b" equals "C" Subscript, 2 , Baseline "m" Subscript, 2 , Baseline minus "C" Subscript, 1 , Baseline "m" squared plus "C" Subscript, 2 , Baseline "m" Subscript, 2 , Baseline minus "C" Subscript, 1 , Baseline "m" squared
b
=
C
2
m
2
−
C
1
m
2
2
+
C
2
m
2
−
C
1
m
2
2
equals
=
0.9 4 6 2 7 9 8 3 7 0 3 8
0
.
9
4
6
2
7
9
8
3
7
0
3
8
26
Expression 27: "c" equals "m" squared "C" squared minus 2 "m" Subscript, 2 , Baseline "C" Subscript, 1 , Baseline "C" Subscript, 2 , Baseline plus "C" squared minus "R" squared
c
=
m
2
2
C
2
1
−
2
m
2
C
1
C
2
+
C
2
2
−
R
2
equals
=
negative 26.7 8 1 4 4 5 9 3 7 3
−
2
6
.
7
8
1
4
4
5
9
3
7
3
27
Expression 28: "M" Subscript, 1 , Baseline equals "R" cosine "A" Subscript, "O" "T" , Baseline
M
1
=
R
c
o
s
A
O
T
equals
=
2.5 0 7 2 0 2 4 4 2 8 1
2
.
5
0
7
2
0
2
4
4
2
8
1
28
Expression 29: "M" Subscript, 2 , Baseline equals "R" sine "A" Subscript, "O" "T" , Baseline
M
2
=
R
s
i
n
A
O
T
equals
=
5.4 5 1 0 4 9 0 6 5 1 6
5
.
4
5
1
0
4
9
0
6
5
1
6
29
Expression 30: "P" Subscript, 1 , Baseline equals left parenthesis, "R" plus "R" Subscript, 1 , Baseline , right parenthesis cosine "A" Subscript, "O" "T" , Baseline
P
1
=
R
+
R
1
c
o
s
A
O
T
equals
=
3.3 4 2 9 3 6 5 9 0 4 1
3
.
3
4
2
9
3
6
5
9
0
4
1
30
Expression 31: "P" Subscript, 2 , Baseline equals left parenthesis, "R" plus "R" Subscript, 1 , Baseline , right parenthesis sine "A" Subscript, "O" "T" , Baseline
P
2
=
R
+
R
1
s
i
n
A
O
T
equals
=
7.2 6 8 0 6 5 4 2 0 2 1
7
.
2
6
8
0
6
5
4
2
0
2
1
31
Expression 32: "T" Subscript, 1 , Baseline equals "R"
T
1
=
R
equals
=
6
6
32
Expression 33: "T" Subscript, 2 , Baseline equals "O" Subscript, 2 , Baseline
T
2
=
O
2
equals
=
0
0
33
Graphs
Graphs
Hide this folder from students.
34
Expression 35: "y" less than 30
y
<
3
0
35
Hidden Label: "A" , "O"
A
,
O
Label
equals
=
left parenthesis, 4.1 7 9 , 9.0 8 5 , right parenthesis
4
.
1
7
9
,
9
.
0
8
5
left parenthesis, 0 , 0 , right parenthesis
0
,
0
36
Hidden Label: "C" , "O"
C
,
O
Label
equals
=
left parenthesis, negative 5.5 9 6 , 2.1 6 4 , right parenthesis
−
5
.
5
9
6
,
2
.
1
6
4
left parenthesis, 0 , 0 , right parenthesis
0
,
0
37
Hidden Label: "D" , "O"
D
,
O
Label
equals
=
left parenthesis, 4.6 7 2 , 3.7 6 4 , right parenthesis
4
.
6
7
2
,
3
.
7
6
4
left parenthesis, 0 , 0 , right parenthesis
0
,
0
38
Expression 39: left parenthesis, "O" Subscript, 1 , Baseline plus "t" "R" , "O" Subscript, 2 , Baseline , right parenthesis
O
1
+
t
R
,
O
2
domain t Minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
1
1
domain t Maximum:
39
Expression 40: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis
R
c
o
s
t
,
R
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
40
Expression 41: polygon left parenthesis, "A" , "C" , "D" , right parenthesis
p
o
l
y
g
o
n
A
,
C
,
D
41
Expression 42: left parenthesis, "M" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "M" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis
M
1
+
R
1
c
o
s
t
,
M
2
+
R
1
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 360
3
6
0
42
Points
Points
Hide this folder from students.
43
53
powered by
powered by
O
T
A
B
C
D
M
P
"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
+
Log In
or
Sign Up
to save your graphs!
New Blank Graph
Examples
Lines: Slope Intercept Form
example
Lines: Point Slope Form
example
Lines: Two Point Form
example
Parabolas: Standard Form
example
Parabolas: Vertex Form
example
Parabolas: Standard Form + Tangent
example
Trigonometry: Period and Amplitude
example
Trigonometry: Phase
example
Trigonometry: Wave Interference
example
Trigonometry: Unit Circle
example
Conic Sections: Circle
example
Conic Sections: Parabola and Focus
example
Conic Sections: Ellipse with Foci
example
Conic Sections: Hyperbola
example
Polar: Rose
example
Polar: Logarithmic Spiral
example
Polar: Limacon
example
Polar: Conic Sections
example
Parametric: Introduction
example
Parametric: Cycloid
example
Transformations: Translating a Function
example
Transformations: Scaling a Function
example
Transformations: Inverse of a Function
example
Statistics: Linear Regression
example
Statistics: Anscombe's Quartet
example
Statistics: 4th Order Polynomial
example
Lists: Family of sin Curves
example
Lists: Curve Stitching
example
Lists: Plotting a List of Points
example
Calculus: Derivatives
example
Calculus: Secant Line
example
Calculus: Tangent Line
example
Calculus: Taylor Expansion of sin(x)
example
Calculus: Integrals
example
Calculus: Integral with adjustable bounds
example
Calculus: Fundamental Theorem of Calculus
example
Terms of Service
|
Privacy Policy