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Math Problems
Algebra 2
Quadrants
Find
tan
(
2
A
)
\tan (2 A)
tan
(
2
A
)
, if
tan
(
A
)
=
84
13
\tan (A)=\frac{84}{13}
tan
(
A
)
=
13
84
, and
A
A
A
is in quadrant
1
1
1
.
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If
x
<
0
x < 0
x
<
0
and
y
<
0
y < 0
y
<
0
, where is the point
(
x
,
y
)
(x, y)
(
x
,
y
)
located?
\newline
Choices:
\newline
(A) Quadrant I
\newline
(B) Quadrant II
\newline
(C) Quadrant III
\newline
(D) Quadrant IV
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If
x
>
0
x > 0
x
>
0
and
y
<
0
y < 0
y
<
0
, where is the point
(
x
,
y
)
(x, y)
(
x
,
y
)
located?
\newline
Choices:
\newline
(A) Quadrant I
\newline
(B) Quadrant II
\newline
(C) Quadrant III
\newline
(D) Quadrant IV
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If
x
>
0
x > 0
x
>
0
and
y
>
0
y > 0
y
>
0
, where is the point
(
x
,
y
)
(x, y)
(
x
,
y
)
located?
\newline
Choices:
\newline
(A)Quadrant I
\newline
(B)Quadrant II
\newline
(C)Quadrant III
\newline
(D)Quadrant IV
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If
x
<
0
x < 0
x
<
0
and
y
>
0
y > 0
y
>
0
, where is the point
(
x
,
y
)
(x, y)
(
x
,
y
)
located?
\newline
Choices:
\newline
(A) Quadrant I
\newline
(B) Quadrant II
\newline
(C) Quadrant III
\newline
(D) Quadrant IV
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If
sin
A
=
45
53
\sin A=\frac{45}{53}
sin
A
=
53
45
and
cos
B
=
12
13
\cos B=\frac{12}{13}
cos
B
=
13
12
and angles A and B are in Quadrant I, find the value of
tan
(
A
+
B
)
\tan (A+B)
tan
(
A
+
B
)
.
\newline
Answer:
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If
cos
A
=
60
61
\cos A=\frac{60}{61}
cos
A
=
61
60
and
tan
B
=
8
15
\tan B=\frac{8}{15}
tan
B
=
15
8
and angles A and B are in Quadrant I, find the value of
tan
(
A
+
B
)
\tan (A+B)
tan
(
A
+
B
)
.
\newline
Answer:
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In which quadrant does the point
(
−
4
,
8
)
(-4,8)
(
−
4
,
8
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
1
,
3
)
(1,3)
(
1
,
3
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
−
3
,
6
)
(-3,6)
(
−
3
,
6
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
−
3
,
4
)
(-3,4)
(
−
3
,
4
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
2
,
−
6
)
(2,-6)
(
2
,
−
6
)
lie?
\newline
1
1
1
st Quadrant
\newline
2
2
2
nd Quadrant
\newline
3
3
3
rd Quadrant
\newline
4
4
4
th Quadrant
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In which quadrant does the point
(
8
,
7
)
(8,7)
(
8
,
7
)
lie?
\newline
Quadrant I
\newline
Quadrant II
\newline
Quadrant III
\newline
Quadrant IV
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In which quadrant does the point
(
−
5
,
3
)
(-5,3)
(
−
5
,
3
)
lie?
\newline
1
1
1
st Quadrant
\newline
2
2
2
nd Quadrant
\newline
3
3
3
rd Quadrant
\newline
4
4
4
th Quadrant
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In which quadrant does the point
(
−
4
,
4
)
(-4,4)
(
−
4
,
4
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
6
,
1
)
(6,1)
(
6
,
1
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
−
8
,
−
6
)
(-8,-6)
(
−
8
,
−
6
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
Get tutor help
In which quadrant does the point
(
−
8
,
−
7
)
(-8,-7)
(
−
8
,
−
7
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
Get tutor help
In which quadrant does the point
(
−
8
,
7
)
(-8,7)
(
−
8
,
7
)
lie?
\newline
Quadrant
1
1
1
\newline
Quadrant
2
2
2
\newline
Quadrant
3
3
3
\newline
Quadrant
4
4
4
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In which quadrant does the point
(
−
3
,
4
)
(-3,4)
(
−
3
,
4
)
lie?
\newline
Quadrant I
\newline
Quadrant II
\newline
Quadrant III
\newline
Quadrant IV
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{
y
≥
−
1
3
x
+
3
y
>
3
4
x
−
1
\left\{\begin{array}{l} y \geq-\frac{1}{3} x+3 \\ y>\frac{3}{4} x-1 \end{array}\right.
{
y
≥
−
3
1
x
+
3
y
>
4
3
x
−
1
\newline
Which quadrants contain the solution to this system of inequalities?
\newline
A. quadrants I, II, and IV
\newline
B. quadrants I and II
\newline
C. quadrants II and III
\newline
D. quadrants I and IV
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If the system of inequalities
\newline
y
≤
−
3
x
−
4
y \leq -3x-4
y
≤
−
3
x
−
4
and
\newline
y
≤
3
x
+
8
y \leq 3x+8
y
≤
3
x
+
8
is graphed in the
\newline
x
y
xy
x
y
-plane, which quadrant contains no solutions to the system?
\newline
Choose
1
1
1
answer:
\newline
(A) Quadrant I
\newline
(B) Quadrant II
\newline
(C) Quadrant III
\newline
(D) Quadrant IV
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