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Math Problems
Geometry
Sine and cosine of complementary angles
3
3
3
.
4
4
4
Find the general solution in each of the following
\newline
\begin{align*}\(\newline&3.4.1, &3\sin \theta=2\cos \theta,(\newline\)&3.4.2, &2\sin^{2}y-3\cos y=4
\newline
\end{align*}\)
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Calculate the following:
\newline
8
+
3
×
2
=
10
−
6
÷
2
=
\begin{array}{l} 8+3 \times 2= \\ 10-6 \div 2= \end{array}
8
+
3
×
2
=
10
−
6
÷
2
=
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8
8
8
. Find the product.
\newline
98.6
×
2.3
226.49
\begin{array}{l} 98.6 \times 2.3 \\ 226.49 \end{array}
98.6
×
2.3
226.49
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Solve the equation to find
z
z
z
.
\newline
−
30
−
4
z
=
72
−
2
z
z
=
\begin{aligned} -30-4 z & =72-2 z \\ z & = \end{aligned}
−
30
−
4
z
z
=
72
−
2
z
=
\newline
Submit
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Fungsi
f
:
x
→
4
x
−
2
f: x \rightarrow 4x-2
f
:
x
→
4
x
−
2
,
x
=
{
−
1
,
0
,
1
,
2
,
3
}
x = \{ -1, 0, 1, 2, 3 \}
x
=
{
−
1
,
0
,
1
,
2
,
3
}
Daerah hasil fungsi
f
f
f
adalah ....
\newline
a
.
{
2
,
−
2
,
2
,
6
,
10
}
a. \{2, -2, 2, 6, 10\}
a
.
{
2
,
−
2
,
2
,
6
,
10
}
\newline
b
.
{
−
6
,
−
2
,
2
,
6
,
10
}
b. \{-6,-2, 2, 6, 10\}
b
.
{
−
6
,
−
2
,
2
,
6
,
10
}
\newline
c
.
{
−
6
,
−
2
,
−
7
,
−
8
,
10
}
c. \{-6, -2, -7, -8, 10\}
c
.
{
−
6
,
−
2
,
−
7
,
−
8
,
10
}
\newline
d
.
{
2
,
−
2
,
−
4
,
−
3
,
10
}
d. \{2, -2, -4, -3, 10\}
d
.
{
2
,
−
2
,
−
4
,
−
3
,
10
}
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FLUENCY AND SKILLS PRACTICE
\newline
Name:
\newline
LESSON
15
15
15
\newline
Expanding Expressions
\newline
- Expand each expression. Combine like terms where possible.
\newline
14
(
x
−
2
)
14(x-2)
14
(
x
−
2
)
\newline
2
−
3
(
x
+
7
)
2-3(x+7)
2
−
3
(
x
+
7
)
\newline
3
−
4
(
−
x
−
8
)
3-4(-x-8)
3
−
4
(
−
x
−
8
)
\newline
4
1
3
(
x
−
9
)
4 \frac{1}{3}(x-9)
4
3
1
(
x
−
9
)
\newline
5
−
1
4
(
x
+
16
)
5-\frac{1}{4}(x+16)
5
−
4
1
(
x
+
16
)
\newline
6
−
1
5
(
−
x
−
35
)
6-\frac{1}{5}(-x-35)
6
−
5
1
(
−
x
−
35
)
\newline
7
2
3
(
x
+
18
−
2
x
)
7 \frac{2}{3}(x+18-2 x)
7
3
2
(
x
+
18
−
2
x
)
\newline
8
3
4
(
16
x
−
27
−
1
)
8 \frac{3}{4}(16 x-27-1)
8
4
3
(
16
x
−
27
−
1
)
\newline
9
−
12
(
5
6
x
−
5
)
+
2
x
9-12\left(\frac{5}{6} x-5\right)+2 x
9
−
12
(
6
5
x
−
5
)
+
2
x
\newline
\qquad
\newline
\qquad
\newline
\qquad
\newline
> Determine which expressions, if any, are equivalent. Show your work.
2
−
3
(
x
+
7
)
2-3(x+7)
2
−
3
(
x
+
7
)
2
2
2
\newline
6
x
−
2
(
x
−
3
)
x
+
3
(
x
−
2
)
−
6
6 x-2(x-3) \quad x+3(x-2)-6
6
x
−
2
(
x
−
3
)
x
+
3
(
x
−
2
)
−
6
\newline
caminulum Asactates LiC copying permetted for dossioon use.
\newline
GRADE
7
7
7
+ Lesson is
\newline
Page
1
1
1
ot
2
2
2
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2
x
−
1
−
5
3
x
−
2
\frac{2}{x}-1 - \frac{5}{3x}-2
x
2
−
1
−
3
x
5
−
2
Get tutor help
NAME
\newline
H-Math
7
7
7
- Unit
5
5
5
Lesson
1
1
1
\newline
1
1
1
. Solve:
{
y
=
6
x
4
x
+
y
=
7
\left\{\begin{array}{c}y=6 x \\ 4 x+y=7\end{array}\right.
{
y
=
6
x
4
x
+
y
=
7
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R.
3
3
3
Solve a triangle REQ
\newline
Solve the triangle.
\newline
Write each answer as an integer or as a decimal rounded to the nearest ten
\newline
m
∠
T
=
t
=
u
=
\begin{array}{r} m \angle T= \\ t= \\ u= \end{array}
m
∠
T
=
t
=
u
=
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4
4
4
. List the members of the intersection
\newline
(i)
{
a
,
b
,
c
}
,
{
b
}
\{a, b, c\},\{b\}
{
a
,
b
,
c
}
,
{
b
}
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Solve for
c
c
c
.
\newline
2
c
−
2
=
4
c
=
\begin{array}{l} 2 c-2=4 \\ c= \end{array}
2
c
−
2
=
4
c
=
\newline
Submit
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24
24
24
The tables of ordered pairs represent some points on the graphs of lines
f
f
f
and
g
g
g
.
\newline
Line
f
f
f
\newline
\begin{tabular}{|c|c|}
\newline
\hline
x
x
x
&
y
y
y
\\
\newline
\hline
2
2
2
&
7
7
7
\\
\newline
\hline
4
4
4
&
10
10
10
.
5
5
5
\\
\newline
\hline
7
7
7
&
15
15
15
.
75
75
75
\\
\newline
\hline
11
11
11
&
22
22
22
.
75
75
75
\\
\newline
\hline
\newline
\end{tabular}
\newline
Line
g
g
g
\newline
\begin{tabular}{|r|r|}
\newline
\hline
x
x
x
&
y
y
y
\\
\newline
\hline
−
3
-3
−
3
&
4
4
4
\\
\newline
\hline
−
2
-2
−
2
&
0
0
0
\\
\newline
\hline
1
1
1
&
−
12
-12
−
12
\\
\newline
\hline
4
4
4
&
−
24
-24
−
24
\\
\newline
\hline
\newline
\end{tabular}
\newline
Which system of equations represents lines
f
f
f
and
g
g
g
?
\newline
F
\newline
y
=
1.75
x
+
3.5
y
=
−
4
x
−
8
\begin{array}{l} y=1.75 x+3.5 \\ y=-4 x-8 \end{array}
y
=
1.75
x
+
3.5
y
=
−
4
x
−
8
\newline
G
\newline
y
=
1.75
x
+
3.5
y
=
−
4
x
−
2
\begin{array}{l} y=1.75 x+3.5 \\ y=-4 x-2 \end{array}
y
=
1.75
x
+
3.5
y
=
−
4
x
−
2
\newline
H
\newline
y
=
3.5
x
+
1.75
y
=
−
4
x
−
8
\begin{array}{l} y=3.5 x+1.75 \\ y=-4 x-8 \end{array}
y
=
3.5
x
+
1.75
y
=
−
4
x
−
8
\newline
J
\newline
y
=
3.5
x
+
1.75
y
=
−
4
x
−
2
\begin{array}{l} y=3.5 x+1.75 \\ y=-4 x-2 \end{array}
y
=
3.5
x
+
1.75
y
=
−
4
x
−
2
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Solve for
h
h
h
.
\newline
15.3
+
1
h
=
1.3
−
1
h
h
=
\begin{array}{l} 15.3+1 h=1.3-1 h \\ h= \end{array}
15.3
+
1
h
=
1.3
−
1
h
h
=
Get tutor help
\newline
−
5
x
+
y
=
6
−
10
x
+
8
y
=
18
\begin{array}{l} -5 x+y=6 \\ -10 x+8 y=18 \end{array}
−
5
x
+
y
=
6
−
10
x
+
8
y
=
18
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3
1
2
+
4
1
4
⇒
3
+
4
=
7
−
2
2
7
+
3
1
2
⇒
2
+
3
=
5
−
4
1
8
+
6
3
4
⇒
4
+
6
=
10
\begin{array}{l} 3 \frac{1}{2}+4 \frac{1}{4} \Rightarrow 3+4=7- \\ 2 \frac{2}{7}+3 \frac{1}{2} \Rightarrow 2+3=5- \\ 4 \frac{1}{8}+6 \frac{3}{4} \Rightarrow 4+6=10 \end{array}
3
2
1
+
4
4
1
⇒
3
+
4
=
7
−
2
7
2
+
3
2
1
⇒
2
+
3
=
5
−
4
8
1
+
6
4
3
⇒
4
+
6
=
10
\newline
30
30
30
Understanding mixed numbers
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My IXL
\newline
Learning
\newline
Assess
\newline
HH.
1
1
1
Calculate mean, median, mode, and range U
2
2
2
A
\newline
What is the mean?
\newline
5
8
7
3
7
7
5
\begin{array}{lllllll}5 & 8 & 7 & 3 & 7 & 7 & 5\end{array}
5
8
7
3
7
7
5
\newline
Submit
\newline
Work it out
\newline
Not feeling ready yet? These
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Joshua sponsored a fundraiser that
708
708
708
people attended. He raised
$
8
,
640
\$ 8,640
$8
,
640
. He charged
$
15
\$ 15
$15
for balcony seats and
$
10
\$ 10
$10
for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?
\newline
15
b
+
10
g
=
8
,
640
b
+
g
=
708
\begin{array}{c} 15 b+10 g=8,640 \\ b+g=708 \end{array}
15
b
+
10
g
=
8
,
640
b
+
g
=
708
\newline
[?] balcony seats [ ] ground seats
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Solve for
x
,
y
x, y
x
,
y
, and
z
z
z
\newline
x
+
6
y
−
z
=
−
5
−
2
x
−
5
y
+
2
z
=
3
x
−
4
5
y
+
z
=
19
5
\begin{array}{l} x+6 y-z=-5 \\ -2 x-5 y+2 z=3 \\ x-\frac{4}{5} y+z=\frac{19}{5} \end{array}
x
+
6
y
−
z
=
−
5
−
2
x
−
5
y
+
2
z
=
3
x
−
5
4
y
+
z
=
5
19
Get tutor help
Solve the system.
\newline
x
+
6
y
−
z
=
−
5
−
2
x
−
5
y
+
2
z
=
3
x
−
4
5
y
+
z
=
19
5
\begin{array}{rr} x+6 y-z= & -5 \\ -2 x-5 y+2 z= & 3 \\ x-\frac{4}{5} y+z= & \frac{19}{5} \end{array}
x
+
6
y
−
z
=
−
2
x
−
5
y
+
2
z
=
x
−
5
4
y
+
z
=
−
5
3
5
19
Get tutor help
The homework for English class was to write a poem. The teacher wants to ask
4
4
4
students,
2
2
2
boys and
2
2
2
girls, to read their poems for the class. If there are
10
10
10
boys and
15
15
15
girls, how many different combinations of
2
2
2
boys and
2
2
2
girls can the teacher select?
\newline
[
(
2
10
)
⋅
(
2
15
)
(
4
25
)
]
\left[\frac{\binom{2}{10}\cdot\binom{2}{15}}{\binom{4}{25}}\right]
[
(
25
4
)
(
10
2
)
⋅
(
15
2
)
]
,
2
!
⋅
2
!
10
!
⋅
8
!
⋅
2
×
18
!
18
!
⋅
25
!
⋅
24
!
⋅
21
⋅
20
12
!
⋅
4
!
\frac{2!\cdot 2!}{10!\cdot 8!}\cdot\frac{2\times}{18!18!}\cdot\frac{25!\cdot 24!\cdot 21\cdot 20}{12!\cdot 4!}
10
!
⋅
8
!
2
!
⋅
2
!
⋅
18
!
18
!
2
×
⋅
12
!
⋅
4
!
25
!
⋅
24
!
⋅
21
⋅
20
Get tutor help
4
4
4
) The homework for English class was to write a poem. The teacher wants to ask
4
4
4
students,
2
2
2
boys and
2
2
2
sirls, to read their poems for the class. If there are
10
10
10
boys and
15
15
15
girls, how many different combinations of
2
2
2
boys and
2
2
2
girls can the teacher select?
\newline
c
(
2
,
10
)
⋅
c
(
2
−
15
)
c
(
4
,
25
)
2
!
2
!
10
!
⋅
8
!
⋅
2
!
18
!
12
!
⋅
25
!
⋅
24
⋅
33
⋅
22
1254
!
\begin{array}{l} \frac{c(2,10) \cdot c(2-15)}{c(4,25)} \\ 2 ! \quad \frac{2 !}{10 ! \cdot 8 !} \cdot \frac{2 !}{18 ! 12 !} \cdot \frac{25 ! \cdot 24 \cdot 33 \cdot 22}{1254 !} \end{array}
c
(
4
,
25
)
c
(
2
,
10
)
⋅
c
(
2
−
15
)
2
!
10
!
⋅
8
!
2
!
⋅
18
!
12
!
2
!
⋅
1254
!
25
!
⋅
24
⋅
33
⋅
22
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Utilizar la calculadora gráfica de ALEKS para resolver el sistema de ecuaciones.
\newline
{
0.7
x
−
y
=
4.22
5
−
0.8
x
=
0.2
y
\begin{cases} 0.7x-y=4.22 \ 5-0.8x=0.2y \end{cases}
{
0.7
x
−
y
=
4.22
5
−
0.8
x
=
0.2
y
\newline
Redondear a la centésima más cercana.
\newline
(
x
,
y
)
=
(
□
,
□
)
(x,y)=(\Box,\Box)
(
x
,
y
)
=
(
□
,
□
)
Get tutor help
k Genetics_Punnett Squares Pro
x
x
x
\newline
Earth day poster design - Goor
\newline
recycle-Google
\newline
凡
\newline
÷
−
\div-
÷
−
\newline
www-awu.aleks.com/alekscgi/x/Isl.exe/
10
10
10
\newline
U-IgNsIkr
7
7
7
j
8
8
8
P
3
3
3
jH-IQ-WKpxO
\newline
Sistemas lineales
\newline
Usar una calculadora gráfica para resolver un sistema de ecuaciones...
\newline
Utilizar la calculadora gráfica de ALEKS para resolver el sistema de ecuaciones.
\newline
0.7
x
−
y
=
4.22
5
−
0.8
x
=
0.2
y
\begin{array}{l} 0.7 x-y=4.22 \\ 5-0.8 x=0.2 y \end{array}
0.7
x
−
y
=
4.22
5
−
0.8
x
=
0.2
y
\newline
Redondear a la centésima más cercana.
\newline
(
x
,
y
)
=
(
□
,
□
)
(x, y)=(\square, \square)
(
x
,
y
)
=
(
□
,
□
)
Get tutor help
Sistemas lineales
\newline
Usar una calculadora gráfica para resolver un sistema de ecuaciones...
\newline
Utilizar la calculadora gráfica de ALEKS para resolver el sistema de ecuaciones.
\newline
0.75
x
−
y
=
−
2.1
0.6
y
=
2.4
x
+
9
\begin{array}{l} 0.75 x-y=-2.1 \\ 0.6 y=2.4 x+9 \end{array}
0.75
x
−
y
=
−
2.1
0.6
y
=
2.4
x
+
9
\newline
Redondear a la centésima más cercana.
\newline
(
x
,
y
)
=
(
⟦
]
,
□
)
(x, y)=(\llbracket \boxed{]}, \square)
(
x
,
y
)
=
(
[
[
]
,
□
)
Get tutor help
Solve the system.
\newline
{
x
+
3
y
−
z
=
−
6
−
2
x
−
y
+
z
=
10
x
−
y
+
3
z
=
2
\begin{cases} x+3y-z&=-6 \ -2x-y+z&=10 \ x-y+3z&=2 \end{cases}
{
x
+
3
y
−
z
=
−
6
−
2
x
−
y
+
z
=
10
x
−
y
+
3
z
=
2
Get tutor help
Complete the Area Model that would be used to multiply
\newline
3
x
(
x
2
+
4
x
+
5
)
3x(x^{2}+4x+5)
3
x
(
x
2
+
4
x
+
5
)
\newline
by dragging the responses to the correct location.
\newline
Some parts have already been filled out for you.
\newline
3
x
3
3x^{3}
3
x
3
\newline
3
x
2
3x^{2}
3
x
2
\newline
x
2
x^{2}
x
2
\newline
x
x
x
\newline
4
x
4x
4
x
\newline
4
4
4
\newline
15
x
15x
15
x
\newline
15
15
15
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HOW DO YOU SEE IT? The edge length
s
s
s
of a cube is an irrational number, the surface area is an irrational number, and the volume is a rational number. Which could be
s
s
s
?
\newline
2
3
\frac{2}{3}
3
2
\newline
π
\pi
π
\newline
2
\sqrt{2}
2
\newline
2
3
\sqrt[3]{2}
3
2
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For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
\newline
4
x
−
1
,
3
x
−
1
,
2
x
−
1
,
..
4 x-1, \quad 3 x-1, \quad 2 x-1, \quad \text {.. }
4
x
−
1
,
3
x
−
1
,
2
x
−
1
,
..
\newline
1
1
1
\newline
−
x
-x
−
x
\newline
x
x
x
\newline
−
1
-1
−
1
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For the following sequence determine the common difference (if it is an arithmetic sequence) or the common ratio (if it is a geometric sequence).
\newline
7
,
−
35
,
175
,
…
7,-35,175, \ldots
7
,
−
35
,
175
,
…
\newline
−
5
-5
−
5
\newline
−
42
-42
−
42
\newline
−
1
5
-\frac{1}{5}
−
5
1
\newline
42
42
42
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Solve the sinstem:
\newline
{
x
+
6
y
=
17
−
x
+
3
y
=
−
8
\begin{cases} x+6y=17 \ -x+3y=-8 \end{cases}
{
x
+
6
y
=
17
−
x
+
3
y
=
−
8
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Solve the system:
\newline
x
+
6
y
=
17
−
x
+
3
y
=
−
8
\begin{array}{c} x+6 y=17 \\ -x+3 y=-8 \end{array}
x
+
6
y
=
17
−
x
+
3
y
=
−
8
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Click and drag like terms onto each other to simplify fully.
\newline
−
1
−
4
y
3
−
2
x
3
+
5
x
+
2
−
7
−
x
3
-1-4 y^{3}-2 x^{3}+5 x+2-7-x^{3}
−
1
−
4
y
3
−
2
x
3
+
5
x
+
2
−
7
−
x
3
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Click and drag like terms onto each other to simplify fully.
\newline
1
−
6
y
+
5
+
6
x
−
5
x
+
4
1-6 y+5+6 x-5 x+4
1
−
6
y
+
5
+
6
x
−
5
x
+
4
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Jack, Tom, Beth, and Ruth each have a number of marbles. Jack has
10
10
10
marbles, the least, while Tom has
27
27
27
marbles, the highest. Which of the following could be the average of the number of marbles present with all of them, given that no two of them has the same number of marbles?
\newline
A
)
$
13
A)\ \$13
A
)
$13
\newline
B
)
$
17
B)\ \$17
B
)
$17
\newline
C
)
$
23
C)\ \$23
C
)
$23
\newline
D
)
$
26
D)\ \$26
D
)
$26
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In an election between two candidates Joseph and Judith,
60
%
60\%
60%
of the total number of voters did not vote for Joseph and
50
%
50\%
50%
of the total number of voters did not vote for Judith. If it is known that each voter can vote for only one candidate, what percentage of voters did not cast their votes? [With calculator]
\newline
(A)
5
5
5
\newline
(B)
10
10
10
\newline
(C)
20
20
20
\newline
(D)
30
30
30
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Factor
28
+
56
t
+
28
w
28+56 t+28 w
28
+
56
t
+
28
w
to identify the equivalent expressions.
\newline
Choose
2
2
2
answers:
\newline
A
2
(
56
+
112
t
+
56
w
)
2(56+112 t+56 w)
2
(
56
+
112
t
+
56
w
)
\newline
B
28
(
1
+
2
t
+
w
)
28(1+2 t+w)
28
(
1
+
2
t
+
w
)
\newline
c
4
(
7
+
13
t
+
7
w
)
4(7+13 t+7 w)
4
(
7
+
13
t
+
7
w
)
\newline
D
7
(
4
+
8
t
+
4
w
)
7(4+8 t+4 w)
7
(
4
+
8
t
+
4
w
)
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Which is equal to
sin
7
5
∘
\sin 75^\circ
sin
7
5
∘
?
\newline
Choices:
\newline
(A)
cos
2
5
∘
\cos 25^\circ
cos
2
5
∘
\newline
(B)
cos
1
5
∘
\cos 15^\circ
cos
1
5
∘
\newline
(C)
sin
2
5
∘
\sin 25^\circ
sin
2
5
∘
\newline
(D)
sin
1
5
∘
\sin 15^\circ
sin
1
5
∘
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