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Vector
A
B
undefined
\overrightarrow{A B}
A
B
has a terminal point
(
−
3
,
−
6
)
(-3,-6)
(
−
3
,
−
6
)
, an
x
x
x
component of
−
6
-6
−
6
, and a
y
y
y
component of
−
8
-8
−
8
.
\newline
Find the coordinates of the initial point,
A
A
A
.
\newline
A
=
(
□
,
□
)
A=(\square, \square)
A
=
(
□
,
□
)
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Math Problems
Algebra 2
Write equations of cosine functions using properties
Full solution
Q.
Vector
A
B
undefined
\overrightarrow{A B}
A
B
has a terminal point
(
−
3
,
−
6
)
(-3,-6)
(
−
3
,
−
6
)
, an
x
x
x
component of
−
6
-6
−
6
, and a
y
y
y
component of
−
8
-8
−
8
.
\newline
Find the coordinates of the initial point,
A
A
A
.
\newline
A
=
(
□
,
□
)
A=(\square, \square)
A
=
(
□
,
□
)
Find Initial Point A:
To find the initial point A, subtract the
x
x
x
component from the
x
x
x
coordinate of the terminal point B.
\newline
Calculation:
−
3
−
(
−
6
)
=
−
3
+
6
=
3
-3 - (-6) = -3 + 6 = 3
−
3
−
(
−
6
)
=
−
3
+
6
=
3
.
Calculate x Component:
Now, subtract the y component from the y coordinate of the terminal point B.
\newline
Calculation:
−
6
−
(
−
8
)
=
−
6
+
8
=
2
-6 - (-8) = -6 + 8 = 2
−
6
−
(
−
8
)
=
−
6
+
8
=
2
.
More problems from Write equations of cosine functions using properties
Question
Find an equation for a sinusoidal function that has period
2
π
2\pi
2
π
, amplitude
1
1
1
, and contains the point
(
π
,
−
1
)
\left(\pi, -1\right)
(
π
,
−
1
)
.
\newline
Write your answer in the form
f
(
x
)
=
A
cos
(
B
x
+
C
)
+
D
f(x)=A\cos(Bx+C)+D
f
(
x
)
=
A
cos
(
B
x
+
C
)
+
D
, where
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
are real numbers.
\newline
f
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=
f(x)=
f
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Question
Find an equation for a sinusoidal function that has period
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2
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(
−
π
2
,
−
1
)
\left(-\frac{\pi}{2},-1\right)
(
−
2
π
,
−
1
)
. Write your answer in the form
f
(
x
)
=
A
sin
(
B
x
+
C
)
+
D
f(x) = A\sin(Bx + C) + D
f
(
x
)
=
A
sin
(
B
x
+
C
)
+
D
, where
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
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Question
Find an equation for a sinusoidal function that has period
2
π
2\pi
2
π
, amplitude
1
1
1
, and contains the point
(
0
,
−
1
)
(0,-1)
(
0
,
−
1
)
.
\newline
Write your answer in the form
f
(
x
)
=
A
cos
(
B
x
+
C
)
+
D
f(x) = A\cos(Bx + C) + D
f
(
x
)
=
A
cos
(
B
x
+
C
)
+
D
, where
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
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\newline
f
(
x
)
=
f(x) =
f
(
x
)
=
_____
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Question
Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought
10
10
10
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2
2
2
cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought
3
3
3
cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class
y
y
y
in terms of the number of students
x
x
x
.
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Posted 1 year ago
Question
Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought
10
10
10
cans of food, and each student brought
2
2
2
cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought
3
3
3
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y
y
y
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x
x
x
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Question
Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is
12
12
12
feet long, and each strand of his Christmes lights will wrap around a
70
70
70
-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?
\newline
A)
6
6
6
\newline
B)
7
7
7
\newline
C)
8
8
8
\newline
D)
9
9
9
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Posted 1 year ago
Question
Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is
12
12
12
feet long, and each strand of his Christmas lights will wrap around a
70
70
70
-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?
\newline
A)
6
6
6
\newline
B)
7
7
7
\newline
C)
8
8
8
\newline
D)
9
9
9
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Posted 1 year ago
Question
For a given input value
b
b
b
, the function
f
f
f
outputs a value
a
a
a
to satisfy the following equation.
\newline
4
a
+
7
b
=
−
52
4a+7b=-52
4
a
+
7
b
=
−
52
\newline
Write a formula for
f
(
b
)
f(b)
f
(
b
)
in terms of
b
b
b
.
\newline
f
(
b
)
=
□
f(b)=\square
f
(
b
)
=
□
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Posted 10 months ago
Question
For a given input value
x
x
x
, the function
g
g
g
outputs a value
y
y
y
to satisfy the following equation.
\newline
−
4
x
−
6
=
−
5
y
+
2
-4x-6=-5y+2
−
4
x
−
6
=
−
5
y
+
2
\newline
Write a formula for
g
(
x
)
g(x)
g
(
x
)
in terms of
x
x
x
.
\newline
g
(
x
)
=
□
g(x)=\square
g
(
x
)
=
□
Get tutor help
Posted 1 year ago
Question
For a given input value
a
a
a
, the function
f
f
f
outputs a value
b
b
b
to satisfy the following equation.
\newline
−
3
a
+
6
b
=
a
+
4
b
-3a+6b=a+4b
−
3
a
+
6
b
=
a
+
4
b
\newline
Write a formula for
f
(
a
)
f(a)
f
(
a
)
in terms of
a
a
a
.
\newline
f
(
a
)
=
□
f(a)=\square
f
(
a
)
=
□
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Posted 1 year ago
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