The vector matrix [-3,-5] is rotated at different angles. Match the angles of rotation to the vector matrices they produce.

The Vector Matrix [-3,-5] Is Rotated At Different Angles. Match The Angles Of Rotation To The Vector

Answers

Answer 1

Answer: The above answer is correct.

Step-by-step explanation: I got this correct on Edmentum.

The Vector Matrix [-3,-5] Is Rotated At Different Angles. Match The Angles Of Rotation To The Vector
Answer 2

Answers

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

This exercise consist in finding the resulting Vector Matrix for each Angle of Rotation and a given Vector Matrix. The result is found by multiplying the given Vector Matrix for a Rotation Matrix, defined below as follows:

[tex]A' = R\cdot A[/tex] (1)

Where:

[tex]A[/tex] - Given vector matrix.

[tex]R[/tex] - Rotation matrix.

[tex]A'[/tex] - Resulting vector matrix.

For 2-dimension Vector Matrices, The Rotation Matrix is defined by the following entity:

[tex]R = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\\\end{array}\right][/tex] (2)

Where [tex]\theta[/tex] is the Angle of Rotation, in radians.

Let be [tex]A = \left[\begin{array}{cc}x\\y\end{array}\right][/tex], the resulting vector matrix is found by (1) and (2):

[tex]A' = \left[\begin{array}{cc}\cos \theta&-\sin \theta\\\sin \theta&\cos \theta\end{array}\right] \cdot \left[\begin{array}{cc}x\\y\end{array}\right][/tex]

[tex]A' = \left[\begin{array}{cc}x\cdot \cos \theta - y\cdot \sin \theta\\x\cdot \sin \theta +y\cdot \cos \theta \end{array}\right][/tex]

If we know that [tex]A = \left[\begin{array}{cc}-3\\-5\end{array}\right][/tex], then the resulting vector matrix for each angle is, respectively:

[tex]\theta = \frac{\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}1.414\\-5.657\end{array}\right][/tex]

[tex]\theta = \frac{\pi}{2}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex]

[tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex]

[tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex]

[tex]\theta = \frac{5\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.83\\0.098\end{array}\right][/tex]

[tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex]

Therefore, we have the following answers:

[tex]A' = \left[\begin{array}{cc}5.830\\-0.098\end{array}\right][/tex], [tex]\theta = \frac{2\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}-5.657\\-1.414\end{array}\right][/tex], [tex]\theta = \frac{7\pi}{4}[/tex]

[tex]A' = \left[\begin{array}{cc}-2.83\\5.098\end{array}\right][/tex], [tex]\theta = \frac{4\pi}{3}[/tex]

[tex]A' = \left[\begin{array}{cc}5\\-3\end{array}\right][/tex], [tex]\theta = \frac{\pi}{2}[/tex]

Related question: https://brainly.com/question/11815899


Related Questions

Please Help, what is the answer

Answers

Answer:

The correct option is (2).

Step-by-step explanation:

We need to find the value of the given expression i.e.

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]

We can calculate it as follows :

[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]

So, the final answer is x⁶. The correct option is (2).

What does it mean to evaluate?

Answers

Answer:

Evaluate means to assess or determine something.

Step-by-step explanation:

Answer:

Means to simply solve, sometimes you may need to show your thinking, depending on the question.

Step-by-step explanation:

find the term to term rules for the following sequences. 28 25 22 19 16 .​

Answers

Answer:

a) next one is previous one -3

b) next one is 3 times previous one

a) term to term rule is -3

A commuter airline makes lattes in the galley and sells them to passengers. A regular latte contains a shot of espresso, 1 cup of 2% milk, steamed, and 0.5 cup of whipped cream. The low-fat latte contains a shot of espresso, 1.25 cups of skim milk, frothed, and no whipped cream. The plane begins its journey with 100 shots of espresso, 60 cups of skim milk, 60 cups of 2% milk, and 30 cups of whipped cream. The airline makes a profit of $1.58 on each regular latte and $1.65 on each low-fat latte. Assuming that all lattes that are made can be sold, what would be the ideal mix of regular and low-fat lattes to maximize the profit for the airline?

Answers

Answer:

To maximize profit, the amount of each type of coffees made are;

The number of regular latte made = 52 cups

The number of low-fat latte made = 48 cups

Step-by-step explanation:

The given parameters are;

The number of espresso in a regular latte = 1 shot

The number of cups of 2% milk in regular latte = 1 cup

The amount of whipped cream in a regular latte = 0.5 cup

The number of cups of skim milk in the low-fat latte = 1.25 cup

The number of espresso in a low-fat latte = 1 shot

The amount of whipped cream in a low-fat latte = 0 cup

The number of cups of espresso in the journey = 100 shots

The number of cups of skim milk in the journey = 60 cups

The number of cups of 2% milk in the journey = 60 cups

The amount of profit the airline makes on each regular latte = $1.58

The amount of profit the airline makes on each low-fat latte = $1.65

Let 'x' represent the number regular lattes made and let 'y' represent the number low-fat lattes made, we have;

x ≤ 30/0.5 = 60

x ≤ 60

y ≤ 60

y ≤ 60/1.25 = 48

∴ y ≤ 48

x + y ≤ 100

Therefore, the given that more profit is made from the sale of low-fat latte than for regular latte, the maximum number of low-fat latte should be made

Therefore, the number of low-fat latte made, y = 48

Therefore, the number of regular latte made, x ≤ 100 - 48 = 52

For maximum profit, the maximum number of low-fat latte, 'x', should be made

Therefore, x = 52

The ideal mix of regular and low-fat lattes to maximize profit is 52 cups of regular latte and 48 cups of low-fat latte

13 in = ___________ ft

Answers

Answer:

1.0833333 Feet

Hope this helps! If I could have brainliest im trying to level up.

Step-by-step explanation:

13 Inches =

1.0833333 Feet

(rounded to 8 digits)

natasha has a sales job and receieves $60,440 as her annual pay plus commission. her company pays her a commision of 12% on her total sales if she makes sales of $70,000 in the first 3 months how much will she be paid for those 3 months?

Answers

Answer:

$68,840

Step-by-step explanation:

70,000*12%=8,400

8440+64,440=$68,840

Please help me if you can 10 points if you help

Answers

Answer:

C) 0%

Step-by-step explanation:

Let’s give the square sides equaling 4. The area would equal 16.

Decreasing the top by 75% would make it 1.  Increasing the bottom by 75% makes it 7.

(1+7)/2=4

The height is still four so 4x4=16

No change in area.

Solve the simultaneous equation
4x-y=9
2x-3y= -23

Answers

Answer:

x = 5

y = 11

Step-by-step explanation:

y = 4x - 9

2x -3(4x - 9) = -23

2x - 12x + 27 = -23

-10x = -23 -27

-10x = -50

minus cancels out

x = 5

y = 4(5) -9

y = 20 - 9

y = 11

PLEASE HELP 20 POINTS

SHOW ALL WORK

Answers

Answer:

Steps below

Step-by-step explanation:

8) x = y²/2           2rcosΘ = r²sin²Θ      2cosΘ = rsin²Θ

   r = 2cosΘ/sin²Θ = 2cotΘcscΘ

9) (x+2)²+y²=4     y= rsinΘ     x=rcosΘ

   (rcosΘ+2)²+y²sin²Θ = 4

   r²cos²Θ+4rcosΘ+4+y²sin²Θ=4

   r²(sin²Θ+cos²Θ)+4rcosΘ=0

   r²+4rcosΘ=0            r+4cosΘ=0

   r = - 4cosΘ

10) r = 2sinΘ         r=2* y/r           r²=2y       x²+y²=2y

     x² + (y²-2y+4) = 4          x²+(y-2)² = 4

11) r = 3tanΘsecΘ = 3* (y/x) * (r/x)

   1 =3y/x²

   x² = 3y        3y = x²

Josh build a tower using blocks that linked together. I notice that he had 36 block in 3/8 of his tower. Exactly how many blocks were in this entire tower?

A. 96
B. 60
C. 12
D. 13 1/2

Answers

I’m pretty sure it’s D but I could be wrong

Jacqueline drove 72 km on 6 L of gasoline. Which of the following equations can be used to find how far she can travel on a full tank of 50 L?

Answers

Answer:

600 km

Step-by-step explanation:

72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)

50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)

I hope this helps :)

Answer:

600

Step-by-step explanation:

took the test

pls answer I'll mark u brainliest urgent ​

Answers

Answer:

a = 110

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

A=110

that is what I think

Marta can pick 10 baskets of peaches in one hour. How long will it take her to pick 60 baskets of peaches?​

Answers

Answer:

It will take her 6 hours for her to pick 60 baskets of peaches.

Step-by-step explanation:

6 hours! 60*10=6! oldschool

In the parallelogram below,
y = [?]
5y-20
2y+25
PLEASE HELP

Answers

If I remember correctly parallelograms have two pairs of parallel lines equal to each other

So 5y-20=2y+25

Solve for y

3y=45

y=15

The answer is y=15

HEY can You help me with this work pls i need help don't put random. if u don't know it pls guys.

Answers

QUESTION 1

1️⃣Remove parentheses

6a+6+3x-2+2a+4

2️⃣Collect like terms

(6a+2a)+(6-2+4)+3x

3️⃣Simplify

8a+8+3x

Answer: 8a+8+3x

QUESTION 2

1️⃣Remove parentheses.

-2z-3+4c+6y+y+3c

2️⃣Collect like terms.

-2z-3+(4c+3c)+(6y+y)

3️⃣Simplify

-2z-3+7c+7y

Answer: -2z-3+7c+7y

QUESTION 3      

1️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)  

(2.8 - 3.2t) - (7.8 - 5.1t)  

2️⃣Remove the parentheses.  

2.8 - 3.2t - 7.8 + 5.1t  

= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)  

3️⃣Subtracting the like terms, will give:

1.9t - 5  

4️⃣Recall  

(2.8 - 3.2t) - (7.8 - 5.1t).  

(-3.2t + 2.8) - (-5.1t + 7.8)

Answer:

a. (-3.2t + 2.8) - (-5.1t + 7.8)  

b. 1.9t - 5  

c. (-3.2t + 2.8) - (-5.1t + 7.8)

QUESTION 4

1️⃣Simplify

1/2p-(1/4p-4)

2️⃣Simplify

p2-(p/4-4)

3️⃣Simplify

p2-p/4+4

4️⃣Combine Terms

(p/2-p/4)+4

5️⃣Combine Terms

p/4+4

Answer: p/4+4

Done ✔

Find the distance between the points (-3, 4) and (-3, -5).

Answers

Answer:

[tex]\displaystyle d = 9[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-3, 4)

Point (-3, -5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-3+3)^2+(-5 - 4)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                       [tex]\displaystyle d = \sqrt{(0)^2+(-9)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{81}[/tex][Distance] [√Radical] Evaluate:                                                                      [tex]\displaystyle d = 9[/tex]

Can someone help meee

Answers

Answer:

69

the measure of angle will

111 + AXB = 180

AXB = 180 - 111

AXB = 69

hope it helps

Answer:

angle AXB= 180-111=69°

Step-by-step explanation:

Can y’all please help me out?

Answers

Answer:

19.5 degrees

Step-by-step explanation:

180 - (33.5 + 127) =

180 - 160.5 =

19.5

Hope that helps!

I don’t understand I need help

Answers

Answer:

3/29

Step-by-step explanation:

area of total rectangle is 12x8 or 96 sq cm

area of shaded square is 9

96 - 9 = 87 sq cm, which is area of unshaded region

9 out of 87 is the probability of selecting a point in the shaded region, which simplifies to 3/29

Answer:

lol i see r o b l o x

Step-by-step explanation:

Rectangle = bxh

thats is 96

the we know that the square in the middle is 3x3x3x3 or 81

then subtract the two which is 15

A car la 160 inches long

A truck is 7percentage longer thanks they car​

Answers

Answer:

171.2

Step-by-step explanation:

7% x 160 = 11.2

11.2 + 160 = 171.2

If Robert buys a candy bar for 78 cents, how much
change does he get back from a one-dollar bill?
32 cents
23 cents
22 cents
33 cents

Answers

The answer will be 22 cents
22 cents.

Explanation:
One dollar is 100 cents.
Your equation would be...
100 - 78 = 22 (your change)
Subtract the amount given by the total cost to get the change.

what's the domain and range​

Answers

domain: x>0
range: -infinite

The sum of two numbers is 15 and their difference is 11.
What are the two numbers

Answers

Answer:

13 and 2

Step-by-step explanation:

x+y=15

x-y=11

2x=26

x=13

13+y=15

y=2

USE SYSTEMS OF EQUATIONS

there are 60 minutes in a hour.how many minutes are there in 24 hours

Answers

There are 1440 minutes in 1 hour

Step-by-step explanation:

Since there are 60 minutes in 1 hour multiply 60 by 24, you get 1440.

What is the value of x in the following equation? 4(x-1) = 2(x +1)

Answers

Start by multiplying to get rid of parentheses. Then use addition/subtraction to isolate x on one side of the equation. Finally, use division to determine the value of x.

difference quotient for f (x) = 2x + 3 /5x

Answers

Answer:

1 and -0.6

Step-by-step explanation:

you want your markup to be 35% of the final selling price. Your cost is $200. For what price should you sell the product
a. $235.00
b. $270.00
c. $279.00
d. $307.69​

Answers

B
Multiply 35% by 200 and get 70
Add that 70 to 200 and you’ll get B which is 270

Joel had a coin collection. He had two hundred coins,
which were dimes and quarters. The total value of his
collection was worth $32.
Remember to define your variables.
Create 2 equations
(Each equation should have a "common theme" for
example in this problem one equation will be the the
total number of coins and the other will be the total
value of the coins)
The next step is to solve the problem. Remember to
think of the best method for problem solving

Answers

Answer:

Joel's coin collection had 120 dimes and 80 quarters.

Step-by-step explanation:

Given that Joel had a coin collection of two hundred coins, which were dimes and quarters, and the total value was worth $32, to determine how many coins of each type he had, the following equations must be performed:

0.25 - 0.10 = 0.15

200 x 0.10 = 20

32 - 20 = 12

12 / 0.15 = 80

200 - 80 = 120

(80 x 0.25) + (120 x 0.1) = X

20 + 12 = X

32 = X

Therefore, Joel's coin collection had 120 dimes and 80 quarters.

Target buys pants for $6.42 and marks up the price for customers by 70%. How much do they sell pants for?

0.7\left(6.42\right)=\$4.490.7(6.42)=$4.49

$4.49 is not the correct answer. What is the mistake? Explain.

Answers

To find the answer do the following

$6.42*.70=$4.49 this is the mark up

Now $6.42+$4.49=$10.91 for the sales price

So Target sells the plants for $10.91 to their customers.

You just forgot to add the initial price to the mark-up

Hope it helps.

How many fluid ounces are in 4 quarts?

A. 16 fl. oz
B. 32 fl. oz
C. 64 fl. oz
D. 128 fl. oz

Answers

Answer:

D: 128 fl. oz

Step-by-step explanation:

1 quart is 32, to multiply by 4. :D

Answer:

hi your ans is d hope it helps please give brainliest

Step-by-step explanation:

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