Use matrices to rotate the vector v=<-4 , 1> by 270°. Write the resulting vector in component form

Answers

Answer 1

Using rotation rules, it is found that the resulting vector is:

v = <1, 4>

When a vector in component form <x,y> is rotated by 270 degrees, the rule is:

<x, y> -> <y, -x>

That is, x and y are switched, and the signal of x changes.

In this problem, the vector is v <-4, 1>, hence:

<-4, 1> -> <1, -(-4)> -> <1,4>

Hence, <1,4> is the resulting vector.

A similar problem is given at https://brainly.com/question/12673036


Related Questions

Which expressions are equivalent to - 8z +(-5.5) + 1.5z + 3y - 2.5?
Select all that apply.
A. -8 + 3y +6.52
ОВ. Зу- 8 - 6.5z
C.-6.52 + 3y - 8
D. -8 + 3y + (-6.52)
E. 3y + (-6.52) -5.5

Answers

Answer:

B

Step-by-step explanation:

-8z - 5.5 + 1.5z + 3y - 2.5

-6.5z + 3y - 8

The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?


I need help so I can turn in my Packet?!?!?

Answers

Answer:

3/2 minutes or 1.5 minutes

Step-by-step explanation:

We want to know when the two following equations will be equal, so we can set them equal to each other

(x = time passed)

Falcon

\/

8x = 4x + 6

         /\

   Batman

8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2

We can also graph it, see attatched

Have a nice day! - also, lol, the different car names

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

find the measure of each angle indicated

Answers

Answer:

91°

Step-by-step explanation:

The angles are consecutive interior angles (CIA) which add up to 180°.

180 - 89 = 91

A rectangular container of length 40cm and width 36cm was filled with 57600cm cubic of water.find the depth of the water in the container


Answers

Answer:

40

Step-by-step explanation:

PLS HELPP!! The table shows the progress of Carson and Jayden as they each read books. Carson Jayden Pages Minutes Pages Minutes 8 6 6 97 16 11.5 12 18 20 20 30 What TWO statements are TRUE?​

Answers

Answer:

Step-by-step explanation:

Alr guys I need a refreser on long division because my little sister needs help with it (Help :') )

Answers

Answer:

116 remainder 1

116 1/3

116.333

Step-by-step explanation:

Answer:

116 with a remainder of 1

Step-by-step explanation:

Picture below shows step by step work

Hopefully this helps!

Brainliest please?

1 dm = _______ cm what answer of this

Answers

Answer:

1dm = 10cm

Simple as it is

Answer:

The term “Deci” means one-tenth, and therefore decimetre means one-tenth of a meter. Since a meter is made up of 100 cm, one-tenth of 100 cm is 10 cm. Thus one decimeter measures 10 cm.

Step-by-step explanation:

hope it's help!

#letusstudy

#Staysafe!

#brainly

A backback originally costs $35 it is on sale for $22.75 find the percent of decrese

Answers

Answer $12.25

Step-by-step explanation: edmentum

A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?

The jar contains ___nickels and ___ dimes.

Answers

ANSWER

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

2. Three vertices of a parallelogram are
given as coordinates (-4, 2), (-2, 4), and
(1, -3) in the graph. Which coordinates
best represent the location of the fourth
vertex of the parallelogram?
o
F. (3, 1)
G. (3, -1)
H. (1, -3)
1. (-1,3
HELPP MEEE PLSSS

Answers

Answer:

I think g would be correct

HELLLLLLLLPPPPPPPPPPPPP​

Answers

Answer:

C

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

simplify: -4(x - 6) + 3(a - 7)

A. -4x + 3a - 3
B. -4x + 3a + 3
C. -4x + 3a + 45
D. -4x + 3a - 45 ​

Answers

We have -4(x - 6) + 3(a - 7) = -4x + 24 + 3a - 21 = -4a + 3a + 3

so the answer is B

ok done. Thank to me :>

Solve for b.

8b−1=24b+4


Enter your answer in the box.

Answers

Answer:

b=-5/16

Step-by-step explanation:

-5/16.

Work:
8b-1=24b+4
8b-1+1-24b=24b+4+1-24b (add 1 to both sides)
8b-24b-1+1=24b-24b+4+1 (subtract 24 to both sides)
-16y=6 (divide)
y=-16/5

what are all the square numbers that are greater than 10 but less then 40

Answers

Answer:

16, 25, 36

Step-by-step explanation:

4^2 = 165^2 = 256^2 = 36

How many solutions does this equation have? -3s + 10 = 7s​

Answers

1

Step-by-step explanation:

Find the measure of the exterior angle.

Answers

Answer:

125

Step-by-step explanation:

75 + 50

Twenty five less than two times x is equal to 6

Answers

25(insert the less than sign here)2x=6

Index and laws

evaluate
A) 55^0
B)100^1

Answers

Answer:

Step-by-step explanation:

Hey there!

so answer for (A is 1)

Answer for (B is 100)

Thank you have fun!

Answer:

Step-by-step explanation:

a) [tex]55^{0} = 1[/tex]

Anything raised to power 0 is 1

[tex]b) 100^{1} =100[/tex]

A store is selling a tv that costs $355 for $15% off. How much is the tv.

Answers

Answer:

301.75$

Step-by-step explanation:

have a good day

25 points! I really need some help.

Answers

Answer:

c ≤  4 1/3  

Step-by-step explanation:

10.25 + 2.25c ≤ 20    solve the equation if there was an = in the equation

10.25 + 2.25c = 20

-10.25            = -10.25

          2.25c = 9.75

                   c = 9.75 ÷2.25

                    c = 4.3333

                       [tex]c = 4\frac{1}{3}[/tex]

Now replace the ≤ into the equation:  

c ≤  4 1/3        

the 120 grams powdered milk make 12 cups of milk. how many kilograms of powdered milk can produce 60 cups of milk. how many liters is 60 cups of milk?

Answers

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

the length of a cuboid is 3 times of it's height and it's breadth is 2 times it's height if the volume of the cuboid is 48000cm cube, calculate it's dimensions​

Answers

Answer:

The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.

Step-by-step explanation:

Let,

The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.

Now, substuting all the given values in the formula to find the value of x.

[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]

➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height

[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]

Hence, the value of x is 20.

Now, we know the value of x. So, calculating the dimensions of cuboid :

Length = 3x

➝ 3 × 20➝ 60 cm

Breadth = 2x

➝ 2 × 20➝ 40 cm

Height = x

➝ 1 × 20➝ 20 cm

[tex]\rule{300}{2.5}[/tex]

Does the point (2, 5) satisfy the equation y = x + 3?
yes
no

Answers

Answer:

YES

Step-by-step explanation:

You just need to plug in the numbers

x=2

y=5

5=2+3

5=5

So it is yes.

A high school athlete runs 1.00 ✕ 102 m in 13.65 s.
What is the velocity in m/s

What is the velocity in km/h?

Answers

answe:

102/13.65= 7.47m/s

then multoply by 3600 to get per hour

26.9 km/h

Find five rational numbers between ⅗ and ⅘.

Answers

Answer:

2/3, 3/4, 7/10, 11/17, 13/17

Step-by-step explanation:

2/3,3/4,7/10,11/17, 13/17

Solve for x: 2(7x – 6) = 30

Answers

Answer:

X=3

Step-by-step explanation:

2 times 7x = 14x

2 times -6 = -12

14x-12=30

(+12)

14x=42

(÷14)

X=3

answer and please show the work.​

Answers

Answer:

[tex]y=\displaystyle\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (4,-1) and (0,3)

[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into  [tex]y=mx+b[/tex] :

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.

[tex]y=\displaystyle\frac{1}{2} x-3[/tex]

I hope this helps!

Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9

Answers

Answer: x> or equal to -5

Step-by-step explanation:

5x – 6 – 8x ≤ 9

Combine the lioe numbers

-3x-6≤ 9

+6 to both sides

-3x≤ 15

Divide by a -3 to both sides

X>or equal to -5

Hope that helps

Tn=n²−n+4

whtatagtaatta

Answers

Answer:

T=n-1+4/n

n=(n^2-n+4)/T

Step-by-step explanation:

T=n-1+4/n

n=(n^2-n+4)/T

convert into precent...
convert 0.(6) as a precent the parenthesis mean something

Answers

Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

60% but usually if something is in parentheses it’s multiplication so it could be 36% aswell
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