What is the component form of the vector represented by 2a when a⃗ =〈−2,3〉?

2a = <__,___>

Answers

Answer 1

Answer:

[tex]\vec v = 2\cdot \vec a = \langle -4,6 \rangle[/tex]

Step-by-step explanation:

Let [tex]\vec a = \langle -2, 3 \rangle[/tex], we need to determine [tex]\vec v = 2\cdot \vec a[/tex], which can be found by applying the following property:

[tex]\alpha \cdot \langle x,y \rangle = \langle \alpha \cdot x, \alpha \cdot y\rangle[/tex], [tex]\forall \,\alpha,x,y\in \mathbb{R}[/tex] (1)

Then,

[tex]\vec v = 2\cdot \langle -2,3 \rangle[/tex]

[tex]\vec v = \langle -4,6 \rangle[/tex]


Related Questions

An item is regularly priced at $40 it is on sale for 60% off the regular price how much in dollars is discounted from the regular price

Answers

Answer:

$24 and $16

Step-by-step explanation:

well let’s go through this step by step.

we have $40 which is the regular price, but not only do you want to find what 60% of 40 is, but you want to find out how big the difference is between the 2, in dollars. But i believe we can do that.

So let’s just think. Do you know how to get a percent of something? If so, ignore this next part.  If not, all you want to do is take 40 x 0.60. or whatever number you need. if it’s out of 100, that’s what you would do.

So now that we know how to get a percent of something, let’s find 60% of 40.

40 x 0.60 gives us 24, or in this case it’d be $24.

Great! we found the discount! now all we need to do is find out the difference.

All we need to do from here is take 40 - 24. what is 40 - 24?

16!

Now you’re done! the discount brings it down to $24 and the difference between the starting price and the discount price is 16 dollars.

i hope this was able to help you!

which value of x satisfies the equation below? 4x-7+25

Answers

Answer: =4x+18

Step-by-step explanation:

Let's simplify step-by-step.

4x−7+25

=4x+−7+25

Combine Like Terms:

=4x+−7+25

=(4x)+(−7+25)

=4x+18

Answer:

=4x+18

If p = 15, what is p ÷ 5 - 2?

Answers

Answer:

1

Step-by-step explanation:

p ÷ 5 - 2, If p = 15

15/5 - 2

(15/5=3)

3 - 2 = 1

1 is the answer

Simplify: -5(3c-9) – 9c – 7c2 +5
What’s the answer?

Answers

Answer:

ANSWER: [tex]-7c^{2} -24c+50[/tex]

Step-by-step explanation:

90 centimeters tall when 2 years old 100 centimeters tall when 5 do the number of centimeters and the number of years have a proportional relationship?

Answers

Answer:

10

Step-by-step explanation:

Usually you need more data to be sure but based on those two points it would be 10cm every 3 years.

I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !

Answers

Answer: 3, 37

Step-by-step explanation:

Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.

solve this problem plss
-2 x < 12

Answers

Answer:

x<14

Step-by-step explanation:

AC =
Round your answer to the nearest hundredth.

Answers

Answer:

the answer is 1.88 using cosine =adj/hyp

Simplify 5g + h - 3h + 2g

Answers

Answer:

7g-2h

Step-by-step explanation:

5g+2g+h-34 = 7g-2h

if x = 7, then 7 = x is an example of which property

Answers

Answer/Step-by-step explanation:

What do you mean by property?

I will guess for now, but if it is not right I will update it.

It would be the associative property since you are flipping the equation around.

Hope this helps :)

How to solve the equation: -2(-3x-4)=14​

Answers

Answer:

1

Step-by-step explanation:

-2(-3x-4)=14

6x + 8 = 14

6x= 14-8

6x=6

x=1

please help asap!!!!

Answers

Answer:

391.5

Step-by-step explanation:

Find the area of all the sides.

Triangles area: 9 X 10=90 because there are 2 so you don't need to divide by 2

Rectangles area: (9X10)X2= 180 because there is 2

Another rectangle area 13.5 X 9= 121.5

Add all:   90+180+121.5

Answer 391.5

A chess club plans to sell water bottles to raise $425
they already have $175
if they sell water bottles for $8 each, at least how many bottles do they need to sell in order raise enough money
which inequality represents the situation

Answers

Answer:

31

Step-by-step explanation:

I rounded it down thats it

The equality for this equation is

175 + 8b >/=  425

B = number of bottles required to sell. Now, I don't want to give you the answer but I can assist you in easily finding it. Subtract 175 from both sides

8b >/= 250

Now, divide at from both sides and remove the greater than mark which should mean that in the end it should look like it says

**edited** I mean divide 8 from both sides.

b = ?  

That is the number of bottles they must sell, if it is a decimal, round it up because there is no such thing as a decimal number for selling water bottles.

How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.

Answers

Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.

-----------------------------------------

Here's how we can find the line of reflection.

Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A

Repeat this process to form a segment from S to S'. Mark the midpoint as point B.

The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.

Refer to the diagram below.

Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3

Answers

Answer:

[tex]a = 3[/tex]

[tex]b = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question

Required

Identify a and b

The given equation is an exponential function and the general form is:

[tex]f(x) = ab^x[/tex]

When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]

We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]

Riya looks at the temperature in the kitchen. What is the temperature in the kitchen to the nearest division

Answers

Answer:

24 degree Celsius

Step-by-step explanation:

Temperature may be defined as the intensity or the degree of heat that is present in any substance or present in the environment. It is the measure of hotness or coldness of any item or surroundings. Temperature is measured with the help of a comparative scale which shows the how hot or cold the place is or item is.

In the context, Riya uses a comparative scale like the thermometer to measure the temperature of the kitchen. The mercury level on the scale rises and stops at a point indicating the temperature of the kitchen.

Thus the temperature of the kitchen according to the scale is [tex]$24 ^ \circ C$[/tex].

In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter

Answers

Answer:

The answer is "2(12x+17)"

Step-by-step explanation:

The formula of the perimeter:

[tex]\to \bold{P=xy+yz+xz}[/tex]

       [tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]

what complex numbers graph is shown?​

Answers

Answer:

D.

Step-by-step explanation:

Took the test

In January, Mr Tan's students read 20 books. In Febuary, they read 15 books. What is the percent increase or decrease in the number of books they read?

A. 5% decrease
B. 15% increase
C. 25% increase
D. 25% decrease​

Answers

25% decrease because if you multiply 20x.25 you get 5 and you minus the 5 from 20 books and you get 15 books

if + means × and - means ÷ and × means + and ÷ means - find 6÷8-2+5×20=​

Answers

Answer: C. 6

Step-by-step explanation:

Rephrase the expression

6÷8-2+5×20

6-8÷2×5+20

Do division

6-4×5+20

Do multiplication

6-20+20

Do subtraction

-14+20

Do addition

6

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(C) 6

Step-by-step explanation:

Have a great day

4. Communicate Precisely When you graph a quadratic function, the
y-intercept appears to be 1, and the x-intercepts appear to be -4 and 2.5.
Which values represent the solution(s) to the related equation of the
function? How can you check? Explain

Answers

Answer:

solo respondo esto por los puntos

HELP need more help giving brainless and 15 points

Answers

Answer:

c

Step-by-step explanation:

1 1/2 x1 1/2 x1 =2 and 1/4

2 and 1/4 x 8=18

Matt has 3 different colored T-shirts and 2 different colored shorts

How many outfits can Matt make with these clothes?

Answers

Answer:

Step-by-step explanation:

3 x 2 = 6

Matt can make 6 different outfits with these clothes.

What are the Combinations?

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

Given that Matt has 3 different colored T-shirts and 2 different colored shorts.

Matt can make 3 x 2 = 6 different outfits with these clothes.

This is because for each T-shirt color, he has 2 options for shorts, and he has 3 different T-shirt colors.

So for each T-shirt color, the number of outfit combinations is 2. And since he has 3 T-shirt colors, the total number of outfits is 3 x 2 = 6.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ5

Please answer this correctly

Answers

Answer:

Correctly

Step-by-step explanation:

Bro isn’t it turtle

68 less than 55 times a number is equal to the number(x). Please can someone tell me the value of the number(x)?

Answers

Answer:

x = 34/27 or 1 7/27

Step-by-step explanation:

55x - 68 = x

-68 = -54x

x = 68/54

How do you write 9/10 as a percentage

Answers

#To make a fraction into percentage, the easy way is to times the fraction with 100

The percentage of 9/10

9/10 × 100 = 90

#and so, the percentage of 9/10 is 90%

Answer : 90%

One month, Ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hours. Find the number of hours each person worked.

Answers

Answer/Step-by-step explanation:

Let x hours be the number of hours Issac worked

    x+6 hours be the number of hours Ruby worked

   4(x+6) hours be the number of hours Svetlana worked.

x + x + 6 + 4(x+6) = 126

x + x + 6 + 4x +24 = 126

                  6x +30 = 126

                         6x = 96

                           x = 16

Therefore, Issac worked 16 hours.

                 Ruby worked 16+6 = 22 hours

                 Svetlana worked 22 × 4 = 88 hours.

If helpful, please mark as brainliest! =)

Answer: Ruby: 22 hours, Isaac: 16 hours & Svetlana: 88 hours.

Step-by-step explanation:

Let's begin by assigning letters to represent our unknowns:

R (hours Ruby worked)

I (hours Isaac worked)

S (hours Svetlana worked)

Now let's see if we can express all three unknowns in terms of one unknown, according to the facts given in the problem:

R = I + 6 (Ruby worked 6 more hours than Isaac)

S = 4R (Svetlana worked 4 times more hours than Ruby)

We can see that we can express the hours Isaac worked in terms of Ruby:

R = I + 6, therefore, I = R - 6

Now we have all three unknowns expressed in terms of one unknown (R). Now we can write an equation to express the given sum of their worked hours (126) in terms of our expressions for one unknown (R):

R + (R - 6) + 4R =126

Now let's solve our equation for the value of R and then use our expressions for R to calculate the values for I and S:

R + R - 6 + 4R = 126

6R - 6 = 126

6R = 126 + 6

6R = 132

R = 132/6

R = 22 (hours Ruby worked)

I = R - 6

I = 22 - 6

I = 16 (hours Isaac worked)

S = 4R

S = 4(22)

S = 88 (hours Svetlana worked)

PLEASE HELP ME I WILL DO ANYTHING!!!

Answers

Answer:

x=11

Step-by-step explanation:

the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x

step 1 combine like terms

180=15x+15

step 2 subtract each side by 15

165=15x

step 3 divide each side by 15

x=11

Find the sum of 0.333......and 0.444....​

Answers

Answer:

0.777......

Step-by-step explanation:

0.333...... + 0.444....​..

= 0.777......

Hope it helps :)

Please mark my answer as the brainliest

Step-by-step explanation:

The sum of 0.333.... and 0.444... is 0.777......

Describe the shape. FOUNDATION. Help please :(

Answers

Answer:

90 degrees counterclockwise

Step-by-step explanation:

Answer:

jfmfmhhcmcmfnf. cbimvncnvnj

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