Let a = 8i + 2j, b = –3i + j, and c = 2i – 5j, where i and j are unit vectors.

What is 4a + 2b – 9c in terms of i and j?

8i – 35j
8i – 2j
8i + 53j
8i + 55j

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The value of the vector (4a + 2b – 9c) as per scaler multiplication of vector method is 8i + 55j.

What is vector?

A vector is a physical quantity that has both magnitude and direction.

What is unit vector?

A vector that has magnitude of 1 is called unit vector.

Given, a = 8i + 2j, b = –3i + j, and c = 2i – 5j.

In order to find the value of the vector (4a + 2b – 9c) in terms of i and j, we need to perform scaler multiplication of vector.

Here, i and j are unit vectors.

Therefore: (4a + 2b – 9c)

= 4(8i + 2j) + 2(–3i + j) - 9(2i – 5j)

= (32i + 8j - 6i + 2j - 18i + 45j)

= (8i + 55j)

Therefore, Option(D) is correct answer.

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Related Questions

List the set or sets to which each number belongs

Answers

Ummmmm.......you didn’t post a pic my guy

Label the parts of the graph listen item bank or some important labels for sections of the image below to find out more information about labels some have more details available when you click on them drag and drop each label to the corresponding area it identifies in the image

Answers

Answer:

The point in the middle at (0,0) is the origin. The line that goes up and down is the y-axis. The lign that goes left to right is the x axis. The y intercept is at (0,-5). The x intercept is at (6,0).

Step-by-step explanation:

The answer is attached.

What are intercepts?

The point where the line or curve crosses the axis of the graph is called intercept.

xy-axes:- The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line.

xy-intercepts:-

If a point crosses the x-axis, then it is called the x-intercept. If a point crosses the y-axis, then it is called the y-intercept.

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pleaseee help
will mark BRAINLIEST

Answers

Answer:

(2,-1) is the answer

Step-by-step explanation:

my aunt told me ::(())

Answer:

(2,-1)

Step-by-step explanation:

79 questions dang

What is the square root of 75 using imaginary numbers

Answers

Answer:

8.660254038

Step-by-step explanation:

or 5✓3

hope this helps

Two groups of students order hamburgers and hot dogs at a local restaurant. The first group orders 3 hamburgers and 4 hot dogs for a total cost of $30.33. The second group orders 3 times as many hamburgers as the first group and 5 hot dogs. The second group’s total is $63.06. What is the cost of a hamburger at this restaurant?

Answers

Answer:

3.63666666667 or about $3.64

Step-by-step explanation:

63.06 - 30.33 = 32.73(this is the price for 9 hamburgers)

32.73/9 = 3.63666666667(The price for hamburgers.)

Need help for this problem

Answers

Answer:

161 degrees

Step-by-step explanation:

corresponding angles theorem

Answer:

161

Step-by-step explanation:

if g and h are parallel, angle 4 and 161 are the same

one day less than three weeks is how many days?

Answers

Answer:

21

Step-by-step explanation:

multiply 7 by 3=

7x3=21

Please help and answer

Answers

Answer:

B) 4(6x) and 24x are equivalent.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking as Brainliest. Have a great day!

45 divided by 6x45(9-7)=?

Answers

12





....................

Answer:

337.5

Step-by-step explanation:

she uses 2/3 cup of sugar to make 1/4 sheet cake.how much sugar would she need to make a full sheet cake?​

Answers

Answer:

Answer: B 2 2/3 mark em brainliest plz

Step-by-step explanation:

2/3 + 2/3+2/3+2/3= 2.66 also 2 2/3 2/3 times 4= 2 2/3

What’s the slope,y-intercept, transformations of (-) and (2)

Answers

I can only give you the slope and y-int because I don’t know the rest anyway

The slope is -1
The y-intercept is 2

Hope this helped

32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
What are the dimensions of the rectangle?

Answers

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

Write the square root for each number

Answers

Step-by-step explanation:

7=2 8=12 10=10 11=9

Answer:

√(4) is 2

√(100) is 10

√(144) is 12

√(81) is 9

what is the slope of (7,-8) and (9,9).....

Answers

The answer is in the picture hope that helps

Answer:

(7,8) = 0,0) (−6,6)

(5,4) (−9,7)

(0,1) (1,0)

(9,9) = (0,9) (8,6)

(−5,9) (3,0)

(1,−2) (3,6)

Jose is trying to decide how many friends he can invite to his roller skating party. Skate rentals cost $2.50 per person, including Jose, and he knows that 3 adult chaperones plan to skate.

How many friends can Jose invite if he wants to spend only $50.00 total on skate rentals?Jose can invite _______ friends.

Answers

Answer:

Step-by-step explanation:

himself and three chaperones=4

4*2.50= 10.00

50.-10.= 40 left

40/2.50 rental= 16

So he has enough for 16 friends, 3 chaperones and himself.

check:

20 people *2.50= 50.00

The function h(0) = -16t2 + vt + 10 gives the height of a platform diver above the water, in feet, t seconds after

Answers

Complete Question:

The height of a diver jumping from a diving platform is about [tex]h(t)= 16t^2 +11t+10[/tex], where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec..  After how many seconds is the diver's height above the water 15 feet?

Answer:

0.3125 seconds

Step-by-step explanation:

Given

[tex]h(t)= 16t^2 +11t+10[/tex]

Required

Time when the diver is above 15ft

This implies that h(t) = 15

So, we have:

[tex]15= 16t^2 +11t+10[/tex]

Collect Like Terms

[tex]0= 16t^2 +11t+10 - 15[/tex]

[tex]0= 16t^2 +11t-5[/tex]

[tex]16t^2 +11t-5=0[/tex]

Expand:

[tex]16t^2 + 16t - 5t - 5 = 0[/tex]

Factorize:

[tex]16t(t + 1) - 5(t + 1) = 0[/tex]

[tex](16t - 5)(t + 1)=0[/tex]

Split

[tex]16t - 5 = 0[/tex] or [tex]t + 1 = 0[/tex]

[tex]16t = 5[/tex] or [tex]t + 1 = 0[/tex]

Solve for t

[tex]t = 5/16[/tex] or [tex]t = -1[/tex]

[tex]t = 0.3125[/tex] or [tex]t = -1[/tex]

But time can't be negative. So:

[tex]t = 0.3125[/tex]

Hence, it will take the diver 0.3125 seconds to be at a height above 15 feet

It will take t = 0.3125 seconds is the diver's height above the water 15 feet.

Given ,

The height of a diver jumping from a diving platform is h

 h(t) = [tex]-16t^{2} + vt + 10[/tex]

The diver's height above the water 15 feet

Velocity = v = 11 ft per second

We have to find, t seconds is the diver's height above the water 15 feet.

According to the question,

[tex]h(t) = -16t^{2} +vt+10[/tex]

Where v = 11, h(t) = 15

15 = -16[tex]t^{2}[/tex] + 11t + 10  

15 - 10 = [tex]-16t^{2} + 11t[/tex]

5 = [tex]-16t^{2} +11t[/tex]

[tex]16t^{2} -11t +5= 0[/tex]

[tex]16t^{2} -16t - 5t + 5 = 0[/tex]

16t ( t - 1 ) - 5 ( t + 1 ) = 0

(16t - 5 ) ( t + 1 ) = 0

16t - 5 = 0

16t = 5

t = [tex]\frac{5}{16}[/tex]

t = 0.3125

And t + 1 = 0

t = -1

Time can not be negative so we can't take t = -1 .

So, The required value of time is t = 0.3125

Hence, it will take t= 0.3125 seconds is the diver's height above the water 15 feet.

For the more information about Equation of motion click the link given below.

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What is X? 3x - 24 = 81

Answers

Answer:

35 would be your answer

Step-by-step explanation:

3x-24=81

So first off, add 24 to 24 and 81

You would get 3=105

Now divide 3/3 and 105/3 which will get you 35!

Hopefully this helps!

Answer: 35

Step-by-step explanation:

you add 24 to the other side of the equal sign and you get 105. then you’re left with 3x=105 and you divide 105 by 3 and get 35=x

Which equation is equivalent to 9x=5x-10
•5x = -x +3
•x - 16=18
•3x + 9 = -6
•4x = -10

Answers

9x=5x-10
-5x -5x
4x=-10

ASAP 25 POINTS WILL MARK BRAINLIEST MULTIPLE CHOICE
Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x,y)→(x−2, y)
Question 1 options:

No, the preimage will be smaller

Yes, this is a translation which doesn't change the pre-image size

No, this is a translation which will change the pre-image size

Yes, this is a reflection which doesn't change the pre-image size

Answers

Answer:

Yes, this is a translation which doesn't change the pre-image size

Step-by-step explanation:

how to i find the missing 2 angles

Answers

Answer:

therefore, x is 71 degrees

Step-by-step explanation:

we know that the exterior angle is 142 degrees.

we also know that we have to find x, which is labeled two times as an interior triangle (in the same triangle), so they must be the same degree.

there are different ways to solve this but the easiest way is this:

exterior angle = opposite interior angle 1 + opposite interior angle 2

142 degrees = x + x

142 degrees = 2x

142/2 = x

x = 71

therefore, x is 71 degrees

Gordon types 2,184 words in 28 minutes. Find the unit rate. Gordon types ________ words per minute.

Answers

Answer:

78

Step-by-step explanation:

[tex]\frac{2184 words}{28 minutes} = \frac{78 words}{1 minute}[/tex]

Answer:

It’s 78 words per minute

Step-by-step explanation:

To solve this problem do 2,184 divided by 28 this will equal 78

HELP ME FAST PLZZ!!!! I REALLY NEED HELP!!! 20 POINTS PLZ HELP

Answers

Answer:

you didnt add the options of what the drop downs were for

Step-by-step explanation:

Square PINT has vertices N(4, 2) and T(3, 8). What is the area of square PINT?

Answers

Answer: the answer is 37

Step-by-step explanation: someone said it was incorrect but it’s correct trust me my teacher gave us the answer

The area of the square PINT will be 37 square units.

What is an area of a square?

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle, and a parallelogram.

Given that Square PINT has vertices N(4, 2) and T(3, 8). The area of the square will be calculated by finding the distance between two points N(4, 2) and T(3, 8), and squaring it.

The length of the line segment bridging two points on a plane is known as the distance between the points.

Area = Distance² = ( x₂ - x₁ )² + ( y₂ - y₁ )²

Area = Distance² = ( 4 - 3 )² + ( 8 - 2 )²

Area = Distance² = (1 )² + ( 6 )²

Area = Distance² = (1 )² + ( 6 )² = 37 square units

Therefore, the area of the square PINT will be 37 square units.

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write the slope intercept form of the equation of the line that goes through the point (5,-6) and has a slope of 2

Answers

Answer:

y = 2x - 16

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): 2

Point: (5, -6)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we were given the value of the slope, the only thing we have to do is find the y-intercept. To do this, input the values of the slope and the given point into the equation and solve for b:

y = mx + b

-6 = 2(5) + b

-6 = 10 + b

-16 = b

The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

y = 2x - 16

The question I have is 17x5x8+15

Answers

Answer:

695

Step-by-step explanation:

[tex]17*5*8+15\\=17*40+15\\=680+15\\=695[/tex]

Solve. State the Inverse operation you used. 1. k X 4 = 96 | 2. b = 12 = 12 | 3. 9X n = 5.4 | 4. y X 16 = 48 | 6. 3.9 x m= 19.5 | 5. 25 = t4 8. 2+5 = 1 |7. 40 = x= 2 |10. 330 =rX 3 |9. 7.1 x t= 21.3 |11. 1-0.5 = 2 |12. 11 xg= 55
(Theres a total of 12 equations when there's a | its onto the text question)​

Answers

Answer:

hmu on sn*p and I got u kevinscoolrevi7

What is y?
And please show work!

Answers

Answer: 97 degrees

Step-by-step explanation:

I drew some letters on your attachment to make it easier for you to understand.

To find angle y you need to find angle x first, you do that by doing (180=A+B+C) and you solve for A which is x degrees (A=180-B-C)

When you use angle C you must combine the 26 degrees and 55 degrees because if you use only 55 let's say, that would be the angle for triangle CDB, and we need C for triangle ABC.

So: A=180-42-81 -> A=57 degrees

Now you know Angle A (57 degrees) and Angle ACD (26 degrees)

All you have to do to find Y is to do: y=180-x-26

So y would be: 97 degrees

Keep in mind this is one of two solution methods I can see, if you want me to show you the other one as well just tell me in the comments, you are welcome.

Evaluate x/y if f x = 14 and y=-2

Answers

Answer:

-7

Step-by-step explanation:

First, we need to substitute x in as 14 since that is what x is equal to.

1.  x / y  =>  14 / y

Next, we need to substitute y in as -2 since that is what y is equal to.

2.  14 / y  =>  14 / -2

Now to solve it;

3.  14 / -2  =>  -7

So now we now that x / y equals -7 when x = 14 and y = -2.

Feel free to give brainliest.

Have an awesome day! Happy Thanksgiving!

Pls help .............​

Answers

Answer:

Top one

Step-by-step explanation:

is the relation a function? explain ​

Answers

Answer:

Yes the input x is only used once all the first numbers are different

Step-by-step explanation:

11,7

22,7

15,8

Yes because each input only has one output

Each x has only one y
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