2. Find the vector equations of the following lines:

a. A=(6,5,7),m=2i+5j–k
b. A=(8,6,2),B=(3,4,1)

Answers

Answer 1

Answer:

a) The vector equation

[tex]AB^{-} = -4i^{-} -0j^{-} -8k^{-}[/tex]

b) The vector equation

  [tex]AB^{-} = -5i^{-} -2j^{-} -k^{-}[/tex]

Step-by-step explanation:

Step(i):-

a)

Given that the points are A( 6,5,7) and B = m = 2i+5j-k

OA = 6i+5j+7k and OB = 2i+5j-k

AB = OB-OA

    =  2i+5j-k - (6i+5j+7k)

    = 2i -6i +5j-5j-k-7k

   =  [tex]-4i^{-} -0j^{-} -8k^{-}[/tex]

b)

Given that the points are A( 8,6,2) and B = (3,4,1)

OA = 8i+6j+2k and OB = 3i+4j+k

AB = OB-OA

     = 3i+4j+k -(8i+6j+2k)

    = 3i -8i +4j-6j+k-2k

    =  [tex]-5i^{-} -2j^{-} -k^{-}[/tex]


Related Questions

help me pls , im stupif

Answers

It's alright, you're not stupif. It's just a little bit complicated if it's either your first time doing it or has been a while since you did it last.

r: 16 km. d: 32 km.

The Formula is: C = 2πr. Because it says below the rest of the data that we use 3 for pi, and since we have r, which is 16, the equation becomes C = 2(3)(16).

The answer becomes 96 Kilometers.

7. Which set of ordered pairs represents a function?
A) {(-2,1),(-1,0). (1,-1), (2,-2), (3,-3)}

B) {(-2,57, (-2,5), (-2,7),(-2,9), (-2,11)}

C) {(1,5), 7,2), (9,1), (9,7), (2,7)}

D) {(-4,0), (-2,1),(0,2), (-2,4), (-4,6)}

Answers

Answer:

a

Step-by-step explanation:

to be a function, every x has to have exactly one y, so there can't be the same number x twice wirh different y's

Children 12 and under eat free at a local restaurant. If x represents age, write an inequality to represent people who do not get a discount.

Answers

Answer:

12 ≤ x

Explanation:

Kids 12 and under, meaning that the age of someone who enters the restaurant has to be less than or equal to 12 to eat free

The inequality which represents the age of the people who do not get the discount is x > 12.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

Children 12 and under eat free at a local restaurant.

Let x represents the age of the people.

Since the children who are 12 and under will get the discount, the age of the people who do not get the discount is the people with age greater than 12.

That is the inequality representing this situation is,

x > 12

Hence the required inequality is x > 12.

Learn more about Inequalities here :

https://brainly.com/question/29196267

#SPJ2

PLEASE HELPPPPPP!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

B is the correct answer for this

Answer:

Step-by-step explanation:

it's c

HELP “The vertical supports in this truss bridge are built so that
AABO=AOCD. Which of the following statements
is NOT true?”

Answers

Answer:

The statement that is not true is;

c) m∠ABO = m∠ODC

Step-by-step explanation:

With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;

Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD

Vertices B and C on ΔABO and ΔOCD are corresponding vertices

Therefore;

Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively

Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD

Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD

Therefore;

m∠ABO = m∠OCD by definition of congruency

Answer:

D

Step-by-step explanation:

find the two smallest consecutive even intiger whose sum is at least 51 .​

Answers

Answer:

26 + 28 = 54

Step-by-step explanation:

These are the smallest two even consecutive numbers that sum up to atleast 51

Which value of x makes the value of the expression x - 11.5 a negative number?

Answers

Answer:

11

Step-by-step explanation:

The absolute value of any positive number is the number itself, so 11 has 11 as an absolute value. Also, the absolute value of a negative number is its (positive) opposite, so also has 11 as an absolute value.

8 m (cubic meters) = dm3 (cubic decimeters)

Answers

Answer: 8000 dm³

Step-by-step explanation:

1 m³= 1000 dm³

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

Given

8 m³= dm³

Solve

8 m³ × 1000 dm³/m³=8000 dm³

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP!! I need it asap tysm

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer is D your welcome lol

Step-by-step explanation:

lol

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

Answers

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

Hello!! I have a question, can you please answer it. ^^


The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.

a. What is the largest number of kits the nurse can make?

b. How many bandages and lozenges will be in each kit?

Answers

Answer:

1. 75

2. 1

Step-by-step explanation:

The unit of measure of the of the conversion
factor should be the unit of measure which
you want to convert.
O A. numerator; to
O B. numerator; from
O C. denominator; to
O D. none of the above

Answers

Answer:

dddddddddddddddddddd

-9x = 10 - 2y
-48 = 4x+10y

Answers

Answer:

x=−2 and y=−4

Step-by-step explanation:

I will solve your system by substitution.

(Add -4x to both sides)

(Add 48 to both sides)

(Divide both sides by -4)

(Simplify both sides of the equation)

(Add 2y to both sides)

(Add -108 to both sides)

(Divide both sides by 49/2)

(Simplify both sides of the equation)

Answer:

x=−2 and y=−4

I hope this helps :)

The answer is x= -2 and y= -4 have a nice day:)

Can you simply these fractions?

Answers

4/20 = 1/5

9/24 = 3/8

18/30 = 3/5

9/12 = 3/4

9/21 = 3/7

5/45 = 1/9

20/25 = 4/5

10/12 = 5/6

6/9 = 2/3

4/40 = 1/10

Explanation:

Find the greatest common factor then divide the numerator and denominator by the greatest common factor

Hope This Helps :)

4/20 = 4÷4 / 20÷4 = 1/5

9/24 = 9÷3 / 24÷3 = 2/8

18/30 = 18÷6 / 30÷6 = 3/5

9/12 = 9÷3 / 12÷3 = 3/4

9/21 = 9÷3 / 21÷3 = 3/7

5/45 = 5÷5 / 45÷5 = 1/9

20/25 = 20÷5 / 25÷5 = 4/5

10/12 = 10÷2 / 12÷2 = 5/6

6/9 = 6÷3 / 9÷3 = 2/3

4/40 = 4÷4 / 40÷4 = 1/10


Hope this helps!

please help me with this!!!​

Answers

Answer:

126 m^2

Step-by-step explanation:

We can use the formula of the area of a parallelogram:

Area = base x height Area = 14 x 9Area = 126 m^2

Hope this helps!!

Answer:126m^2

Step-by-step explanation:

The area of a parallelogram is the same as a rectangle. You must do 9*14=126.

Multiply row 2 by the reciprocal of −40:



4−1−4
0−400
001
−7
40
3





4−1−4
0
0
001
−7
3

Answers

Answer:

first answer is 1 second is negative -1 answer for edge 2021

Step-by-step explanation:

correct

Answer:

the first one is 1 , -1

the second one is 4, 0 , -4 , -8

Step-by-step explanation:

i just did it

find the area of each parallelogram

Answers

9514 1404 393

Answer:

120 m² 26 ft²

Step-by-step explanation:

The area is given by the formula you show. The height is measured perpendicular to the base.

1. A = bh = (10 m)(12 m) = 120 m²

2. A = bh = (6.5 ft)(4 ft) = 26 ft²

Danny has a rectangular rose garden that measures 8m by 12.5m. One bag of fertilizer can cover 16m2. How many bags will he need to cover the entire garden?

Answers

Answer:

do your work and ask a teacher or parent for help to solve it and stop asking random strangers for the answer and learn how to do it. <3

Step-by-step explanation:

Drag the appropriate answer from the choices given into the box provided.
Allen bought 2 notebooks for $8.75 each and one
Textbook for $74.95. If the sales tax was 7%, the total
of Allen's purchase was
$83.70
$89.56
$92.45
$98.92

Answers

Answer is $83.70 if I’m wrong sorry

5x6+7493+89-81+7783=

Answers

5x+15293
There’s this app called Photomath and it helps with math:) have a great day

The slope of line M between (-6,-8) and (-2,-5) is 3/4. What is the slope of line M between (2,-2) and (10,4)?

Answers

The slope is ¾ at all points on M.

Pleasee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

(4,7)

Step-by-step explanation:

An oval track is made by endosing semicircles on each end of a 50 m by 100 m rectangle. Find the area endowed by the track. Use 3.14 fotz
The area ended by the track is
(Pound to the nearest hundredth as needed.)

Answers

Answer:

66

Step-by-step explanation:

edmentum

Answer: A=6,612+3.14(29)^2

A=6,612+3.14*841

A=6,612+2,640.74

A=9,252.74 m^2. ans.

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

IF the semicircircle is on the 116m end then just replace the 58 by 116.

Step-by-step explanation:

Find the distance, c, between (–3, –4) and (1, 5) on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer:

I believe the answer 16

Step-by-step explanation:

All you have to do is count.

2x+3 = 13
Bdnsmsñsl n bb bx

Answers

Answer:

the answer is =  5

2x=10 is the resukt of the substraction pn top but since we ended up with2x=10 we gotta divide by to in order to leave x alone so once we divide the final answer of equation is X=5

Please help.
Algebra.

Answers

Answer:

x^4

Step-by-step explanation:

Mayra bought x grams of rice.

Anika bought 5

more than Mayra bought.

Select ALL of the equations that represent the relationship

between the amount of rice that Mayra bought, x, and the

amount of rice that Anika bought, y.

(Select all that apply)

Answers

Answer:

[tex]y = 5 + x[/tex]

[tex]y - x = 5[/tex]

[tex]x = y - 5[/tex]

Step-by-step explanation:

No options were given but the question can still be solved

Given

From the first statement, we have:

[tex]Maria = x[/tex]

From the second, we have:

[tex]Anika = 5\ more[/tex]

Required

Determine the relationship between the amount of rice they bought

5 more means 5 + Maria.

So, [tex]Anika = 5\ more[/tex] becomes

[tex]Anika = 5 + Maria[/tex]

Substitute x for Maria

[tex]Anika = 5 + x[/tex]

For proper expression, let Anika be y

[tex]y = 5 + x[/tex]

Subtract x from both sides

[tex]y - x = 5[/tex]

Make x the subject

[tex]x = y - 5[/tex]

Your checking account is overdrawn by $5. You go to Target and make a purchase of $12 with the same checking account. What integer represents the balance in your account?

Answer choices
$ 17
$ -17
$ 7
$ -7

Answers

-17 I believe I don’t know I believe

A. 45
B. 20
C. 15
D. 80
HELP ME PLEASE I NEED IT!

Answers

Answer:

Step-by-step explanation:

Write the percent as a fraction in simplest form 3.2%

Answers

Answer:

4/125

Step-by-step explanation:

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