compute the distance between (9,-5,4) and (-10,3,4)

Answers

Answer 1

Answer:

~20.6155

Step-by-step explanation:

To compute distance between two points, we can get the vector from one to the other by subtracting them and then computing the length of the vector.

The length of a vector V is:

[tex]|V| = \sqrt{\sum_{i=1}^n v_i^2}\\[/tex]

The vector is:

(9, -5. 4) - (-10, 3, 4) = (9 + 10, -5 - 3, 4 - 4) = (19, -8, 0)

So the length is:

[tex]\sqrt{19^2 + (-8)^2} = \sqrt{361 + 64} = \sqrt{425} = \sqrt{5\cdot 5\cdot 17} = 5\sqrt{17} \approx 20.6155281281[/tex]


Related Questions

PLS HELP. INSANELY URGENT. QUESTION IN PICTURE

Answers

Answer:

Difference of 15,180,495 feet³

Step-by-step explanation:

Red pyramid volume: 59300000 feet³

Pyramid of Khafre volume: 74400000 feet³

Subtract to get difference

74400000-59300000= 15100000

Nearest in answer choice is 15,180,495 so therefore it is the third choice.  

You charge $2 per evening plus $5 per hour to babysit and you only charge for whole hours. You have a goal to earn at least $121 for 8 evenings of babysitting. What is the least amount of hours in total you need to babysit for the evenings?

Answers

Answer:

8 hours

Step-by-step explanation:

Answer:

21 hours

Step-by-step explanation:

8 evenings x $2 per evening = $16

$121 - $16 = $105

$105 / $5 per hour = 21 hours

to check:

21 hours x $5 per hour = $105

8 evenings x $2 per evening = $16

$105 + $16 = $121

what is a discriminant? (maths definition)​

Answers

Discriminant:  in mathematics, a parameter of an object or system calculated as an aid to its classification or solution.

Answer: Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation ax2 + bx + c = 0, the discriminant is b2 − 4ac; for a cubic equation x3 + ax2 + bx + c = 0, the discriminant is a2b2 + 18abc − 4b3 − 4a3c − 27c2

Hope this helped!

Sending U you good luck!

What is the distance between (8, -3) and (4, -7)?
Choose 1 answer

Answers

Answer:

Option C √32 is correct

Step-by-step explanation:

Here,

x₁ = 8

x₂ = 4

y₁ = (-3)

y₂ = (-7)

Now,

By Using Distance Formula

D = √(x₂ - x₁)² + (y₂ - y₁)²

= √(4 - 8)² + [(-7) - (-3)]²

= √(-4)² + [(-7) + 3]²

= √16 + (-4)²

= √16 + 16

D = √32

Thus, The distance between (8, -3) and (4, -7) is √32

-TheUnknownScientist

Answer:

under root 32 is the right answer

15 tractors each working 8 hours a day take to take eight days to Plough a piece of land how many days will it take 24 tractors each working 10 hours a day to plough the same piece of land​

Answers

It will take 24 tractors, each working 10 hours a day, a total of 4 days to plough the same piece of land.

To determine how many days it will take 24 tractors, each working 10 hours a day, to plough the same piece of land, we can use the concept of man-hours.

Given that 15 tractors, each working 8 hours a day, took 8 days to complete the task, we can calculate the total man-hours required to plough the land.

Total man-hours = Number of tractors * Hours per tractor * Number of days

Total man-hours = 15 tractors * 8 hours/tractor * 8 days

Total man-hours = 960

Now, let's calculate the number of days required for 24 tractors, each working 10 hours a day, to complete the task.

Number of days = Total man-hours / (Number of tractors * Hours per tractor)

Number of days = 960 / (24 tractors * 10 hours/tractor)

Number of days = 960 / (240)

Number of days = 4

As a result, ploughing the same plot of land will require 24 tractors to labour for a total of 4 days at 10 hours per day each.

for such more question on hours

https://brainly.com/question/23377525

#SPJ8

Is 32 + 33 equal to 35 ? Explain.
!!! help

Answers

Answer:

no

Step-by-step explanation:

32+33=65

Does the mean or median best describe a typical value in the data set shown?19, 18, 19, 18, 19, 19, 1, 19, 18, 19, 18

Answers

Answer:

Probably mean.

Step-by-step explanation:

The median is the middle number (in this case, 19) and the mean is the average of all the numbers

5. The circumference of the earth is about 24,855miles. Find the surface area of the Western Hemisphere of Earth.​

Answers

Answer:

oh my answer is in the explanation

Step-by-step explanation:

it

is

quite

big

Logan works at a florist. He earns $300 per week plus $3 for each floral arrangement he delivers. The expression 300 + 3f gives the amount in dollars that Logan earns for delivering f floral arrangements.

How much will Logan earn if he delivers 40 floral arrangements in one week?

Answers

Answer:

420

Step-by-step explanation:

3 × 40 = 120

120 + 300 = 420

He will earn 420 in one week

Logan will earn $420.
300 + (3 x 40)
300 + 120
420

Which expression is equivalent to
-32 3/5?
O -8
O -3√32^5
O 1/3√32^5
O 1/8

Answers

Answer:

-8 is the final answer

Step-by-step explanation:

-(2⁵)^3/5

-2³

-8

-8 is the final answer.

Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.

Answers

Answer:

[tex]D = (7,3)[/tex]

Step-by-step explanation:

Given

[tex]D = (3,7)[/tex]

See attachment for graph

Required

Identify and correct the error

From the attached graph, the coordinate of D is at:

[tex]x = 7[/tex]

[tex]y = 3[/tex]

So:

Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.

So, the right coordinate is:

[tex]D = (7,3)[/tex]

Position 3 Value of Term 8 20 Com ​

Answers

i dont know i need this one too

At 2:45 in the afternoon, the tree cast a 9-foot shadow. Just after sunrise, the shadow had been 24 feet. What was the % change in the shadow’s length?

Answers

24% bc it makes sense

if comlementary angles are adjacent they form a :

i will give 34 points

fast fast

Answers

Answer:

they would make a staright line or straight angle, which would be 180 degrees.

Brainliest?

Step-by-step explanation:

How is the graph of y = 4x^2 - 9 different from
the graph of y = 4x^2 - 8?

Answers

Answer:

the first equation is one unit to the right of te left

Step-by-step explanation:

I need help please ........ on 6.​

Answers

Answer:

Step-by-step explanation:

Remark

His pay gets income tax deducted at a rate of 18% = 18/100

That means you multiply is weekly wage by 18/100 to get what the government takes off.

Solution

18/100 * 495 = 80.10

The government takes $80.10

His take home pay is 495 - 80.10 = $405.90

Note:

There is a short way of doing his take home pay if that is all you are interested in. His take home pay is 82% of his gross pay which is 82/100 * 495.

82/100 * 495 = 405.90

What expression is equal to (5^4)²

Answers

Answer:

5^8

Step-by-step explanation:

multiply the exponents = 4x2 = 8

Solve. Round to the nearest hundredth.
(Help! Will give brainliest)

Answers

29. x = 0.469 30. x = 5.39 31. x = 10.2 32. x = 5.29 33. x = 7.07 34. x = 6.08

Trina collects 56 oak leaves,38 maple leaves,and 46 birch leaves. what percent of trina's leaf collection is made up of oak leaves?​

Answers

Answer:

40% of 140 because 56+38+46= 140

M∠E + m∠S=______° (plzzz help me )

Answers

Parellegram hope this helps

PLEAS HELP PLEASE ASAP​

Answers

Answer:

9 it is

Step-by-step explanation:

mode is most common so the answer is -7

Find the value of x please and fast!!

Answers

Answer:

B) 5

Step-by-step explanation:

Divide: 1213 ÷ 9 = A)
134 R7
B)
134 R8
C)
135 R7. D)
135 R8

Answers

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

The circle graph shows the result of a survey of 1500 middle school students.



How many students save their money?

Answers

Answer:

Theres no pic

Step-by-step explanation:

I cant solve this

The strength of a rectangular beam varies jointly as its width and the square of its depth. If the strength of a beam 2 inches wide by 10 inches deep is 1000 pounds per square inch, what is the strength of a beam 4 inches wide and 8 inches deep?

Answers

Answer:

yes

Step-by-step explanation:

i know this

Write an equation through the point (0,13) with a slope 11/3

Answers

Answer:

13=11/3(0)+c

c=13

y=11/3X+13

Step-by-step explanation:

please like and brainliest mee

Please help me NO LINKS
✌︎('ω'✌︎ )

Answers

Answer:

Use the Substitution method

The answer to the problem is x = 10, y = -1

The ratio of 3 to 8 is equivalent to which
of these ratios?
A 16 to 6
B. 18 to 48
C. 48 to 6
D. 18 to 16

Answers

Answer:

B

Step-by-step explanation:

18:48

divide both sides by 6

3:8

B is the correct answer. If you multiply both original numbers (3 and 8) by 6 it equals 18 and 48.

Solve: x - 2 = x-8

{11}
{6, 11}
{}

Answers

The last one since there are no solutions

Answer:

11

Step-by-step explanation:

Equation is

[tex] \sqrt{x - 2)} = x - 8[/tex]

solve by

No links please!


If f(x) =x^4+5 then what is the remainder when f(x) is divided by x+5?

Answers

Answer:

630/x+5 (remainder over divisor)

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