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

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)

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

Answers

Answer:

no

Step-by-step explanation:

32+33=65

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

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]

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:

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

Please help me NO LINKS
✌︎('ω'✌︎ )

Answers

Answer:

Use the Substitution method

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

Position 3 Value of Term 8 20 Com ​

Answers

i dont know i need this one too

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

PLEAS HELP PLEASE ASAP​

Answers

Answer:

9 it is

Step-by-step explanation:

mode is most common so the answer is -7

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

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.

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

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!

Find the value of x please and fast!!

Answers

Answer:

B) 5

Step-by-step explanation:

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

What expression is equal to (5^4)²

Answers

Answer:

5^8

Step-by-step explanation:

multiply the exponents = 4x2 = 8

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

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:

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

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 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.

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

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

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

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

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

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

M∠E + m∠S=______° (plzzz help me )

Answers

Parellegram hope this helps
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