suppose Point G represents a duck flying over a Lake, point H and J represent two ducks swimming on the lake. Which is a true statement?

Suppose Point G Represents A Duck Flying Over A Lake, Point H And J Represent Two Ducks Swimming On The

Answers

Answer 1

Answer:

Choice D. There is exactly one plane that contains the three ducks: [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex].

Step-by-step explanation:

The three points [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex] are distinct since each of the three points represents a different duck.

There's only one line through two distinct points in a 2D cartesian plane.

Likewise, given two distinct points ([tex]\sf G[/tex] and [tex]\sf J[/tex]) in a 3D space, there would be only one line two the two points.

Assume that plane [tex]\sf L[/tex] represents the plane that contains the surface of the lake.

A line is in a plane if and only if all points on that line are in the said plane.

Point [tex]\sf G[/tex] is on the line that contains [tex]\sf G\![/tex] and [tex]\sf H[/tex]. However, since point [tex]\!\sf G[/tex] denotes the flying duck, this point would not be in [tex]\sf L[/tex] (the plane that contains the surface of the lake.)

Hence, the line that contains [tex]\sf G\![/tex] and [tex]\sf H\![/tex] would not be in plane [tex]\sf L\![/tex].

Given three distinct points in a 3D space, there would be exactly one plane that contains the three points.

Hence, three points in a 3D space would not be non-coplanar.

In this question, point [tex]\sf G[/tex], [tex]\sf H[/tex], and [tex]\sf J[/tex] are all distinct. Hence, there would be exactly one plane that contains these three points.


Related Questions

Based on the table which college expenses would you consider fixed and which expenses would you consider variable? Why?

Answers

9514 1404 393

Answer:

fixed: tuition, room, mealsvariable: books, personal, transportation

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

tuition and fees: $4640room and board: $10,304campus meal plan: $3998

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

books and supplies: $1500 to 2500personal expenses: $3000 to 4600transportation: $0 to 800

Complete the equation. (x-2)(x^2 + 2x + 4) = ( , )

Answers

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

Does anyone know how to divide a fourth degree polynomial

Answers

Answer: Polynomial long division can be used to divide a polynomial by any polynomial with equal or lower degree. The Division Algorithm tells us that a polynomial dividend can be written as the product of the divisor and the quotient added to the remainder.

Step-by-step explanation:

The government measures economic activity by calculating the

Answers

The Gross Domestic Product measures the value of economic activity within a country. Strictly defined, GDP is the sum of the market values, or prices, of all final goods and services produced in an economy during a period of time.

Hope this helps!

the image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b

Answers

Answer:

1vbrbdhrgdvsvdbbd

Step-by-step explanation:

bhegsbdvsvdvdbrbdbr

ddghehrhebfhfhrhd

ehebrnrjrjrnr

dvdbdbfbfbfbtnyn

A number is multiplied by 16, and that product is added to 4. The sum is equal to the product of 4 and 9. Find the number.

Answers

Answer:

The number is 2

Step-by-step explanation:

x * 16 + 4 = 9*4

x * 16 + 4 = 36

x * 16 + 4 - 4 = 36 - 4

x * 16 = 32

x * 16 / 16 = 32 / 16

x = 2

Answer:

The number is 2

Step-by-step explanation:

let the number be "a"

16a+4=4×9

16a+4=36

16a=36-4

16a=32

a=2

Solve 2/5 x + 1/2 = 5/6

Answers

The answer is x= 5/6

Answer:

5/6

Step-by-step explanation:

I'm assuming the x in your equation is used as a variable.

5/6-1/2= 2/6=1/3

2/5x=1/3

x=5/6

If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick? Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.

Answers

Answer:

i dont know that well but i do know 1 meter is roughly 2ft, so id say about 25.5 inches

0.01 inch is the  length of a meter stick.

To find the length of a meter stick in inches, we can use the conversion factor:

1 meter = 100 centimeters

1 inch = 2.54 centimeters

We can set up the proportion:

1 meter / 100 centimeters = x inches / 1 inch

Cross-multiplying:

1 meter × 1 inch = 100 centimeters × x inches

x = (1 meter × 1 inch) / (100 centimeters)

x = 1 inch / 100

x = 0.01 inch

To learn more on Conversion factor click:

https://brainly.com/question/32020768

#SPJ6

Find the area of each shaded region. Show your reasoning.

Answers

maybe we could answer if there waas a pic=]

PLEASE HELP WITH THE SCREENSHOT BELOW

Answers

Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

Three times the sum of a number and 2 is the same as three-fifths of the sum of the same
number and 22. What is the number?

Answers

Answer:

3

Step-by-step explanation:

3(n+2)=3/5(n+22)

3n+6=3/5n+66/5

3n-3/5n = 66/5 - 6

2.4n = 7.2

n = 7.2/2.4

n = 3

Can anyone help me with this question please!???!??

Answers

Answer:

initial population : 89

after 9 years : 676

Step-by-step explanation:

no need for panic. this is just plain calculator mechanics. yes, we need to do some more complicated typing and use e, but it is still only typing.

the initial population is P(0). or t = 0.

simply when there were 0 years since the fish were added.

that is simple.

we get (as -0.42×0 = 0)

800 / (1 + 8e⁰) = 800 / (1+8×1) = 800 / 9 ≈ 89

now, after 9 years we have to calculate P(9). or t=9.

let's pre-calculate : -0.42×9 = -3.78

e to the power of -3.78 = 0.022822691...

8 times this is 0.182581531...

and plus 1 is 1.182581531...

800 / 1.182581531... = 676.486127 ≈ 676

Helppppp plzzzzzzz!!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!

Answers

Answer:

slope is -1/25. This slope in context means that the car can drive 25 miles per gallon. the y int is 15. in context to the problem, the car started with 15 gallons in its tank.

Step-by-step explanation:

4v + 1) + v = 5(v - 1) +9

Answers

Answer:

Step-by-step explanation:

4(v+1)+v=5(v-1)+9

distribute

4v+4+v

which is

5v+4=5v-5+9

5v+4=5v+4

No solution is the answer

least multiple of 2983548​

Answers

Answer:

it must be 2983548×2............

Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?

A. $253
B. $383
C. $590
D. $337

Answers

Answer:

D.

Step-by-step explanation:

$230 + $360 = $590

$590 - $253* = $337

$337

*( total sum of all the bills )

Add or Subtract: show all written work 30 POINTS!!

Answers

Answer:

I hope it helped U

stay safe stay happy

If y= 2x+3, find the value of y when x= 2.

Answers

Answer:

7

Step-by-step explanation:

subtitue x=2 in given equation as:

y= 2(2)+3

y= 4+3

y=7

PLEASE HELP NOW

write and solve an equation to find the value of X. please explain in details and show your work!

Answers

Answer:

Solution=96°+x+35°

=x+96°+35°

=x=96°-35°

=x=61°

Determine which of the following mappings are functions. If the relation is not a function, indicate why it is not.

Answers

Step-by-step explanation:

1. the first mapping is a function

2. the second mapping is not a function, because: B has 2 relations, C & E have no relations.

3. the third mapping is a function

4. the fourth mapping is not a function, because B has no relation.

If 3x+2=5/9, what is the value of −3x+8?

Answers

Answer:

[tex] \frac{85}{9} [/tex]

Step-by-step explanation:

hopefully the picture is clear and understandable!

:)

the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?

Answers

its 1.429 x10^-4 grams per cubic cm

iwidncuhbcffbhbhvfrhur3huivr4hiuvriuvfruvfiuvfjivfrjiovrjiovfriojvrfjiovfiovrfmvr mkormkvmkvkmorbemoivbe

Answers

Answer:

3.14159265358979

Step-by-step explanation:

Answer is ihsgdahgfajfahhaivabsvsbshs

A researcher observed elementary school children in a rural setting vs. an urban setting. She believes the proportion of students who get the recommended amount of daily exercise may be different for students in the urban vs. rural setting.

Requied:
What would be the most appropriate test to test the researcher's claim?

Answers

Answer:

Go to multiple schools in urban and rural areas and find out how much exercise they get. Compare the data/research to find out if one gets more than the other, less, or equally the same amount of exericise.

If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap

Answers

Answer:

B

Step-by-step explanation:

f^(-1) (x) = (x-1)/3

f^(-1) (10) = (10-1)/3 = 3.

Dhruv jogs 8ft per second find the rate in miles

Answers

Answer:

1/660th of a mile per second

Step-by-step explanation:

There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.

6 less than 8 times a number (x) is equal to 14

Answers

Answer:

8x-6=14

Step-by-step explanation:

Whenever you see less next to a number, you know it's gonna be -6. If it said 6 minus 8x though, then you would do 6-8x etc. Hope this helped.

Use the Distributive Property to multiply. 2(b – 7)

Answers

Answer:

2b - 14

Step-by-step explanation:

2(b – 7)

2b - 14

Answer:

[tex]2b-14[/tex]

Step-by-step explanation:

Using the distributive property, [tex]2(b-7)[/tex] can be written as [tex](2\cdot b)-(2\cdot7)[/tex] which solved/simplified is [tex]2b-14[/tex]

Man, it's late! Well, hope this helped you out and answered your question!

I need help ASAP whit this question

Answers

Answer:

B. 7

Step-by-step explanation:

The original box must be 1 by 1 by 1.

So then the new box would be 2 by 2 by 2.

2×2×2=8

8-1=7

I hope this helps!

pls ❤ and mark brainliest pls!

<7 and <8 are complimentary angles. <5 = <8 and m<6 = 29. Find the measure of angle 7 and angle 5​​

Answers

Here <5=<8 then

<7=<6=29

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

<5=61°
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