the vertices of parallelogram abcd are A(4,0,3), B(3,4,-2),C(-2,0,1). find the coodrdinates of fourth vertices

Answers

Answer 1

Given :

The vertices of parallelogram ABCD are A(4,0,3), B(3,4,-2),C(-2,0,1).

To Find :

The coordinates of fourth vertices.

Solution :

We know, the vertices are ABCD .

Let, point D is (x,y,z) .

Also, diagonals of a parallelogram bisect each other.

Let, point of intersection of daigonal is O.

Coordinates of O are :

[tex]O_x = \dfrac{4+(-2)}{2}= 1\\\\O_y = \dfrac{0+0}{2 } = 0 \\\\O_z = \dfrac{3+1}{2}= 2[/tex]

O(1,0,2)

Value of point O through BD.

[tex]O_x = \dfrac{3+x}{2}\\\\x=-1\\\\O_y = \dfrac{4+y}{2}\\\\y = -4\\\\O_z= \dfrac{-2+z}{2}\\\\z = 6[/tex]

Therefore, the fourth vertices is D( -1,-4,6 ).


Related Questions

Which of the following is NOT a limitation of the model?
A size of sun
B size of the planets
C distances between planets
D number of planets

Answers

D the rest would be impossible to recreate

Answer:

the answer to this question is option D mark me as brainliest

HELP ME PLEASEEEEEE ASAP I REPEAT HELPPP

Answers

Answer:

b

Step-by-step explanation:

denominator(5) stays the same

multiply 2 by 4 since that is 1 fourth of an hour.

So now its 8/5

5 goes into 8 1 time with 3 leftover

So the 1 is a whole number now

the leftover fraction 3/5

=1  3/5

Diagram shows the distance-time graph of teo cars. FGHI shows the journey of car J from town K to town L. MGN shows the journey of car P from town L to town K. When did the two cars meet?​

Answers

Answer:

1100 is when the two cars met

Step-by-step explanation:

the two lines intercept at 1100, 60km

a 5 • a -3

(a to the 5th power • a to the -3 power)
•= multiplication

someone please answer this i have no idea what to do

Answers

Answer:

I believe a to the 8th power

Step-by-step explanation:

when you multiple number with numbers in the power place you multiply the numbers and add the power numbers, so in the case a times a is a and -3 plus 5 is 2 or you could think of it as 5 - 3 = 2

pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee​ help​

Answers

Answer:

there is nothing attached??

PLEASE ANSWER TO THIS QUESTION
select the case where the lengths of the legs in a triangle are shown from the lengths of the legs below


1) 8 cm, 13 cm, 5 cm
2) 11 cm, 7 cm, 8 cm
3) 6 cm, 19 cm, 8 cm​

Answers

Answer:

any pictures?

Step-by-step explanation:

But i would guess 2)

Simplify the expression.
347+429+437


1. 11 2/9


2. 12 2/9


3. 11 9/23


4. 12 9/23

Answers

Answer:

2.  12 2/9

Step-by-step explanation:

Because of the choices, I assume the three addends are mixed numerals:

3 4/7 + 4 2/9 + 4 3/7 =

= 3 + 4 + 4 + 4/7 + 2/9 + 3/7

= 11 + 7/7 + 2/9

= 11 + 1 + 2/9

= 12 2/9

Answer: 2.  12 2/9

What were the main important ideas in geometry that you studied in the first six weeks?

Answers

Answer:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

Step-by-step explanation:

The preceding chapter explored implications of research on learning for general issues relevant to the design of effective learning environments. We now move to a more detailed exploration of teaching and learning in three disciplines: history, mathematics, and science. We chose these three areas in order to focus on the similarities and differences of disciplines that use different methods of inquiry and analysis. A major goal of our discussion is to explore the knowledge required to teach effectively in a diversity of disciplines.

I need help pleaseeeeeeeeeeeeeee :3

Answers

Answer:

0.75

Step-by-step explanation:

From the attached question, we

3÷ 4

We are asked to find 3÷ 4

3 ÷ 4 = 3/4

We simplify further in other to get a decimal form

3/4 = 0.75

Please help I will mark branliest

Answers

Answer:

B

Step-by-step explanation:

30x = 30 minutes per day

Answer: D

(I might be wrong btw, srry)

Step-by-step explanation:

A and C aren't possible cause they suggest mintues. In your expression 30 is already the minutes. As for B which is really similar to D, it can't be either because it was only for this one season and not all.

Have a nice day :)

15 POINTS!!!!
Solve the equation.

p over five + 6 = 10
A. 44
B. 30
C. 20
D. –20

Answers

p/5 + 6 = 10

=> p/5 = 10-6

=> p/5 = 4

=> p = 5×4

=> p = 20

C. 20

C because 20 over 5 equals 4, then 4+6 is 10

Need help z-8=3y-x.​

Answers

What are you trying to solve for?

Answer:

y = (-x-z+8)/3

Step-by-step explanation:

z-8 = 3y-x

-3y = -x-z+8

y = (-x-z+8)/3

Hope this helps!    :3

Plz mark as brainliest!


-2j < -14

What is j?


A. j > -12

B. j < 7

C. j < -12

D. j > 7

Answers

Step-by-step explanation:

-2j < -14

Divide both sides by -2:

j > 7. (D)

Answer:-2j < -14

Divide both sides by -2:

j > 7. (D)

Step-by-step explanation:

for g(x)=x²-x, find g(x) when x= -8
g(-8)=??
please help i have to finish this by 6 00 and its 5 23​

Answers

Answer:

g(-8)= -8²-8= -64-8= g(-8)=-72

Step-by-step explanation:

6(x-3)+10=(3x-4) NEED HELP ASAPP
Answers
#1 no solution
#2 All real answers
#3 3
#4 2

Answers

Answer:

=4/3 or 1 and 1/3

If it is not provided in the answer then put no solution.

Step-by-step explanation:

David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship? David has 11 books and 27 DVDs. David has 11 DVDs and 27 books. David has 11 DVDs and 27 items total. David has 11 books and 27 items total.

Answers

Answer: David has 11 DVDs and 27 books.

Step-by-step explanation:

When numbers are put in ratio form they are meant to compare their relative sizes.

The first number will be the first item being compared to the other.

For instance, if you had 2 pens and 3 pencils, the ratio of your pens to your pencils will be;  2:3. The ratio of your pencils to your pens however is 3:2.

In the same vein, a ratio of books to DVDs of 27:11 means that David has 27 books and 11 DVDs.

Answer:

David has 11 DVDs and 27 books.

Step-by-step explanation:

A transportation agency has one 37-seater bus and some 12-seater buses. They have enough seats to board no more than 435 passengers on their buses. Which inequality represents the possible number of 18-seater buses they have.

A:37x+12 435
C:37x+12>435
D:37+12x<435

Answers

Answer:

I think its D

Step-by-step explanation:

Tom had $55.85. He bought a shirt for $14.86, pants for $25.88, and socks for $5.76. Explain (using a sentence) how Tom can estimate the amount of money he has left. Then find the estimate. Round your answer to the nearest dollar.
HURRY! I HAVE FINALS :(

Answers

Answer:

$9.35

Step-by-step explanation:

14.86+25.88+5.76=46.5

55.85-46.5=9.35

Answer:

The rounded number would be nine

Step-by-step explanation:

It would be nine because you convert 55.85 to 56 then convert 14.86 to 15 convert 25.88 to 26 and convert 5.76 to 6 then subtract all of that to get nine hope it helps

Help I’m struggling please respond fast I have 5 m

Answers

Answer:

whats your question

Step-by-step explanation:

find
[tex] \frac{4}{11} of4 \frac{2}{5} [/tex]
[tex]please \: solve \: the \: question \: now[/tex]

Answers

Answer:

8/5

Step-by-step explanation:

In a city the population is increasing exponentially at a rate of 1.6% per year.
Find the overall percentage increase at the end of 20 years.​

Answers

Answer:

32% increase at the end of 20 years

Step-by-step explanation:

If the population increases at a rate of 1.6% per year, we should multiply it by the number of years that passed, which in this case, is 20. When we multiply those, we get 32%.

(hope this helped)

A boat is carried with the current at an angle of 43 degrees to the shore. if the river is approx. 15 meters wide, how far does the boat travel before reaching the opposite side of the shore

Answers

Answer:

22 m

Step-by-step explanation:

The computation of the how much far does the boat travel is as follows:

sin 43 degrees = 15 ÷ d

d = 15 ÷sin 43 degrees

= 15 ÷ 0.6820

= 21.99

= 22 m

Hence, the how much far does the boat travel is 22 m

We simply applied the above formula so that the correct value could come

The same is to be considered

Pleaseeeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

SF of KP to KN = 4

If LM = 32, then we would have to divide 32 by 4 in order to get the missing length of KL.

32 ÷ 4 = 8

Length of KL = 8

Length of LM = 32

Length of KM = 32 + 8 = 40

What is the simplified expression for (-3c)2 a-4 bo?​

Answers

Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

The equation x^3-3x=1 has a solution between 1.8 and 1.9. use a trial and improvement method to find this solution. give your answer correct to 2 decimal places.
HELPPPPPP I HAVE BEEN TRYING FOR AGES

Answers

Answer:

1.88 to 2 decimal places

Step-by-step explanation:

First, I plugged in 1.8 and 1.9:

1.8^3-3*1.8=0.432

1.9^3-3*1.9=1.159

Then, I plugged in 1.85:

1.85^3-3*1.85=0.78

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

Hope this helps!

Answer:

Step-by-step explanation:

1.8=-0.568 is too small

1.9=0.159 is too big

1.87=-0.70797 is too small

1.88=0.004672 is too big

Next, I plugged in 1.87 to get the answer closer to 1:

1.87^3-3*1.87=0.93

Finally, I plugged in 1.88 to get even closer to 1:

1.88^3-3*1.88=1.00

1.875=-0.033203125 is too small

so it should be 1.88 to 2 decimal places

Please help I will give brainliest!
If your answer is inappropriate in any way you will be reported...
Thank You!

Answers

Answer:

1

Step-by-step explanation:

Let's look at the first option in this multiple-choice; 18. 18 is divisible by 18, but is not divisible by 35, so that answer isn't right.

What about 3? 3 is divisible by 18, but it isn't divisible by 35. Let's move on.

7 is divisible by 35, but it isn't divisible by 18.

1 is universally divisible by anything. That doesn't mean it is the greatest common factor, but in this case it is, because none of the other options are a factor of both numbers given. Therefore, 1 is divisible by 18.

Richard has 15 apples. He gave Pam 5/2 of them to bake a pie. How many apples did he give to Pam?

Answers

Answer:

2.5 or 2 1/2 apples.

Step-by-step explanation:

5/2 simplified will be 2.5 or 2 1/2.

If you look into it further, because Richard had 15 apples, you subtract 2 1/2 apples he gave Pam which would leave him with 12.5 or 12 1/2. But really the answer is two and a half apples.

where can u find answers for bigideasmath[please thx]

Answers

Answer:

look up the answer on googe

pls help asap!!!
[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.


description

• 2.5 below sea level

Answers

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

In a survey of 2,100 people who owned a certain type of car, 945 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car ?

Answers

Answer:

45%

Step-by-step explanation:

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