Three vertices of a parallelogram are shown in the figure below.
Give the coordinates of the fourth vertex.
(-7,-6)
(6,3)
(4,-4)

Answers

Answer 1

The fourth point is (-6.5, -14)

Vertices of a parallelogram?

The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.

The three vertices you've provided are (-7,-6), (6,3), and (4,-4). To find the fourth vertex of a parallelogram, we can use the fact that opposite sides of a parallelogram are parallel and congruent, meaning they have the same length and the same slope.

One way to find the fourth vertex is to use the vector that connects one vertex to another. The vector from (-7,-6) to (6,3) is (13,9), and from (6,3) to (4,-4) is (-2,-7)

If we use the vector which is opposite of (-2,-7) that is (2,7) and add it to the third point (4,-4) , we will get the fourth point.

(2,7) + (4,-4) = (6,3)

so the fourth point is (6,3)

Another way is to find the midpoint of the diagonal of the parallelogram which are (-7,-6) and (4,-4) and then add the vector which is opposite of (6,3) to (4,-4) that is (-6,-9) which is also the vector from (6,3) to (4,-4)

Midpoint of (-7,-6) and (4,-4) = (-0.5,-5)

(-0.5,-5) + (-6,-9) = (-6.5, -14)

Hence, the fourth point is (-6.5, -14)

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Related Questions

if A={1,2,3}, find the relation in A×S satisfying the condition x+y<5.​

Answers

Answer: This is copied from the internet:

Step-by-step explanation:

Answer:

For function, every element of the domain must have a unique image in co-domain...

(A)Let us redefine each function as a set of ordered pairs

and see if they satisfy the above condition (A) of a function f1={(1,2),(2,3),(3,4)} ; (4,5) cannot be an ordered pair as 5 does not belong to co-domain , Thus the element 4 of domain does not have an image.

f2={(1,4),(2,3),(2,4),(3,2)(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}

The uniqueness is violated as the elements have not one but many images.

f3={(2,1),(3,2),(3,1),(4,1),(4,2),(4,3)} Not a function as in f2 uniqueness is violated.

f4={(1,4),(2,3),(3,2)(4,1)} It is a function as each element has a unique image.

What is the perimeter?
Help plz...
And No links!!I repeat No links!!

Answers

Answer:

b= 8

Step-by-step explanation:

you use Pythagorean theorem to solve this problem

a² + b² = c²

since you already have a and c and you're missing b you rearrange the formula to:

[tex]c^{2}[/tex]-[tex]a^{2}[/tex] = b²

17² - 15² = b²

64² = b²

[tex]\sqrt{64}[/tex] = b

8 = b

Step-by-step explanation:

To find side b use Pythagoras theorem:

Hypotenuse²=Base²+Height ²

17²=B²+15²

289-225=B²

64=B²

√8=B²

So,

8 yards is Side B

Now,

We can use Heron's Formula

√S(S-A) (S-B) (S-C)

Let's find semi perimeter

17+15+8/2

40/2=20

So, S=20

Let A=8,B=15,C=17

√20(20-8) (20-15) (20-17)

√20×12×5×3

√2×2×5×5×2×2×3×3 (Factorising the numbers)

2×5×2×2×3

120 yards Answer

hope it helps...

John has the option to take the bus or a taxi to work each

day.
.

The bus costs $3. 00 per mile.

The taxi has a flat rate of

$4. 00 plus $1. 00 per mile.



Complete the blanks:


At _____miles, both the bus and the taxi will cost _____ dollars.


Answers

At 2 miles, both the bus and the taxi will cost $6.

What is an equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Given that the fare on bus is $3 per mile.

The taxi fare of taxi is $4. 00 plus $1. 00 per mile.

Assume that at x miles both fare will be the same.

The fare for x miles in bus is $3x.

The fare for x miles in taxi is $4 + $x

Equate to the fares:

3x = 4 + x

Subtract x from both sides:

3x - x = 4

2x = 4

Divide both sides by 2:

x = 4/2

x = 2.

The fare for 2 miles in bus is $3×2 = $6.

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The perimeter of a square is 48. If the perimeter is 4 times than before then find the number of times the area becomes of what it was before.

Answers

Answer:

12?

Step-by-step explanation:

Lowkey don't understand the last part of your q but if it's 4 times then if the original was 12 48 is four times bigger

PLEASE HELP ASAP! 55 POINTS Jackie wraps a sheet of paper tightly around a wax candle whose diameter is two inches, then cuts through them both with a sharp knife, making a 45° angle with the candle's axis. After unrolling the paper and laying it flat, Jackie sees the wavy curve formed by the cut edge, and wonders whether it can be described mathematically. Sketch this curve, then show that it is sinusoidal. It is very helpful to use radian measure to describe angles in this problem.

Answers

Answer:

Step-by-step explanation: You can make a 90-degree angle and put a line threw the center of the angle for a 45-degree angle. Then you can erase 1 side of the angle that was making a 90-degree angle.

Please help me with my HW

Answers

Answer:

Step-by-step explanation:

(9a⁴b⁷) x (6a³b⁸)

(9 x 6) x (a⁴ x a³) x (b⁷ x b⁸)

54 x a⁷ x b¹⁵ = 54a⁷b¹⁵

Answer:

(9a⁴b⁷).(6a³b⁸)

=54a⁷b¹⁵

i need this answered

Answers

Answer:

69 pi is your answer.

To get the area you have to multiply (W times L)
6 x 10 is 60

15. You have 8 employees. How many jobs will each employee have to do if there are 96
work orders?
A. 10
B. 9
C. 16
D. 12

Answers

The answer should be D

please help and explain

Answers

Answer:

look at the picture I sent

Find the measure of MN

Answers

Answer:

The measure of arcMN is 60°

Step-by-step explanation:

All the way around the circle is 360°. Two marked arcs are 100° and 140°. AngleMON and AngleNOP are marked equal, which means that ArcMN and ArcNP are also equal. So we can write an equation:

100+140 + x+x =360

combine like terms.

240 + 2x = 360

subtract 240.

2x = 120

divide by 2

x = 60

ArcMN is 60°

Brian has 64 flowers for a big party decoration. In addition, he is considering buying flower arrangements that have 18 flowers each. All of the arrangements cost the same. Brian can buy up to 5 arrangements given the amount of money he has. Let x represents the number of flower arrangements Brian buys. Write a function rule to describe how many flowers Brian will have based on the number of arrangements he buys. Find a reasonable range for the function.

Answers

The function which can which can define the number of flowers in the arrangement is f(x) = 64 + 18x. The domain is found to be [ 0 , 5 ] and the range is [ 64 , 154 ].

Let the number of flowers which is to be calculated be x,

now we know that she already have 64 flowers and that each arrangement will have 18 flowers.

Therefore, the number of flowers can be given by the function , f(x) = 64 + 18x.

Now , we know that the maximum number of flowers which she can buy externally is 5 , which means the domain becomes  [0,5] .

To find the range we will put the value of domain in the given function.

when x = 0 ,

f(0) = 64

when x = 5,

f(5) = 154

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NO FILES AT ALL JUST HELP ME

Answers

Answer:

4/20

Step-by-step explanation:

Please help. Worth 30 points.

Answers

Answer:

y = -3x + 5)

Step-by-step explanation:

We see immediately that the line crosses the y-axis at (0, 7).  The line also goes through (4, -5).  As we move from the first to the second point, x increases by 4 and y decreases by 12.  Thus, the slope of this line is m = -12/4, or m = - 3.

Using the slope-intercept form,

y = -3x + 5)

Answer: y=3x+7

Step-by-step explanation: You need to remember y=mx+b. M is the slope and b is the y intercept. The y intercept is easy as it's were the line touches the y axis or in this case 7. The slope is rise over run meaning you find a point on the graph like (2,1) and you count how many spaces up until your next to a point, and then you see how many spaces you have to move over or run. In this case you rise 3 and run 1 meaning the slope is [tex]\frac{3}{1}[/tex] or just 3.

Rasheen and Eric went to Taco Express. Rasheen bought seven tacos and two fajitas and paid $12.65. Eric bought four tacos and one fajita and paid $6.95. Find the cost of one taco.

Question 8 options:

$1.35


$1.45


$1.25


$1.95

Answers

Answer: $1.25
Explain: the taco is is for $1.25 and the fajitas 1.95

Rasheen: order 7tacos: 1.25x7= $8.75 , and 2 fajitas: 1.95x2= $3.9
8.75+3.9 = $12.65

How do you calculate the number of seeds per acre?

Answers

1.  Convert lb./acre to grams/acre

2. Use the TKW to calculate seeds per acre.

What is acre?

The imperial system and US customary systems both use acres as a measure of land area.

According to traditional definitions, it is the area of one chain by one furlong (66 by 660 feet), which is exactly equal to 10 square chains, 1640 of a square mile, 4,840 square yards, or 43,560 square feet, and roughly 4,047 m2, or roughly 40% of an acre.

A declared acre is equal to 4,046.8564224 square metres according to the 1959 international yard and pound agreement. Although the word "acre" is typically spelled out, the abbreviation "ac" is sometimes used instead.

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PLEASE HELP ME WITH THIS QUESTION, ILL BRAINLIEST YOU

Answers

Answer:

y = 56.9

Step-by-step explanation:

100 + 13x = 180

13x = 80

x= 80/13

7(80/13) + y = 100

y = 56.9

Working together, Mary and Trevon can
inflate twenty balloons in 7.34 minutes.
Had he done it alone it would have taken
Trevon 14.1 minutes. How long would it
take Mary to do it alone?

Answers

20 balloons in 7.34 minutes? lets do the math! [tex]\frac{20}{7.34\\}[/tex] = 2.73 balloons a minute.

If Trevon took 14.1 minutes, lets do the math, [tex]\frac{20}{14.1}[/tex] = 1.42 balloons a minute, now if we take 2.73, subtract 1.42 from 2.73. 2.73 - 1.42, we get, Drum roll please...................... 1.31 !!! So, with that fact, we get 1.31, so that means Mary would have to blow 1.31 balloons a minute WITH Trevon, now some more math. we take the amount Mary did, 1.31, and the amount of time it took for both, 7.34, we get this problem, 1.31 x 7.34 which equals (yes I'm doing it again) DRUM ROLL PLEASEEEE....................... 9.60!!!!!!!!

So, in the end, the answer is 9.60

~~Best regards

~Akmp

A travel guide has dimensions 8 in. by 10 in. What scale factor should be used to make an enlarged version that has dimensions 12 in. by 15 in.

Answers

The scale factor for the length is 12/8 = 1.5 and the scale factor for the width is 15/10 = 1.5

So the scale factor used to make an enlarged version is 1.5.

What is the scale factor?

A scale factor is a value used to multiply the dimensions of an object in order to increase or decrease its size. It is often represented as a ratio, such as 1:2 or 1/2, which indicates that the new object is half the size of the original object. Scale factors can also be expressed as a decimal or a percentage, such as 0.5 or 50%. Scale factors can be used in various fields such as architecture, cartography, and graphic design.

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Please find the perimeter of this irregular shape. NO LINKS!

Answers

Answer:

36

Step-by-step explanation:

Starting at the uppper left and counting the blocks

3 + 2 + 3 + 2 + 4 + 6 + 4 + 2 + 6 + 4 = 36

What is the value of f(x) if x=5 ?

Answers

Answer:

Step-by-step explanation:

f(x)= 32(0.5)^x

f(5)= 32(0.5)^5

f(5) = 1

Which number will have the same result, when rounded to the nearest hundred or thousand? (3-5) A 1,049 B 1,118 and 5 C 1,179 D 2,149

Answers

Answer:

The answer is "Option A".

Step-by-step explanation:

In this question except for choice "A", all the value is not nearest about the hundred or thousand, that why the correct answer is "1,049".

Please help me! I don't understand

Answers

Ok so im
Not 100 percent sure but its most likely 12 this is because we know two sides are congruent so that means the two angles are equal so if they are equal and we are given that BE is 6 then ED would also be 6 making it 12

Answer: 12

Step-by-step explanation:

The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12

What is the slope of the line through the points (-8, 4) and (4,4)?

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-4)/(4-(-8))

m=0/(4+8)

m=0/12

m=0

In a recent survey, three out of every five students said they would prefer going to a water park for the class trip.
If 105 students were surveyed, how many can be expected to prefer the water park?

Answers

here. hope this helps....

What is '__ main __'?

Answers

In Python, __main__ is the name of the environment where top-level code is run.

We know that in Python, the main function acts as the starting point of execution for any software program.

As we know the program executes only when it runs directly, and if it is imported as a module, then it will not run, the execution of the program starts only when the main function is defined in Python.

__main__ is the name of the top-level scope in which top-level code executes.

Also, all the functions and modules will be executed in the top-level scope __main___ in the interpreter shell.

Using the top-level scope __main__ increases the reusability.

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6x10^-3 x 2 x 10^-4 =
Please help

Answers

Answer:

0.0000012

Step-by-step explanation:

I hope this helps you! :D

1.2 • 10 ^ -6

I think this is it

hellllllllllllllllpppppppppppppp

Answers

Answer:

32m^2

Step-by-step explanation:

A quality control expert found 12 defective cell phones in a shipment of 75 cell phones, based on these results how many cell phones in a shipment of 1500 can be expected to be defective?

Answers

Answer:

240 cell phones

Step-by-step explanation:

=12×1500

=18000÷75

=240

You borrowed $59,000 for 2 years at 11% which was compounded annually. What
total will you pay back?

Answers

Answer:

$72693.9

Step-by-step explanation:

To get this answer you need to use the compound interest formula, which will be A=P(1+r/n)^n(t). P=59,000 r=11%=0.11 n=1 (annually) t=2 years. From there you should be able to figure the rest out and get the answer. Hope this helps!

Write (2n^(2))^(3) without exponents.

Answers

8n x n x n x n x n x n x n x n x n
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