what is the length of lines UV, VW, WX, and VU when the points U(7,9), V(0,5), W(-6,-3)U(7,9),V(0,5),W(−6,−3), and X(1,1)X(1,1) form quadrilateral UVWX?

Answers

Answer 1

The length of lines UV, VW, WX, and UX are: = √65 units, 10 units,√65 units and 10 units respectively.

What is Distance Formula?

Algebraic expression that gives the distances between pairs of points in terms of their coordinates

Given that:  U(7,9), V(0,5), W(-6,-3) ,X(1,1)

The length can be find by using Distance Formula,

Length of UV,

= [tex]\sqrt{(0-7)^{2} + (5-9)^{2}}[/tex]

= [tex]\sqrt{49+16}[/tex]

= √65 units

Length of VW,

= [tex]\sqrt{(-6-0)^{2}+(-3-5)^{2}}[/tex]

= [tex]\sqrt{36 + 64}[/tex]

=√100 units

= 10 units

Length of WX,

=[tex]\sqrt{(1-(-6))^{2}+(1-(-3))^{2}}[/tex]

= √49+ 14

= √65 units

Length of XU,

= [tex]\sqrt{(7-1)^{2}+(9-1)^{2}}[/tex]

= √36+64

=√100 units

= 10 units

Length of UW,

= [tex]\sqrt{(-6-7)^{2}+(-3-9)^{2}}[/tex]

= √169+144

=√313 units

Length of VX,

= [tex]\sqrt{(1-0)^{2}+(5-1)^{2}}[/tex]

= √1+16

=√17 units

Thus, Length of opposite sides are equal but the length of diagonals are not Equal. So, the quadrilateral is a parallelogram.

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Related Questions

Can someone say the answer to this question with steps?
¬

Answers

Answer:

729

Step-by-step explanation:

Question 1 of 42
Which of the following is the domain and range that represents the function
F(x), given the mapping diagram of the inverse of F(x) below?
2
NO 00
4
3
2
1
6
8
2-
No00
هم نه ليا ده
6
2.
3
4.
8
O A.
2.
4
3
2
1
NW
6
8
B.

Answers

The option A is showing the domain ans the range of the function F(x) as inverse of F(x).

What is inverse function?

In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]

Here in the graph we can see that the option A has the clear range of the function.

[tex]2------- > 1\\4------- > 2\\6------- > 3\\8------- > 4[/tex]

Hence the option A is showing the domain ans the range of the function F(x) as inverse of F(x).

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b) Your father uses text messaging to communicate with his employees. If he sends an
average of 19 text messages each day, how many more text messages does he
send than you? Write an equation and solve for the unknown value. (2 points)

Answers

Answer:

father sends 7 more

19-12=7

You just found a coupon for 35% off! what is 3 the new price of the shoe before taxes?

Answers

The new price of the shoe before taxes will be $ 35.75.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

It cost Nike $55 to make the "Kyrie 5".

You just found a coupon for 35% off.

Then the new price of the shoe before taxes will be

⇒ (1 - 0.35) x 55

⇒ 0.65 x 55

⇒ $ 35.75

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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a total weight of 135 kilograms. A delivery of 7 large boxes and 9 small boxes has a total weight of 255 kilograms. How much does each type of box weigh?

Answers

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

Simplify 85.84
O A. 820
O B. 169
O C. 89
O D. 649

Answers

Step-by-step explanation:

it seams like this question is wrong

Six workers are hired to harvest blueberries from a field. each is given a plot with an area of 84 ft2. which equation will tell you the total area of the blueberry field

Answers

The equation that represents the total area of the blueberry field will be y = 84x.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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ANSWER QUICK ILL GIVE BRAINLIEST
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? It is a valid sample because the first eight people were selected to participate. It is not a valid sample because it is not a random sample of the population. It is a valid sample because money was offered to participants. It is not a valid sample because it is only a short study.

Answers

Answer: Choice B

It is not a valid sample because it is not a random sample of the population.

Explanation:

The researcher should have randomly selected the participants, either by picking names out of a hat, using a random number table, or some kind of computer software to pick the names. Letting the first 8 people form the sample is very likely not representative of the population at large. We have a lot of bias here. Therefore, this is not a valid sample.

Does anyone knows this? I need help. Please explain​

Answers

Answer:

you can put a point on (0,1) and (-1,0) and put a line through the two points

Step-by-step explanation:

Which expression could represent the phrase shown? (1 point)

"Subtract 2 from 6, then divide by 3"

Group of answer choices

3 ÷ 6 − 2

3 ÷ (2 − 6)

(2 − 6) ÷ 3

(6 − 2) ÷ 3

Answers

Answer:

(6-2)÷3=1

this is the answer

follow me :)))

Select all right angles

Answers

Answer:

The right angles are B,D,E,and F

If the total profit per month is 200000 and the revenue per month can be obtained as twice the cost per month minus 50000. what is the revenue and cost?

Answers

Answer:

300,000

Step-by-step explanation:

[tex]2000000 - 50000 = 150000[/tex]

[tex]150000 \times 2 = 300000[/tex]


A monument has a base and a statue The base is a rectangular prism that measures 4 feet by 6 feet by 2 feet The statue is a cube with edges that are 2 feet long What is the volume of the monument

Answers

Answer:

The formula for volume is V=l*w*h

(6×4×2)×2=96 cubic feet

Answer:

The winter evening settles down

With smell of steaks in passageways.

Six o'clock.

The burnt-out ends of smoky days.

And now a gusty shower wraps

The grimy scraps

Of withered leaves about your feet

And newspapers from vacant lots;

The showers beat

On broken blinds and chimney-pots,

And at the corner of the street

A lonely cab-horse steams and stamps.

And then the lighting of the lamps.

Alfred Tennyson - Summer Night

Alfred Tennyson was another poet who made great use of visual imagery. See if you can get a clear picture of the summer night he describes in this poem "Summer Night:"

Now sleeps the crimson petal, now the white;

Nor waves the cypress in the palace walk;

Nor winks the gold fin in the porphyry font:

The firefly wakens: waken thou with me.

Now droops the milk-white peacock like a ghost,

And like a ghost she glimmers on to me.

Now lies the Earth all Danaë to the stars,

And all thy heart lies open unto me.

Now slides the silent meteor on, and leaves

A shining furrow, as thy thoughts in me.

Now folds the lily all her sweetness up,

And slips into the bosom of the lake.

So fold thyself, my dearest, thou, and slip

Into my bosom and be lost in me.

William Wordsworth - I Wandered Lonely as a Cloud

Next is an excerpt from "I Wandered Lonely as a Cloud" by William Wordsworth. The first and last stanzas show a progression of the poet's emotions using visual imagery.

I wandered lonely as a cloud

That floats on high o'er vales and hills,

When all at once I saw a crowd,

A host, of golden daffodils;

Beside the lake, beneath the trees,

Fluttering and dancing in the breeze.

For oft, when on my couch I lie

In vacant or in pensive mood,

They flash upon that inward eye

Which is the bliss of solitude;

And then my heart with pleasure fills,

And dances with the daffodils.

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Theodore Rothke - My Papa’s Waltz

This famous poem by Theodore Rothke is an excellent example of olfactory and tactile imagery with plenty of visual imagery thrown in for good measure. The effect is powerful.

The whiskey on your breath

Could make a small boy dizzy;

But I hung on like death:

Such waltzing was not easy.

We romped until the pans

Slid from the kitchen shelf;

My mother’s countenance

Could not unfrown itself.

The hand that held my wrist

Was battered on one knuckle;

At every step you missed

My right ear scraped a buckle.

You beat time on my head

With a palm caked hard by dirt,

Then waltzed me off to bed

Still clinging to your shirt.

William Carlos Williams - This Is Just to Say

"This Is Just to Say" is an amazing example of gustatory imagery or imagery involving taste. There’s more going on beneath the surface of this poem, but the vivid description of taste draws the reader in.

I have eaten

the plums

that were in

the icebox

and which

you were probably

saving

for breakfast

Forgive me

they were delicious

so sweet

and so cold

Step-by-step explanation:

A(2,-3), P(2,9)Find the slope of the line through the pair of points

Answers

Answer:

Step-by-step explanation:

(9 + 3)/(2 - 2)= 12/0= undefined

You need a loan and your friend, Joey, will lend you the $1250 you need. He has you sign a promissory note for four years with an annual simple interest rate of 5.5%. What is the total amount that you will pay Joey at the end of the four years?

$1525
$4225
$2750
$275

Answers

Answer:

$1525

Step-by-step explanation:

5.5% out of $1250= 68,7568,75 x 4 (years) = 2751250 + 275 = 1525

Please help!! Giving Brainleist!

Answers

Answer: 30

Step-by-step explanation:

Bc all the numbers are near 30

CAN I PLEASE HAVE BRAINLIEST ✨

im rlly frickin lost
pls help

Answers

Answer:

so far he has saved 27 dollars however he needs 33 more dollars

Step-by-step explanation:

okay so if it says "____ of x" you normally have to multiply (of is a hint)

so first lets see how much he saved

0.45(60) = 27

he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has

sooo

60 - 27 = 33

uhhh im not sure what the graph table thing on the right is, but i hope this helps a little

edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!

This railway car is 3.2 m in diameter and 17.2 m long. Calculate its surface area.
A railway car is a cylinder.
Estimate the cost of painting the outside of the railway car, if a can of paint covers an area of 40 m2 and costs $35.

Answers

Answer:

answer is 151.3575 dollars.

whats 9499 to the nearest thousand??? I NEED THE ANSWER A.S.A.P

Answers

Answer:

9000

Step-by-step explanation:

1,2,3,4 round down

5,6,7,8,9 round up

Look at the 100's column for rounding to the nearest 1000

[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]​

Answers

Answer:

21.27 cubic meters

22.30 cubic meters

Step-by-step explanation:

We find volume by multiplying height, width, and length.

21.

3x3x3=27 cubic meters

22.

5x2x3=30 cubic meters

Answer:

    21. 27 cubic meters

   22. 30 cubic meters

Step-by-step explanation:

Question 21

Volume = length × width × heightVolume = 3 × 3 × 3Volume = 27 cubic meters

Question 22

Volume = 5 × 2 × 3Volume = 30 cubic meters

PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth

Answers

12.57

Step-by-step explanation:

Area = πr²

40/360 × 22/7 × 36

1/9 × 22/7 × 36

(22 × 4)/7 = 12.57

How would you write this expression as a sum or difference?

Answers

The provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

What is a logarithm?

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have:

[tex]= \rm log_3(\sqrt[5]{x} . y)[/tex]

As we know:

log(mn) = logm + logn

logmⁿ = nlogm

[tex]= \rm log_3({x^{\dfrac{1}{5}}} . y)\\\\= \rm log_3({x^{\dfrac{1}{5}}} )+log_3 (y)\\\\= \rm \dfrac{1}{5}log_3({x^{}} )+log_3 (y)\\\\[/tex]

Thus, the provided log can be written as sum of (1/5)log₃(x) + log₃(y) after using the log property.

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Find the area of the green triangle

Answers

Answer:

16 ft^2

Step-by-step explanation:

The area of a triangle is calculated by multiplying its height and base then dividing it by 2

Height of this triangle is given as 4ft

the base is 8ft

4*8/2 = 16 the area is given is square units so the answer is 16 ft^2

a girl exercises every day for half an hour how many minutes in total for over 5 days

Answers

Answer:

150 minutes

Step-by-step explanation:

30 × 5 = 150 minutes

What two operations would you use to solve the equation b/2+5=-7

-multiplication
-addition
-subtraction
-division

Answers

okay so I simplified which got me
1/2b + 5 = -7
then subtracted 5 first
1/2b = -12
then multipled both sides by 2
b = -24
so subtraction and multiplication

A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. if a marble is selected at
random, what is the probability that it is not blue?

Answers

Answer:

the odds that it not blue is 9 /13 or .692

Step-by-step explanation:

Can you create a data set which contains median=6 and mode=4?​

Answers

1, 4, 6, 9, 15, 4, 3, 12, 11

Answer:

hey!

Step-by-step explanation:

PLEASE HELP ME WITH THIS QUESTION!!!

Answers

9x²+3x-1=0

D=b²-4ac

= 3²-4×9×-1

=9+36

=45

x1= (-b+VD)/2a

= (-3+V45)/2×9

= (-3+3V5)/18

=(-1+V5)/6

x2=(-b-VD)/2a

=(-3-3V5)/18

=(-1-V5)/6

The following data points represent the number of quesadillas each person at Toby's Tacos ate.
Sort the data from least to greatest.

0,0, 1/2, 1/2, 1/4, 1, 1, 1, 5/4, 2, 2.

What is the interquartile range of this data?β

Answers

The interquartile range for the given data is 1 quesadilla.

What is the interquartile range?

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

To get the interquartile range, we must know the first and third quartiles. To find those, we need to know the median of the data.

There are 11 data points, so we can cross out 5 numbers on the left and cross out 5 numbers on the right. That leaves a median of 1.

Since we know the median is 1, we can find the first quartile by finding the median of the following numbers:

0, 0, 1/4, 1/2, 1/2  (any number less than 1).

There are five numbers, so cross out two numbers from the left and cross out two numbers from the right. We are left with the first quartile of 1/4.

Now that we have the first quartile, we need to find the third quartile. Since the median was actually the first "1" in the data set, the third quartile will be the median of the numbers to the right of that "

1: 1, 1, 5/4, 2, 2.

Cross out the leftmost two numbers, and cross out the rightmost two numbers. We are left with the third quartile of 5/4.

Now that we have both the third and first quartiles, we can find the interquartile range! The IQR is calculated by finding the third quartile minus the first quartile.

5/4 - 1/4 = 4/4 = 1.

Therefore, the interquartile range is 1 quesadilla.

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find x so that x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence

Answers

Answer:

x = -3/2

Step-by-step explanation:

x + 3 + d  = 2x + 1              First term plus common difference = 2nd term

x -2 = d

x + 3 + 2d = 5x+2              First term + 2 d = third term    re-arrange:

4x-1 = 2d                            sub in the definition of d from above

4x -1 = 2 (x-2)

4x-1 = 2x-4

2x = -3

x = -3/2

If x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The sequence in which consecutive terms will have common difference is called as Arithmetic sequence.

x+3, 2x+1, and 5x+2

The common difference between first term and second term

d=2x+1-x-3

d=x-2

The common difference between second term and third term

5x+2-2x-1=d

3x+1=d

Now plug in d value

3x+1=x-2

Subtract x from both sides

3x-x=-3

2x=-3

Divide both sides by 2

x=-3/2

Hence, if x+3, 2x+1, and 5x+2 are consecutive terms of an arithmetic sequence then x is -3/2.

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