The verticles of a polygon p(0,4), q(5,4), r(5.-3) and s(0,-3). What are the perimeters of the polygon

Answers

Answer 1

Answer:

Following are the responses to the given question:

Perimeter of polygon:

[tex]PQ = 5\\\\RS = 5\\\\PR = QS=\sqrt{74} = 8.60\\\\QR = 7[/tex]

Step-by-step explanation:

In this question we calculate the perimeter of a polygon which can be defined as follows:

Using formula:

[tex]d = \sqrt{(x _2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

When vertices are:

[tex]P ( 0 , 4) \\\\Q(5 , 4)[/tex]

[tex]x_1 = 0\\\\y_1 = 4\\\\x_2 = 5\\\\y_2 = 4\\\\PQ = \sqrt{( 5 - 0)^2 + ( 4 - 4)^2}\\\\= \sqrt{5^2 + 0^2}\\\\= \sqrt{25}\\\\= 5[/tex]

[tex]R( 5 , -3) and S ( 0 , -3)x_1 = 5y_1 = -3x_2 = 0\\y_2 = -3\\RS = \sqrt{ ( 0 - 5)^2 + ( -3 - (-3))^2}\\= \sqrt{( -5)^2 + ( -3 + 3)^2}\\= \sqrt{ 25 + 0}\\= \sqrt{25}\\= 5\\P( 0 , 4)\ and\ R (5 , -3)\\x_1 = 0\\y_1 = 4\\x_2 = 5\\y_2 = -3\\PR = \sqrt{( 5 - 0)^2 + ( -3 - 4)^2}\\= \sqrt{5^2 + (-7)^2}\\= \sqrt{ 25 + 49}\\= \sqrt{74}\\= 8.60\\[/tex]

[tex]Q ( 5 , 4) \ and \ S(0 ,-3)\\x_1 = 5\\y_1 = 4\\x_2 = 0\\y_2 = -3\\QS =\sqrt{ ( 0 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{-5^2 + -7^2}\\= \sqrt{25 + 49}\\= \sqrt{74}\\= 8.60[/tex]

[tex]Q( 5,4\ and\ R(5 , -3)\\x_1 = 5\\y_1 = 4\\x_2 = 5\\y_2 = -3\\QR = \sqrt{(5 - 5)^2 + ( -3 - 4)^2}\\= \sqrt{0^2 + (-7)^2}\\= \sqrt{0 + 49}\\= \sqrt{49}\\= 7\\[/tex]


Related Questions

Preciso de ajudar nessa questão que segue em anexo.

Answers

Answer: $85

Step-by-step explanation:

Não falo português mas tentarei ajudar.

Multiplique 6 2/3 e 3 1/7.

6 2/3 x 3 1/7 = 20 20/21

Dividir 20 20/21 e 5.

20 20/21 / 5 = 4 4/21.

Precisa de cinco latas de tinta.

5 x $17 = $85

a/7 =9

a=?

What does a=?

Answers

Answer:

a = 63

Step-by-step explanation:

Let's double check,

63 ÷ 7 = 9

---------

I got the answer by multiplying the 9 and the 7, making it 63.

---------

Have a good day :)

Answer:

A is equal to 63

Step-by-step explanation:

How you ask? multiply 7 on both sides. 9×7 is 63

The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs

Answers

Answer:

1:3 ............... ......


A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?

Answers

Answer:

a) 40 sides

b) 6840

c) 9 gegrees

Step-by-step explanation:

interior angle= (n-2)180

n

[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]

so total number of sides is 40

b) Sum of interior angles= (n-2)×180

(40-2)×180

38×180

6840

c) Exterior angle = 360 ÷ n

360÷40 =9 degree

Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!

Answers

Answer:
B
Step-by-step explanation:
a^2+b^2=c^2
1.7^2+0.9^2=x^2
2.89+0.81=x^2
3.7=x^2
x=about 1.9

What is the slope of the line

Answers

Answer:

0

Step-by-step explanation:

Line is parallel to the x-axis,

Therefore slope = 0

(Any line which is parallel to the x-axis has zero slope)

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

I think it's d sorry if wrong

Answer:

2 lb 1 oz

Step-by-step explanation:

There are 16 ounces in one pound, and since one candy bar weighs 3 ounces 3 x 11 = 33. 33 Ounces is equal to option D :)

PLEASE HELP ME WITH THIS THANK YOU!!!! 12 points!!​

Answers

Answer:

D

Step-by-step explanation:

Find the function value. f(-2) if f(x) = -x + 31

Answers

Answer:

33

Step-by-step explanation:

In f(x) = -x + 31 replace each instance of x with -2:

f(-2) = -(-2) + 31 = 33

how many sides do tahe polygon have?

Answers

Triangle - 3 Sides         Square - 4 Sides

Pentagon - 5 Sides Hexagon - 6 sides

Heptagon - 7 Sides Octagon - 8 Sides

Nonagon - 9 Sides Decagon - 10 Sides

Answer:

Triangle 3

Quadrilateral 4

Pentagon 5

Hexagon 6

I didn't mean to press that answer but please help.

Answers

Answer:

D

Step-by-step explanation:

There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.

We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.

We are now left with:

Square and rhombus.

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2​

Answers

Answer:

[tex]2( {x + 7})^{2} + 5[/tex]

Step-by-step explanation:

Our Standard form for each of these transformations is

[tex]a( {x + h)}^{2} + k[/tex]

Insert each value into the appropriate.

K is for vertical movement

h is for horizontal

a is for stretching/compression

x-7y=4,5x-4y=-11 solve system of equations by substitution

Answers

What kind of triangle is this?

Answers

Answer:

answer: obtuse

Step-by-step explanation:

Hope that helps!

Obtuse, because it has an angle greater than 90 degrees.

Which of the relations given by the following sets of ordered pairs is not a function?

HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU

Answers

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte  and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)

Answers

Answer:

A. -6,-36

Step-by-step explanation:

Right on EDG 2021.

The vertex of the function f(x) = x² + 12x is (-6, -36).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

f(x) = x² + 12x

Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))

Here, a = 1, b = 12 and c = 0

-b/2a = -12 / 2 = -6

f(-b/2a) = f(-6)

            = (-6)² + (12 × -6)

            = 36 - 72

            = -36

Hence the vertex of the given function is (-6, -36).

Learn more about Quadratic Functions here :

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You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?

Answers

230.12 I think not sure :)

BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED

Answers

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation:

Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?

Answers

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answers

Answer:

b

Step-by-step explanation:

translate the sentence into an equation.

six more than the product of a number and 3 equals 4


use the variable x for the unknown number. ​

Answers

Answer:

6 + 3x = 4

Step-by-step explanation:

6 + 3x = 4

More means addition: 6 +

Product means multiplication: 3 × x = 3x

Equals means an equal sign: = 4

To solve for x, isolate the variable:

6 + 3x = 4

3x = -2

x = -2/3

find the area of a trapezoid

Answers

Answer:

the right answer is

270 squared unit

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?

At _ hours, both waiters will charge the same amount, $_.

Answers

In 7 hours it will be 92 dollars

HELP PLEASE Find the slope of the linear model​

Answers

Answer:

Take two values

31.5-27/1= 4.5

Hence slope is 4.5x

Katniss is a good hunter, gatherer, and caretaker.

Simple or Compound? And why...

Answers

Answer:

It is compound because it is explaining

Step-by-step explanation:

Answer:

Simple, It's As Simple As Possible

hello please help i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation: it the only one make scence

Answer:

Abiotic would be the correct answer!

Hope this helps!

help please it would be very much appreciated!!!!!!
thank you

Answers

Should be a!

26^2 - 22^2 = 192, take the sqrt of that C:
It could help the numbers, by 1,2,3. Subtract the 2 from each side and that’s will be your answer.

A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?

Answers

Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Total number of people in Texas = 275

Total number of people in California = 150

Total number of people in California and preferring brand B = 54

Probability of people in California,

P(California) = Number of people in California / Total number of people

⇒ [tex]\frac{150}{275}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

Probability of people in California and preferring brand B

P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B

⇒ [tex]\frac{54}{99}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

In the data provided, each event is not dependent on other events.

Thus they are independent events.

Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

Learn more about probability here

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Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d

Answers

Answer:

[tex]c = -6[/tex]

[tex]d = -1[/tex]

Step-by-step explanation:

Given

See attachment for grid

Required

Find c and d

From the attachment, we have:

[tex]a = (3,5)[/tex] --- Point on A

[tex]a' = (-3,-6)[/tex] --- Corresponding point on B

When A is reflected across the x-axis, the rule is:

[tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex](3,5) \to (3,-5)[/tex]

Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]

This is calculated using:

[tex]3 + c = -3[/tex]

and

[tex]-5 + d = -6[/tex]

So, we have:

[tex]3 + c = -3[/tex]

[tex]c = -3-3[/tex]

---- i.e. Shift by 6 units to the left

[tex]-5 + d = -6[/tex]

[tex]d = 5 - 6[/tex]

[tex]d = -1[/tex]  --- i.e. Shift by 1 unit down

find the surface area

Answers

Answer:

aww you had my question opennnn

Step-by-step explanation:

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