Find the perimeter of a parallelogram with coordinats (2,10), (4,2), (7,8)

and (-1,4).​

Answers

Answer 1

P = 2(a+b)

a = side

b = base

Answer 2

The perimeter of the parallelogram is [tex]\sqrt[2]{29}+ \sqrt[6]{6}[/tex]

Calculation of the perimeter of the parallelogram:

Since the coordinates are  (2,10), (4,2), (7,8) and (-1,4).​

Now for determining the perimeter first we have to calculate the distance of AB and BC

So,

For AB, the distance is

[tex]= \sqrt{(2-7)^2 + (10-8)^2}\\\\ = \sqrt{29}[/tex]

Now

For BC, the distance is

[tex]= \sqrt{4-7)^2 + (2-8)^2}\\\\ = \sqrt{54}\\\\= 3\sqrt{6}[/tex]

Now the perimeter is

= 2(AB + BC)

= [tex]2(\sqrt29 + 3\sqrt 6)[/tex]

= [tex]\sqrt[2]{29}+ \sqrt[6]{6}[/tex]

Therefore, The perimeter of the parallelogram is [tex]\sqrt[2]{29}+ \sqrt[6]{6}[/tex]

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Related Questions

If a tractor trailer heading away from town traveling at 86 km/hour, brakes to a stop at an acceleration of -11.25 km/hr/s. How many seconds will it take for the tractor trailer to stop?

Answers

Answer:

185

Step-by-step explanation:

The height of an art is 7 feet, and Mike guessed that it was 6.33 feet. What as the percnet of his error?

Answers

Answer:

I believe it is 90.43% rounded to the nearest hundredth.

Step-by-step explanation:

Help me with that please, please I really need help

Answers

not sure.................

What is the polar form of Negative 3 + StartRoot 3 EndRoot i?

Answers

Answer:

D on edge

Step-by-step explanation:

Got it right on edge

The polar form of the given complex number is:

[tex]W = \sqrt{12}* e^{-i*0.52}[/tex]

How to get the polar form of the complex number?

Here we have:

W = -3 + √3i

To get the polar form we first need the module of W it is:

|W| = √( (-3)^2 + (√3)^2) = √12

And now we need to find the bearing, that is given by the Arctangent of the quotient between the imaginary part and the real part.

Arctan(√3/-3) = -0.52 rad

Then the polar form is:

[tex]W = |W|*e^{-i*0.52} = \sqrt{12}* e^{-i*0.52}[/tex]

If you want to learn more about complex numbers:

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What is the factored expression of 56n - 70?

Answers

Answer:

14(4n - 5)

Step-by-step explanation:

The GCF of 56 and 70 is 14

56/14 = 4

70/14 = 5

Place the GCF outside the parenthesis

14(

and keep the n on 56 and put it on 14, = 14n,

14(4n

then keep the subtraction sign and 5 and put it in the parenthesis

14(4n - 5)

i hope that maked sense and helped you! (and could i have brainliest if possible it would really help me!)

PLZ HELP ME!!! ILL MARK BRAINLIEST!!!!!
Why is it important to understand how variables work, inequalities, and basic awareness of exponents before starting algebra?

Answers

Answer:

well algebra is basically about variables.

This is because you're assigning an equation or a number to a letter.

Exponents- that I don't really and inequalities

Sarah has two quarters in her pocket, one from Florida and one from Georgia. She
randomly pulls one quarter from her pocket, looks at it, and puts it back. Then she does this a second time. What is the probability that Sarah will select the Florida state quarter both times?
A. 1/4
B. 1/8
C. 3/4
D. 1/2

Answers

The answer is d because she only has two quarters

PLEASE HURRY I WILL GIVE THE BRAINLYEST TO THE PERSON WHO GETS THIS CORRECTLY
What are the integer solutions to the inequality below?

Answers

Answer:

3 ≤11 ≤ 11

Step-by-step explanation:

3x-4 = 2x +1

3x-5 = 2x

x-5 = 0

x= 5

3 ≤11 ≤ 11

the sides of the quadrilateral are consecutive numbers if the perimeter is 160 how long is each side?​

Answers

Answer:

two sides are 39.5, and the other two sides are 40.5

Step-by-step explanation:

x + x + x + 1 + x + 1 = 160

4x + 2 = 160

4x = 158

x = 39.5

Select all that apply.
Which set of ordered pairs represent a function?

a. {(-7,0), (9,-1),(-4,3), (-4,-2)}
b. {(-1,3), (-10,-5),(-1,-6),(-1, -2)}
c. {(-9,-5), (6,-9), (6, -10), (6, 7)}
d. {(3,3), (3, -1),(3,5), (3,7)}
e. None of the above

Answers

Answer:

c. none of the above

Step-by-step explanation:

E none of the above most are repeating in each row

35 + z =500 help me

Answers

Answer:

465

Step-by-step:

500-35=465

465

You get this by taking 500 and subtracting 35. Then to check you add your answer to 35 and see if it adds up which it does

18) 5x + 4y= -30
3x-9y= -18

Answers

1) If it is a function it equals x=6
2) If this one is also a function it would be x= -6

Please give a little more information so I can help you more!!!

Please help me w this

Answers

Answer:

vertical

adjacent

linear

Step-by-step explanation:

How much fencing woul you need to enclose a circular pond with diameter 12 feet use 3.14 for pi. Choices are in the image. PLEASE HELP​

Answers

Answer:

37.68

Step-by-step explanation:

3. Find the product 5(18) in two ways using the distributive property:
(a) 5(10+8)=
(b) 5(20-2)=

Answers

Answer:A. 90 B.90

Step-by-step explanation:

They are the same but wrote differently

6. Find the sum or difference
1/3(9 - 6m) + 1/4 (12m-8)

Answers

Answer:

m+1

Step-by-step explanation:

1/3(9 - 6m) + 1/4 (12m-8)

Distribute

1/3 *9  - 1/3 *6m  + 1/4 * 12m - 1/4 *8

3 -2m + 3m -2

Combine like terms

-2m+3m +3-2

m+1

I need help pls, thank you, friends :)

Answers

Answer: No, the scenario won't earn you enough money

====================================================

Explanation:

You work 4 hours with your uncle, at $8 an hour, so that means you earn 4*8 = 32 dollars.

You work 12 hours online, at $4 an hour, so you earn 12*4 = 48 dollars.

In total, you earn 32+48 = 80 dollars overall when combining the two lines of work.

The total 80 is smaller than 120, so this scenario isn't possible if you want to aim for $120 or more. You'll need to work more hours somehow.

4р — 5 (p + 6) =

I need help solving this question

Answers

ANSWER
-p-30

STEP BY STEP:
-Distribute
-Combine like terms
-Simplify

Hope this helps :)

sooo the answer is: - p -30

4p - 5 (p + 6)

first we distribute:

4p + (-5)(p) +  (-5)(6)

4p + -5p + -30

combine like terms:

(4p + -5p) +( -30)

          -p  +  -30

        =  -p -30

At the same time of day, a man who is 75 inches tall casts a 50-inch shadow and his son casts a 22-inch shadow. What is the son's height?

Answers

Answer: i think its 55 but im not sure

Answer:

33 inches tall (see below)

Step-by-step explanation:

You can make a ratio to simplify the situation:

  75 in. tall                 x in. tall

----------------------  =  ---------------------

50 in. shadow       22 in. shadow

Cross multiply:

75 (22) = 50 (x)

1650 = 50x

33 = x

x = 33 in. tall

ASAP
What is net plz help due today

Answers

Answer: .NET Framework is a software framework developed by Microsoft that runs primarily on Microsoft Windows. It includes a large class library called Framework Class Library and provides language interoperability across several programming languages.

Answer:

Net is a two-dimensional pattern of a three-dimensional figure that can be folded to form the figure. In other words, net is a flattened three-dimensional figure which can be turned into the solid by folding it.

Step-by-step explanation:

like this image right here

Find the value of x, what makes r parallel to s

Answers

Answer:

a. x = 14 (see explanation)

b. the arrows along the lines

Step-by-step explanation:

The relationship of these two expressions is Same Side, which means their sum is 180.

plugging in

108 + 4x + 16 = 180 | Given

124 + 4x = 180 | Add the numbers

4x = 56 | Subtract 124 from both sides

x = 14 | Divide both sides by 4

is 64ft close to 100.48ft or 401.92ft or 200.96ft or 3,215.36ft

Answers

64ft is closer to 100.48ft (because there is a shorter distance between them on a number line).

Which of these was part of the home front? i will give you brainline if you solve it
a family farm
an army camp
a battlefield
a warship at sea

Answers

It’s either the family farm or the army camp, they are the only two at the “home front”. All the rest are just off in different places

75a + 25b = ___a+b)
A 25 (3a +b)
B 3 (25a +b)
C 25( a + b)
D 3(25ab)

Answers

Answer:A

Step-by-step explanation:

25 times 3a equals 75a+ 25b when distributed

The expression 75a + 25b can be rewritten by taking 25 commons as 25 (3a + b), so option A is correct.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

75a + 25b = _(a+b)

Factorize the numbers 25 and 75 as shown below,

25 = 5 × 5

75 = 3 × 5 × 5

As you can see that the GCF of the 25 and 75 is 5 × 5 = 25,

Take 25 commons from the expression 75a + 25b as shown below,

25 (3a + b)

Thus, 75a + 25b = 25 (3a + b).

To know more about the expression:

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HELP PLEASE!!!
Sandra wrote the sequence shown.

3, 6, 11, 18, 27, …
What explicit expression can be used to find the nth term of this sequence?

A.
3n + 2(n – 1)

B.
n^2 + 2

C.
3n + 12

D.
3n^2 – 6

Answers

The explicit expression that should be used to find the nth term of this sequence is option A.

What is an expression?

In terms of math, the expression refers to the combination of the numbers, variables, functions also it is somewhat the same as the phrases. Here functions involved addition, subtraction, multiplication, or division.

Since the sequence is like 3, 6, 11, 18, 27, …

So here the expression should be 3n + 2(n – 1)

Therefore, we can say that The explicit expression that should be used to find the nth term of this sequence is option A.

Hence, the other options are wrong.

Learn more about expression here: https://brainly.com/question/1673286

the diameter of a billboard ball is approximately 6 cm. what is the volume? round your answer to the nearest whole number.

Answers

Answer:

113 cm

Step-by-step explanation:

V=4/3pi(3)^3

There are 9 teachers and 5 aides at the Hills Elementary School. What is the ratio of teachers to all adults?​

Answers

Answer:

C. [tex]\frac{9}{14}[/tex] , 9:14 , or 9 to 14

Step-by-step explanation:

With there being 9 teachers and 5 aides, the total number of adults is 14, leaving a fraction of [tex]\frac{9}{14}[/tex] , 9 teachers and 14 adults. Checking to simplify, there are no shared values by 9 and 14, so it is in it's simplest form.

-3 ( x – 3) = 9 – 3x

please help its due today

Answers

Answer:

All real numbers

Step-by-step explanation:

Answer:

x-3=9-3x=x=3

Step-by-step explanation:

Use the given functions to set up and simplify -3. -3 =

Jamie took 12 hours to read a 360 page book. How many pages does Jamie read per hour?

Answers

Answer:The required time taken by her to read a 400 page book is 13 hours and 20 minutes.

Step-by-step explanation:Given that Lauren took 12 hours to read a 360 page book.

We are to find the time taken by her to read 400 page book at the same rate.

We will be using the UNITARY method to solve the problem.

We have

Time taken by Lauren to read 360 page book = 12 hours.

So, the time taken by Lauren to read 1 page book will be

Therefore, the time taken by Lauren to read a 400 page book is given by

Thus, the required time taken by her to read a 400 page book is 13 hours and 20 minutes.

Find the equation of the line shown

Answers

Answer:

Step-by-step explanation:

Slope is obviously 1, and y-intercept is 1

y = x + 1

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