9. Which of the following triplets are Pythagorean?
(i) (10,24,26)
(ii) (14,48,50)
(iii) (18,79,82)
(iv) (22,120,122)​

Answers

Answer 1

Answer:

i, ii, iv

Step-by-step explanation:

A Pythagorean triplet satisfies the relation:

[tex]\boxed{a^2+b^2=c^2}[/tex]

[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]

[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]

[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]

[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]


Related Questions

What is the value of |3|?

Answers

Are you wanting the absolute value of 3 if so it's just 3

If a1=5 and an= -5an-1 then find the value of a5.



Answers

Answer:

The value of a5 is 3125

Step-by-step explanation:

Recursive Sequence

It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.

The sequence is given as:

[tex]a_1=5[/tex]

[tex]a_n=-5a_{n-1}[/tex]

To find the value of a5, we need to find the previous terms first:

[tex]a_2=-5a_{1}=-5*5=-25[/tex]

[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]

[tex]a_4=-5a_{3}=-5*125=-625[/tex]

[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]

The value of a5 is 3125

y = x2 + 13
Non linear or linear

Answers

Answer:

linear

Step-by-step explanation:

as it has X2 +..... something in it

find the slope of the line (3,4) , (6,0)

Answers

Answer: its a negative slope and its -4/3

Step-by-step explanation:

hope this helped you

The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 2 miles?

Answers

Answer:

1.5 inches

Step-by-step explanation:

half of four miles so half of 3 inches

It would be 1.5 miles then I’m pretty sure

Determine the value of the rest of the angles

Answers

Answer:

2, 5, 6 are all 154

1, 3, 4, and 7 are all 26

(2x + 3y) + (4x - 3y) = 11+(-5)
Which of the following is equivalent to the equation above?
A. 6x=10
B. 6x=16
C. 6x+6y=6
D. 6x+6y=16

Answers

Answer:

The correct option should have been [tex]6x=6[/tex].

Step-by-step explanation:

Given the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

solving the expression

[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]

Remove parentheses:  (a) = a

[tex]2x+3y+4x-3y=11-5[/tex]

Group like terms

[tex]3y-3y+2x+4x=11-5[/tex]

Add similar elements

[tex]6x=6[/tex]

It is clear that not a single given option is [tex]6x=6[/tex]. It means no option is correct. It seems you mistyped the correct options.

The correct option should have been [tex]6x=6[/tex].

Solve and graph the compound inequality:
5C + 3 < 28 and -4C – 2 14

Answers

5 C + 3 < 28 a - 4 C - 214

a>9c +31

------------

28. 4

C >28a-21

------

9

Answer:

c < 5 or c <= -4

Step-by-step explanation:

apek

Find the slope of the line between (-7, -2) and (9, 4)
A, B, C, or D?

A) M=-3/8

B) M=3/8

C) M=6/17

D) M=2/5

Answers

Answer:

dufenschmertz evil incorporated...

Step-by-step explanation:

after hours ;)

oh ma goawd he on x gaems mode

Task 3

please pa answer na po ngayun (个_个)

Directions: Find the quotient.

1) 75.36 ÷ 0.24 =

2) 1.536 ÷ 0.3 =

3) 6.705 ÷ 0.45 = =

4) 1.875 ÷ 0.05 =

5) 6.048 ÷ 0.8 =

Task 4

Directions: Find the quotient.

1) 1.6 5.136 2) 2.8 7.364

4) 4.8 83.52

3) 3.6 65.52

5) 5.6 3.136​

Answers

Answer:

eue8whiwhwihdhd123456789101122334

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

It’s the angle 3 and 7

Take half of the input, 30, and subtract 10. What is the output?

Answers

5 because half of 30 is 15 minus 10 is 5
It’s 5 because it says take half of 30 which is 15 and minus 10 which is 5 I know I am kinda late to answer this question

I need help real quick!!!!!!1

Answers

Answer:

1. 9

2. 8

3. 16

4. 20

5. 27

6. 6

7. 54

8. 70

9. 24

10. 20

11. 15

12. 42

13. 25

14. 44

15. 28

16. 66

17. 36

18. 60

19. 16

20. 9

21. 18

22. 30

23. 4

24. 9

25. <

26. >

27. <

28. =

29. >

30. =

31. >

32. <

Step-by-step explanation:

Math

Can i have brainliest?

HELP ASAP GIVING BRAINLIEST


Solve for x in the diagram below

Answers

Answer:

Step-by-step explanation:

60=x+45

x=15

Each lap around the park is 0.58 mile. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?

Answers

Answer:

5 miles but she did walk part of another mile so that would be 5.35.

Step-by-step explanation:

you can take 3.25 and subtract that by 0.58 until you can't do it anymore. Also I didn't know if you wanted the exact amount which would be 5.35 but total miles is only 5. Hope this helps!

Determine if segments AB and CD are parallel, perpendicular, or neither. AB formed by A(3,8) and B(-6,5) CD formed by C(-6,7) and D(-3,8)

Answers

Answer:

They are parallel

Step-by-step explanation:

(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)

AB: 1/3 slope       (Full formula y=1/3x+7)

(-6,7)(-3,8) --->  8-7 over -3-(-6) = 1/3

CD: 1/3 slope      (Full formula y=1/3x +9)

They have the same slope so they are parallel


22. The cost of renting a pickup truck at Company A is $25 plus 15 cents per mile driven. The cost ol
Renting a truck at Company B is $25 plus 10 cents per mile driven. In the graph of the cost of a
Truck rental, what does the cost per mile driven represent?

A The point of intersection

B The y-intercept

C The x-intercept

D The slope

Answers

Answer:

D. The slope

Step-by-step explanation:

0.15 = 3/20

0.10 = 1/10

Given:

  company A:    y = 3/20x + 25

  company B:    y = 1/10x + 25

y = mx + b

m is slope

b is y-intercept

A local florist charges $15 for delivery plus $2.75 per flower for all flower arrangements. When Marcus got the bill for a flower arrangement he ordered, it was less than $50. Which of the following could not represent the number of flowers in the arrangement Marcus ordered?

Answers

Answer:

Step-by-step explanation:

Step one:

given

All Charges

$15 for delivery

and $2.75 per flower

let the number of flowers delivered be x

and the total charges for x flowers be y

the linear function for the total charges is

y=2.75x+15

Step two:

when y=$50

50=2.75x+15

50-15=2.75x

35=2.75x

divide both sides by 2.75

x=35/2.75

x=12.72

Note: we are not given the options. We only solved for the flower arrangements

Therefore the number of flowers in the arrangement Marcus ordered

is 12.72 flowers

What is the distance between -15.5 and -8.7?

A: 24.2
B:7.2.
C. 6.8
D. -24.2

Answers

B. 7.2

Step-by-step explanation:

-15.5+7.2=(-8.7) and vice versa.

What are some other ways the answer can be determined ( other than Multiplication)

Will mark and 5 STARS, THANKS

Answers

By dividing I think


Find the sum of 2.005, 35.7 and 406​

Answers

Answer:

443.705

Step-by-step explanation:

443.705 is the sum of numbers

help me please!!! anything will help.

Answers

3^-6*3^2



Explanation:

When you combine exponents using multiplication of the coefficient, you would add the exponents and since -6+2=-4 that would be your answer.

The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the same height but is longer in length by 3 units and wider by 2 units.

Answers

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

Moira is a teacher, and she drives to school and back every day from her home. It is 32 miles from her home to work.

How far does Moira drive roundtrip in 5 work days?

Answers

Answer:

Here is the answer 160 miles

Step-by-step explanation:

If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320

En la regla de la potencia, durante el proceso de integración, se ________ 1 al exponente, mientras que en la derivación se ________ 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa ________. Al último, agregamos la letra c, que significa constante" *

Answers

Answer:

a) adiciona, b) sustrae, c) multiplicando.

Step-by-step explanation:

A continuación, presentamos la respuesta correcta al ejercicio citado:

En la regla de la potencia, durante el proceso de integración, se adiciona 1 al exponente, mientras que en la derivación se sustrae 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa multiplicando. Al último, agregamos la letra C, que significa constante.

Razones

Derivación de una función potencial:

[tex]\frac{d}{dx}(x^{n}) = n\cdot x^{n-1}, n\ne 0[/tex]

Integración de una función potencial:

[tex]\int {x^{n}} \, dx = \frac{x^{n+1}}{n+1}+C,x\ne -1[/tex]

Help is Geometry find x​

Answers

Answer:

x=64

Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64

The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95

Answers

Answer:

f(x) = .05x; $5.50

Step-by-step explanation:

f(x) = .05x

f(110) = .05(110) = $5.50

You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the dimensions of the room, he tells you the dimensions in rational expressions. The length of the room is fraction numerator x squared minus x minus 6 over denominator x minus 5 end fractionand the width of the room is fraction numerator x squared minus 6 x plus 5 over denominator x plus 2 end fraction. What is the area of the room in terms of x? How much carpet do you need if x = 10?

Answers

Answer:

[tex]x^2-4x+3[/tex]

[tex]63\ \text{sq. units}[/tex]

Step-by-step explanation:

l = Length = [tex]\dfrac{x^2-x-6}{x-5}[/tex]

w = Width = [tex]\dfrac{x^2-6x+5}{x+2}[/tex]

Area is given by

[tex]A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3[/tex]

Area of the room is [tex]x^2-4x+3[/tex].

If [tex]x=10[/tex]

Area of the room

[tex]A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}[/tex]

So, the amount of carpet needed would be [tex]63\ \text{sq. units}[/tex].

Jason and Bailey found a venue for their wedding. The venue requires a $500 deposit to hold the venue for a certain date. If this was 10% of the cost of the venue, how much will Jason and Bailey pay for the venue?

Answers

Answer:

$5,000

Step-by-step explanation:

Step one:

given

initial deposite= $500

10% of the venue is $500

let the cost of the venue be x

Required

cost of the venue

10/100*x=500

0.1x=500

divide both sides by 0.1

x=500/0.1

x=$5000

Therefore the cost of the venue is $5,000

(A U B) n (A n B)
A= {1,3,7,9,10}
B= {2,5,7,8,9,10}​

Answers

Answer:

{7,9,10}

Step-by-step explanation:

(A U B) ∩ (A ∩ B)

(A U B): {1,3,7,9,10} U {2,5,7,8,9,10}​ = {1,2,3,5,7,8,9,10}

(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10}​ = {7,9,10}

(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}

Other Questions
Help meeee pleaseee!!!A stressor is a stimulus that causes stress.Select one:a. Trueb. False HELP ASAPPPP WILL MARK BRAINLIEST!!!!!!!! Which region of the United States is heavily dependent on banks, investment firms, and insurance companies? Factorise 4(x+y)(3a-b)+6(x+y)(2b-3a)Please solve this fast.Show your calculation. Greenspan Supply does not segregate sales and sales taxes at the time of sale. The register total for March 16 is $10,920. All sales are subject to a 4% sales tax. Which statement correctly compares the slopes of the two functions? OA Function fhas a slope of which makes it steeper than function g. O B. Function g has a slope of , which makes it steeper than function f. Function ghas a slope of 2, which makes it steeper than function f. O c. OD Function f has a slope of 3, which makes it steeper than function g Question 20 of 20Civilizations developed along rivers about 10,000 years ago, during theRevolution.A. Cro-MagnonB. IronC. Guns and SteelD. NeolithicNeed some help dont get it Brainelst if correct Which of the following statements is logically equivalent to: "If he studies, he will pass the course."(A) He passed the course; therefore, he studied.(B) He did not study; therefore, he will not pass the course.(C) He did not pass the course; therefore he did not study.(D) He will pass the course only if he studies.(E) None of the above. Which risk of using alcohol or drugs is mental?having heart failurehaving an inability to meet friendsgetting brain damagehaving seizures - - Reshma is making a necklace using green beads and purple beads in a ratio represented on the following double number line. Fill in the missing values on the diagram.What is the ratio value of green beads to purple beads. [Type your answer as a fraction in simplest form. Use / for the fraction bar and do not use spaces.]Ratio Value: _____________ Why do you think Mesopotamia was a good location for the growth of civilization? Drag the missing punctuation into the sentence.Her breathtakingly cruel callous actions led to herimmediate resignation. Which statement about the meaning of words is correct?Context clues help only with words that have one meaning.A dictionary is the only way to determine the meaning of a word.Context clues are never helpful for determining a words meaning.A way to determine a words meaning is to study what surrounds it. Please HelpA 1774 print depicted the tarring and feathering of Boston Commissioner of Customs John Malcolm. Tarring and feathering was a ritual of humiliation and public warning that (usually) stopped just short of serious injury.1: Do you think this was made by a British or colonial artist? Why?2: Do you think this a proper way to protest against government action? Explain. Please help I need these answers Which best explains why online retailers keep data about their customers? to ensure customers leave good reviews to prevent customers from shopping elsewhere to sell customer information to others to maintain records of customers buying habits Avery needs a total of $12.75 in quarters atthe local laundromat. She has already saved$3.25. Which equation and solution processcan be used to determine q, the number ofadditional quarters Avery needs to wash herlaundry?A) 12.75 = 5 + 3.25Subtract 3.25 from both sides and multiplythe difference by 25.B)3.25 -0.259 = 12.75Subtract 3.25 from both sides and dividethe difference by -0.25.IC)12.75 = 0.259 + 3.25Subtract 3.25 from both sides and dividethe difference by 0.25.D) 259 + 3.25 = 12.75.Subtract 3.25 from both sides and dividethe difference by 25. A. The mutation did not affect the child.3. A child is diagnosed with sickle cell disease, agenetic blood disorder. Which of the following istrue about the mutation that occurred?B. The mutation produced a beneficial effect.C. The mutation is due to the environmentD. The mutation produced a harmful effect. Which practice was the top priority for New England settlers during the early colonial era?O shipbuildingOfarmingOfishingO sewing