If (x, 68, 85) form a Pythagorean Triple, what is the value of x?

Answers

Answer 1

Answer:

x = 51

Step-by-step explanation:

If (x, 68, 85) form a Pythagorean Triple, what is the value of x?

to solve we again use Pythagoras, x is the smallest number, so 68 is a cathetus and 85 the hypotenuse

x = √(85²- 68²)

x = (7225 - 4624)

x = √2601

x = 51

Answer 2

Answer:

  x = 51

Step-by-step explanation:

The missing value of the Pythagorean triple can be found using the Pythagorean theorem, or it can be found by comparing the values in the triple to known triples.

What are Pythagorean triples?

A Pythagorean triple is a set of integers {a, b, c} that satisfy the equation of the Pythagorean theorem:

  a² +b² = c²

The smallest such triple is {3, 4, 5}. It is also the only triple that is an arithmetic sequence. Other triples of small integers are ...

  {5, 12, 13}, {7, 24, 25}, {8, 15, 17}

There are an infinite number of "primitive" Pythagorean triples, ones that are not multiples of another triple.

What is this triple?

The given values of the triple have the ratio ...

  68/85 = (4·17)/(5·17) = 4/5

Only the values in the {3, 4, 5} triple and its multiples will have this ratio.

The value of x is 3·17 = 51, so the triple is {51, 68, 85}.

  x = 51

__

Additional comments

Any primitive triple will have two odd numbers.

The ratios of numbers in a primitive triple are unique to that triple. That is, the numbers are mutually prime.

For any pair of positive integers m > n, there is a Pythagorean triple {2mn, m²-n², m²+n²}. Such triples will not be primitive if m and n have the same parity.

__

The above triple can be verified using the Pythagorean theorem:

  51² +68² = 2601 +4624 = 7225 = 85²


Related Questions

What is the perimeter of the shape below, given a = 5.66, b = 13.75, c = 6.76, d = 4.59

Answers

Answer:

61.52

Step-by-step explanation:

5.66+ 13.75 + 6.76 + 4.59 + 5.66+ 6.76 + 13.75 +4.59

Answer:

61.52

Step-by-step explanation:

Given the values, you can solve for the remaining sides.

a + c will equal the side on the right and b + d will equal the side at the top.

So 2(a+c) + 2(b+d) will give the perimeter.

2(5.66+6.76) + 2(13.75+4.59) = 24.84 + 36.68 = 61.52

How to do two step equations?

Answers

Answer:1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.


Using the addition or subtraction property, write the equation with all terms containing the unknown in one member and all terms not containing the unknown in the other.

PLEASE HELP DUE TODAY WILL GIVE BRAINLIEST TO CORRECT ANSWER

After a few mathletes join the team, the team is able to solve 40% more problems per session. Of the team can solve 42 problems per session now, how many problem were they able to solve before the new mathletes joined?

Answers

Step-by-step explanation:

the answer is 16.8 :)hope this helps

Answer: 30 :) have a nice day!!!

please answer the above question​

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70
Since 35 is an angle at the circumference

Pls help me I’ll brainlest I need a good grade on this

Answers

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The graph of the function f is shown. f(3) =

Answers

Answer: f(3) is 5.

Step-by-step explanation:

The value of the function f(3) is 5 from the given graph.

What is a function?

A relation is a function if it has only One y-value for each x-value.

We have to find the value of f(3) from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The value of f(3) is 5.

To find this we have to draw a perpendicular line at x=3.

Now let us check the corresponding point of y where the point and perpendicular line intersect.

Hence, the value of the function f(3) is 5 from the given graph.

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Asking for a friend please help

Answers

Answer:

=1/15

Step-by-step explanation:

this is the answer is = 1/15 hope this helps your friend out!

for an art project ,Mrs.Williams is dividing construction paper into fourths. how many Fourths can she make from 5 pieces of construction paper?


if you answer you'll be a Brainliest

Answers

Answer:

20

Step-by-step explanation:

5 times 4 = 20

54 is 60% of what number? Enter your answer in the box.


PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

90

Step-by-step explanation:

you do 54 ÷ 60% = 90

check:

60% of 90 is 54 .

can I have brainliest.

The Answer XX

The Other Person Shouldn't Have Answered You Said You'd Give Brainliest And Then You Turn Around And Say You Don't Know How You Are Messed Up That Is Sad You Can Tell You Only Wanted The Answer And I'm Not Giving You The Answer To Confirm It Your Messed Up And You Are Also SELFISH

And Go Ahead And Go Off On Me Ill bLaSt Yo AyAs

Can someone help me?

Answers

Answer:

Step-by-step explanation:

5y-7=5d+3y

we will subtract 3y from both sides

5y-3y-7=5d

we will add 7 on both sides

2y=5d+7

we divide by 2

y=(5d+7)/2

or

y=5d/2+7/2

Answer:


Y= 5d/2+7/2

The flight path of a plane is a straight line from city J to city K. The roads from city J to city K run 9.4 miles south and then 15.1 miles east. How many degrees east of south is the plane's flight path, to the nearest tenth?​

Answers

Answer:

Step-by-step explanation:

[tex]tan\theta =15.1/9.4\\ \\ \theta =tan^{-1}(15.1/9.4)\\ \\ \theta \approx 58.1^o[/tex]

Answer:

Step-by-step explanation:

Two teams of students are testing the effect of light on a radiometer. Team 1 finds that blue light makes the radiometer spin slower when a blue light is 35 centimeters (cm) away. To validate Team 1's test results, how must Team 2 test the radiometer?

Answers

Answer:

eafyb jdgjn sfh sg jddxhu fiuecbjz sghvhl

Answer:

It is Test it with a blue light that is 45 cm away.

Step-by-step explanation: Because it is right and I did this with my teacher and it is Test it with a blue light that is 45 cm away. hehe

The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.

Answers

Answer:

41.91 is your answer right answer

Factor the following expression so it is in simplest form.

6a – 4(2a + 3)

A.
–2(a – 6)


B.
–2(a + 6)


C.
2(7a – 6)


D.
2(7a + 6)

Answers

Factorization of the given algebraic expression in its' simplest form is; B.–2(a + 6)

How to factorize an Algebraic Expression?

To factorize an algebraic expression, it means that the highest common factors of the terms of the specific algebraic expression are determined and then we group the terms accordingly.

We are given the algebraic expression as;

6a – 4(2a + 3)

Multiplying the bracket out gives us;

6a - 4(2a) - 4(3)

= 6a - 8a - 12

= -2a - 12

Now, the highest common factor of the expression is 2 and so we have;

-2(a + 6)

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-2(4x – 3) = 10
Can someone help me with this math problem please

Answers

Answer:

-1/2

Step-by-step explanation:

-2(4x - 3) = 10

First distribute the -2 to 4x and -3; it turns into

-8x + 6 = 10

The subtract 6 on both sides which equals

-8x = 4

Then divide -8 on both sides...

x = -4/8 or -1/2

When 2 dice are rolled, the sum of both faces is calculated. Determine the
probability of the event: Rolling a sum of 10. Justify your answer.

Answers

Answer:

3/36 or 1/12

Step-by-step explanation:

there are a possible 36 outcomes

probability of rolling a ten has 3 chances of happening:

5, 5

4, 6

6, 4

please helppp

Simplify.
(-2)^-3

Answers

Answer:

-1/8   <----- FRACTION

Step-by-step explanation:

-1/8
To simplify, first flip the term to the denominator to get rid of the negative exponent. Then simplify 1/-2^3. This equals 1/-8 because -2^3 is the same as -2*-2*-2, which is -8.

4x-3y=20
2x+y=30
Use the two equations above, solve for y.

Answers

Answer:

y=8

Step-by-step explanation:

Answer:

4×-3y=20

Step-by-step explanation:

chose the top one

At a garage sale, a large bin full of DVDs and CDs are being sold. All the DVDs are the same price, and all the CDs are the same price.

Aleah buys 2 DVDs for $6 and 4 CDs for $8. Her friend, Ling, wants to buy 4 DVDs and 2 CDs. How much will Ling have to pay?

Aleah's brother, Pierre, wants to spend $20 on DVDs and CDs. What combination of DVDs and CDs could he buy?

Answers

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Ling bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

Please I need help asap Which graph represents a scatter plot with a nonlinear negative association?

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

3/2+b=7/4 need help now

Answers

[tex]Answer:\\\\frac{3}{2} + b = \frac{7}{4}\\\\b = \frac{7}{4} - \frac{3}{2}\\\\b = \frac{7}{4} - \frac{6}{4} \\\\b = \frac{7-6}{4}\\\\b = \frac{1}{4}\\\\Hope \ it \ helps![/tex]

Please I need helppppp

Answers

Answer:

Both correct choices are C, so you are right.

Step-by-step explanation:

All points listed fit on the line y = 0.3x, so the data is perfectly linear.

Is this correct? Geometry Math Question

Answers

QW= 140°

hope that helped^^

2?////////////////////////////////////////////////

Answers

Answer:

2...........???

Step-by-step explanation:

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Answers

The mid point is 4.5 or 4 and 5 depending on how they wnat u to answer

Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *

Answers

Answer:

I think it is A that will take longer but im not 100 percent sure

Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

Then you need to plug numbers in for x

–5(–2) also i checked and apparently its not -7

Answers

Answer:

Im pretty sure you need to multiply answer is 10

Step-by-step explanation:

because the -5and -2 are right next to each other and if -7 doesn't work thats the next best thing.

Find area of composite figure 6m 10m 8m

Answers

Answer: 24

Step-by-step explanation:

Basically you just need to add them simply breaking them up then adding them

Write the phrase "the sum of a number and twenty-three less than that number" as a mathematical expression.

A) x + 23

B) x ⋅ 23

C) x – 23

D) x + (x – 23)

Answers

Answer:

D

Step-by-step explanation:

The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)

I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps

Answer:

D

Step-by-step explanation:

Anyone know any music artists similar to conan gray ? ​

Answers

Dababy is similar to Conan gray

Answer:

Lorde, Gracie Abrams, and a few Taylor Swift songs, and if you're looking for new musicians to get into that are underrated you should definitely try Hozier, and Phoebe Bridgers.

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