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


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Answer:

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Step-by-step explanation:

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Factor the following expression so it is in simplest form.

6a – 4(2a + 3)

A.
–2(a – 6)


B.
–2(a + 6)


C.
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D.
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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;

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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:

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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.

Is this correct? Geometry Math Question

Answers

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

Answers

Answer:

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

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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4x-3y=20
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Answers

Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

a

Step-by-step explanation:

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

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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.

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:

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Step-by-step explanation:

First write an equation:

Location A-   800+100x

Location B-  1200+200x

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Step-by-step explanation:

Answer:

12

Step-by-step explanation:

How to do two step equations?

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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.


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70
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if you answer you'll be a Brainliest

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Step-by-step explanation:

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Step-by-step explanation:

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Anyone know any music artists similar to conan gray ? ​

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Dababy is similar to Conan gray

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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.

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?

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

61.52

Step-by-step explanation:

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

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When 2 dice are rolled, the sum of both faces is calculated. Determine the
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Answers

Answer:

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Answer:

eafyb jdgjn sfh sg jddxhu fiuecbjz sghvhl

Answer:

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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]

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PLZ HELP I WILL GIVE BRAINLIEST

Answers

Answer:

90

Step-by-step explanation:

you do 54 ÷ 60% = 90

check:

60% of 90 is 54 .

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The Answer XX

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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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:

-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

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