What is the definition of a Pythagorean triple?

Answers

Answer 1

Answer:

a set of numbers that are used to find the hypotenuse

Step-by-step explanation:

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Answer 2

The integer solutions to the Pythagorean theorem, are called Pythagoras triples.

Definition of Pythagorean Triples:

The integer solutions to the Pythagorean theorem, [tex]a^{2} +b^{2} =c^{2}[/tex] are called Pythagorean triples which contains three positive integers a, b and c.

For example:

(3, 4, 5)

By evaluating we get

[tex]3^{2} +4^{2} =5^{2}[/tex]

⇒ 9 + 16 = 25

Hence, 3, 4 and 5 are Pythagorean triples.

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Related Questions

Solve the equation, 3x – 6 = 12, for x. Which of the following properties did you apply? Question 2 options: A) Addition property of equality and multiplication property of equality B) Addition property of equality and division property of equality C) Distributive property, subtraction property of equality, and multiplication property of equality D) Distributive property, addition property of equality, and division property of equality

Answers

Add -6 to 12 that anwser is b

What is the value of x?
13 m
15 m

Answers

Answer:

which one?

Step-by-step explanation:

A company promises to release a new smartphone model every month. Each model's battery life will be 5% longer than the previous model's. If the current model's battery life is 663.0 minutes, what will the latest model's battery life be 7 months from now?​

Answers

Answer:

895.05

Step-by-step explanation:

5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.

The answer is 895.05

to get to a library you must travel 1/2 mi down one street, 3/5 mi down another street and 1 1/10 mi down a third street. How many miles did you travel total to get to the library?

Answers

Answer:

11/5mi or 2.2mi

Step-by-step explanation:

1/2 +3/5 +11/10 =11/5mi

Hey there!

0.5 + 0.6 + 1.1 = 2.2

Total miles = 2.2mi

The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

9x^2 - 12x + 4

A. True

B. False

Answers

Answer:

True

Step-by-step explanation:

[tex]9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2[/tex]

Exercise #5: Quadrilateral EFGH has vertices at E(-6,2), F(3,8), G(7,2), and H(-2,-4).

Calculate the slopes of all four sides of EFGH. Use these slopes to prove that EFGH is a rectangle.

Answers

Answer:

The slope of both EF and GH are 2/3

The slope of both FG and EH are -3/2

You can see that these slopes are perpendicular, forming a rectangle

Step-by-step explanation:

To find slope use the slope formula: y1 - y2 / x1 - x2

so first:

8 - 2 / 3 - (-6) = 2/3

(-4) - 2 / (-2) - 7 = 2/3

Then:

8 - 2 / 3 - 7 = -3/2

2 - (-4) / (-6) - (-2) = -3/2

If z varies directly with the square of x and inversely with the cube of y, when x = 8, y = 2, and z = 12, what is x when y = 1 and z = 24?
PLEASE HELP!!! :))))

Answers

Step-by-step explanation:

it just means

z = k×x²/y³

12 = k×8²/2³ = k×64/8 = k×8

k = 12/8 = 3/2

24 = k×x²/1³ = 3/2 × x²/1 = 3/2 × x²

24/(3/2) = x²

48/3 = x²

16 = x²

x = 4 or

x = -4

Find the average of this set of numbers.28, 26, 21, 13
A) 22
B) 20
C) 19
D) none of the above

Answers

Answer:

A

Step-by-step explanation:

26 + 28 = 54

54 + 21 = 75

75 + 13 = 88

88 / 4 = 22

Answer is A

Answer: 22

Step-by-step explanation: Add all of the numbers in the data set: 28+26+21+13= 88

Then divide 88 by 4: 22

Find the missing number if the average is 8.8 and _____
A) 4
B) 8
C) 12
D) none of the above

Answers

Answer:

none of the above

Step-by-step explanation:

Let us call x the smallest integer. Because the next two numbers are consecutive even integers, we can call represent them as x + 2 and x + 4. We are told the sum of x, x+2, and x+4 is equal to 72.

x + (x + 2) + (x + 4) = 72

3x + 6 = 72

3x = 66

x = 22.

This means that the integers are 22, 24, and 26. The question asks us for the product of these numbers, which is 22(24)(26) = 13728.

The answer is 13728.

WILL MARK BRAINLIEST
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-6= -5(x-3)

Answers

y - 6 = - 5 * x - 5 * (-3)

y - 6 = -5x + 15

y + 5x = 15 + 6

5x + y = 21

Answer:

5x + y = 21.

Step-by-step explanation:

y - 6 = -5(x - 3)

y - 6 = -5x + 15

5x + y - 6 = 15

5x + y = 15 + 6

5x + y = 21.

Given the function
[tex]f(x) = (x + 4){(x - 2)}^{2} [/tex]
Determine the end behavior of the graph of the function. Show all/any work​

Answers

[tex]lim \: f(x) = ( \infty + 4)( \infty - 2) {}^{2} \\ x - > \infty [/tex]

[tex]lim \: f(x) = \infty \times \infty \\ x - > \infty [/tex]

[tex]lim \: f(x)= \infty \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = \frac{x(1 - \frac{4}{x})(x - 2) {}^{2} }{x} \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = (1)( \infty - 2) {}^{2} \\ x - > \infty [/tex]

[tex]lim \: \frac{f(x)}{x} = \infty \\ x - > \infty [/tex]

We can then say that the function f(x)=(x-4)(x-2)² admits an asymptotic direction parallel to the y-axis at + and - as well since we have to follow the same steps.

Find the question. 1/3 +(5/7)=

Answers

Answer:

22/21

Step-by-step explanation:

1/3 + 5/7

LCM of 3,7 = 3 x 7 = 21

1/3

= 1/3 x 7/7

= ( 1 x 7 )/( 3 x 7 )

= 7/21

5/7

= 5/7 x 3/3

= ( 5 x 3 )/( 7 x 3 )

= 15/21

1/3 + 5/7

= 7/21 + 15/21

= ( 7 + 15 )/21

= 22/21

22/21 is the answer I think

draw a diagram and explain how you can use it to find 3 ÷ 1/5​

Answers

Answer:

3/1/5

3×5/1

15/1

15 you don't need diagram

If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?

Answers

Answer:

76%

Step-by-step explanation:

Given:

If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?

Solve:

Percent - Out of 100

100 - 24 = 76

Hence, 76% of the skittles are not red.

~~Lenvy~~

Answer:

76% are not red

Formula:

(Total Skittle %)-(Red Skittle %)=(Non-Red Skittle %)

Work:

100%-24%=76%

which one is greater 7 pounds or 70 ounces

Answers

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

Answer:

7 pounds is greater

Step-by-step explanation:

1 lb = 16 oz

7 lb = 112 oz

70 oz is 70 oz

You should be able to figure out the answer

prove that it is congruent​

Answers

Answer:

The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP

The triangles share one side PS

The figure also states that m∠QPS = m∠RPS

Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.

Kylie brought 5 pears to soccer practice to share with her teammates. She cuts each pear into thirds. How many slices of pears does she have to share with her teammates? Which equations can you use to solve the problem? Select two equations.
A. 5 × 3 = 15
B. 1/5 × 1/3= 1 /15
C. 1/5 × 3 = 3/5
D. 5 ÷ 1/3 =15
E. 1/3 ÷ 5 = 1/15

Answers

Answer :D

A (or) 5 * 3= 15

Question explanation:

5 pears.

3 pieces

[tex](1 * 3) + (1 * 3) + (1 * 3) + (1 * 3) + (1 * 3)[/tex]

Which is:

[tex](3) * (3) * (3) * (3) * (3)[/tex]

Which, simplified:

[tex]3 * 5[/tex]

Which equals:

[tex]3 * 5 = 15[/tex]

Hope this helps :)  - Answered by Lilo

Can somebody please help me

Answers

Answer: C

Step-by-step explanation:

This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.

Find the length of the diagonal.

Answers

Answer:

     D.  34 in

Step-by-step explanation:

You are given the formula for the diagonal in terms of the edge lengths of the cuboid. To find the diagonal, use the given numbers in the given formula.

  Diagonal = √((24 in)² +(18 in)² +(16 in)²) = √(576 +324 +256) in = √1156 in

  Diagonal = 34 in


An airplane flies with a constant speed
of 840 km/h. How far can it travel in
1 hour?

Answers

Answer:

  840 km

Step-by-step explanation:

The speed expression ...

  840 kilometers per hour

means the plane files 840 kilometers in each hour.

In 1 hour, it will travel 840 km.

Jason drew a square with a side length of 8 cm. and Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why? A. Jason is correct because a square is always smaller than a rhombus. B. Bella is correct because the rhombus and square have equal side lengths. C. Jason is correct because a square has fewer sides than a rhombus. D. Bella is correct because a square is half the perimeter of the rhombus. 5 / 18 4 of 18 Answered

Answers

Answer:

B

Step-by-step explanation:

to find the perimeter of a square its side*number of sides

which would be 8*4

to find the perimeter of a rhombus its 4*side length

which would be 4*8

therefore, its b they both have the same perimeter

Find the 10th term, 18, 72,288,...

Answers

Step-by-step explanation:

a = 18

n = 10 th term

difference (d) = 72-10 = 62

an ( n th term ) = a + (n-1)d

a10 ( 10 th term = 18 + (10-1)62

= 18 + 9×62

= 18 + 558

10 the term = 576

Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennon’s car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay?

Answers

The property damage will convert the insurance regarding the damage and the insurance company will pay $25450.

How to compute the insurance?

From the question, the store front will cost $24,000 to replace and there was $1,450 worth of damage to the fence.

The amount paid by the insurance company will be:

= $24000 + $1450

= $25450

When the passenger in the car had medical bills totaling $20,000, the PIP insurance will cover this and the company will pay $20000.

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HELLPPPP REALLLLYYY NEEDDD
THISS ANSWER

Answers

Answer:

we need a picture to help

Step-by-step explanation:

Answer:

what is the question man stop messing around

Answer the questions below about the quadratic function. g(x)=-2x^2+16x-31

Answers

Answer:

Hope it helps!!!Brainliest pls!!!

Select the correct answer.
Function m is the result of a transformation on the parent tangent function.

Answers

Answer:

C

Step-by-step explanation:

General equation of a tangent function is: y=atanb(theta-c)+d

Based on the graph, it moved pi/2 to the right.

So, the answer is C.

The result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.

What is a parent function?

A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family.

The general equation of a tangent function is represented as below:-

y=atanb(Ф-c)+d

Based on the graph, it moved π/2 to the right. Therefore, the result of a transformation on the parent tangent function is g(x) = tan( x - (π / 3 ). The correct option is C.

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I really need help... can someone pls help me

Answers

Volume = length x width x height

Volume of large box = 4 x 3 x 5 = 60 cubic feet.


the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.

write an equation for the graph below in the terms of x

Answers

y= -3/2x
Because of rise over run so the rise is positive three and the run is negative 2 since it goes towards the negative direction

Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso

Answers

Answer:

Bo Peep's lasso is 34ft long.

Step-by-step explanation:

Simply add 11 to 23.

Hope that helps!

Answer:

no peep lasso: 34ft

Step-by-step explanation:

11 + 23 = 34

A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the number of machines made. If
x machines are made, then the unit cost is given by the function C(x) = 0.5x^2- 150x +20,960. How many machines must be made to minimize the unit cost?
Do not round your answer.

Answers

The supply equation of the company is an illustration of a quadratic function

The number of machines that must be made to minimize the unit cost is 150

How to determine the number of units?

The equation of the function is given as:

[tex]C(x) = 0.5x^2- 150x +20960[/tex]

Differentiate the function

[tex]C'(x) = x - 150[/tex]

Set to 0

[tex]x - 150 = 0[/tex]

Add 150 to both sides of the equation

[tex]x = 150[/tex]

Hence, the number of machines that must be made to minimize the unit cost is 150

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