Leon verified that the side lengths 21, 28, 35 form a Pythagorean triple using this procedure.

Step 1: Find the greatest common factor of the given lengths: 7
Step 2: Divide the given lengths by the greatest common factor: 3, 4, 5
Step 3: Verify that the lengths found in step 2 form a Pythagorean triple: 3 squared + 4 squared = 9 + 16 = 25 = 5 squared

Leon states that 21, 28, 35 is a Pythagorean triple because the lengths found in step 2 form a Pythagorean triple. Which explains whether or not Leon is correct?
Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Yes, any set of lengths with a common factor is a Pythagorean triple.
No, the lengths of Pythagorean triples cannot have any common factors.
No, the given side lengths can form a Pythagorean triple even if the lengths found in step 2 do not

Answers

Answer 1

Answer:

Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.

Step-by-step explanation:

Another example of  multiplying a Pythagorean triple is

Take the known Pythagorean triple 5, 12 and 13:

5 12 13   * 2  = 10 24 26

and 26^2 = 10^2 + 24^2

     676 = 100 + 576 = 676


Related Questions

PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R

Answers

Answer:

in what sentence all i see is the letters no image above

<
10 of 21
Next >
- Lesson 5: Solving Any Linear Equation
Plymel
5.2: Trading Moves
Select another equation. Then take turns with each step
to solve the equation.
5x+7=x+13
O 2(x + 7) = -4x+14

Answers

Answer:

photo math is very helpful for math really try it

solve -3 (x + 1) - 2x= -6

A x=1
B x=5
C x = -7
D x = -9

Answers

Answer: C

Step-by-step explanation:

the answer is x= 3/5

MATH PLS HELP
(7h+9)+(4h+4)

Answers

Answer:

11h+13

Step-by-step explanation:

7h+4h=11h

9+4=13

Answer:

11h+13

Step-by-step explanation:

Combine like terms.

Can you just get KA answers from somewhere Help me? pleases

Answers

Answer:

I went through khan academy and the answer is this.... Also what is your microsoft teams Account?

Step-by-step explanation:

A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?

A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only

Answers

Answer:

b

Step-by-step explanation:

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

Please can someone help me I can’t fail this test

Answers

Answer:

x=7 y=4

Step-by-step explanation:

couldnt really see the question but i hope this helps

Plzz answer fast guys​

Answers

Answer:

(A)

Step-by-step explanation:

ZxZ-8=

Z-7

Note* Z-8=Z in the power of - 8 and Z-7=Z in the power of - 7

Answer:

z⁻⁷

Step-by-step explanation:

Use (zᵃ)ᵇ = zᵃᵇ and zᵃ * zᵇ = z⁽ᵃ⁺ᵇ⁾

Write an equation in standard form passing through the points (-2,0) and (-3,-1).

Answers

-x + y = 2

slope: (y2-y1)/(x2-x1) = (0- -1)/(-2- -3) = 1/1 = 1

point slope form: (y-y1) = m (x-x1)
y-0 = 1 (x+2)
y = x + 2

standard form:
subtract x from both sides
-x + y = 2

Simplify the expression 9+(3x+4)

Answers

Answer:

3x+13

Step-by-step explanation:

=9+(3x+4)

=9+3x+4

=3x+13

What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+

Answers

Answer: -4

A P E X

Step-by-step explanation:

Pls HAAAAAAAALLLLPPPPP plez
I give brainliest to whoever answers correctly w/ explanation.






























































answer the question below
i don’t get it, pls explain

Answers

C) 2x = 100, this is because they are equal
The angle of TQV: 50

Answer:

C. 2x = 100

Step-by-step explanation:

Vertical angles are 2 angles which are vertical and have the same degree. For example, if an angle which is vertical to another is 80°, the other angle is 80° too. The reason why you can't say it's 50 is because they want you to identify the equation of it, so you can't really like shortcut through and you need to make an answer for explanation. Hence 2x = 100 is the best answer.

Find the missing point of the following parallelogram.
A (6, 5)
B (5, 3)
C (2, 4)
D (7, 5)

Answers

i’m pretty sure it’s B

I just took the test and the right answer is 6,5

Which statement is true?

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

Option B

Brainly plz :))

find the domain and range of fx= 2-3sinx​

Answers

Answer:

domain expansion

Step-by-step explanation:

jujutsu kaisen brúh

When subtracting these two algebraic expressions, the second expression would be equivalent to:
(3x + 7) - (2x +4)
2.0 -4
O-2.3 - 4
O-20 + 4
O 2x + 4

Answers

Answer:

[tex](-2x-4)[/tex]

Step-by-step explanation:]

Given data

we are given that the expression is

the first expression is[tex](3x + 7)[/tex]

the second expression is[tex](2x +4)[/tex]

[tex](3x + 7) - (2x +4)[/tex]

When we open bracket the second expression becomes

[tex](-2x-4)[/tex]

Points (0,1) and (2,7) fall on a particular line. Write the equation of the line in slope-intercept form (y=mx+b)

Answers

Answer:

Slope:

3

y-intercept:

(0, 1)

Negative 8 times 2/3

Answers

Answer:

[tex]-\frac{16}{3}[/tex]

Step-by-step explanation:

This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:

[tex]-8*2*\frac{1}{3}[/tex]

You could also change it to this:

[tex]\frac{-8}{1}*\frac{2}{3}[/tex]

Do these look simpler? Hopefully they do!

Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:

[tex]\frac{1}{3}(-8*2)[/tex]

[tex]=\frac{1}{3} (-16)[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

Or we can do this:

[tex]\frac{-8}{1} *\frac{2}{3}[/tex]

[tex]=\frac{-8*2}{1*3}[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.

In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.

I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!

The equivalent value of the fraction is A = -16/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2/3

And , when the value of q = -8

On simplifying the equation , we get

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

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )

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

A = ( -8 x 2 ) / ( 3 )

On simplifying , we get

Multiply by -8 on the fraction , we get

A = ( -8 x 2 ) / 3

A = -16/3

Therefore , the value of A = -16/3

Hence , the fraction is A = -16/3

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ6

PQR is a right angled triangle calculate the size of angle marked x

Answers

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse:                                                                                      [tex]\displaystyle x = 37.39^\circ[/tex]Round:                                                                                                             [tex]\displaystyle x \approx 37.4^\circ[/tex]

...what's
[tex] \sqrt{169} [/tex]

Answers

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

Show that f(x) f(y) - f(x+y), where f(x)= [cos x - sin x o] [sin x cos x o] [o o 1]

Answers

Answer:

The answer is below

Step-by-step explanation:

Show that f(x) f(y) = f(x+y)

From trigonometric:

sin(x + y) = sinxcosy + cosxsiny

sin(x - y) = sinxcosy - cosxsiny

cos(x + y) = cosxcosy - sinxsiny

cos(x - y) = cosxcosy + sinxsiny

[tex]f(x)=\left[\begin{array}{ccc}cosx&-sinx&0\\sinx&cosx&0\\0&0&1\end{array}\right] ,f(y)=\left[\begin{array}{ccc}cosy&-siny&0\\siny&cosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cosxcosy-sinxsiny&-cosxsiny-sinxcosy&0\\sinxcosy+cosxsiny&-sinxsiny+cosxcosy&0\\0&0&1\end{array}\right] \\\\\\f(x)f(y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\[/tex]

[tex]f(x+y)=\left[\begin{array}{ccc}cos(x+y)&-sin(x+y)&0\\sin(x+y)&cos(x+y)&0\\0&0&1\end{array}\right] \\\\\\Therefore\ f(x)f(y)=f(x+y)[/tex]

Need help with khan.

Answers

Answer:

144

Step-by-step explanation:

10x+24°=6x+72°

10x-6x°=72°-24°

4x=48°

X=48°/4°

X=12°

Then, angle A=10x+24°

A=10×12+24°

A=144°

I really need help Please ​

Answers

Answer:

The tree was 5 feet when he bought it and it grew one foot every year.

I believe the equation would be h=t+5

Step-by-step explanation:

The answer would be h=t+5 because the height equals the year plus five.

In the figure below, o ll g. Find the values of x and z. (42 - 16 • 1 84​

Answers

Answer:

x = 96

z = 28

Step-by-step explanation:

Given:

(4z - 16) , 84, o║g

Proof

X = 180 - 84 (Sum of Opposite angles is 180)

x = 96

Let's take ∠(4z - 16) as  ∠A

∠A = ∠X (Vertically opposite angles)

(4z - 16) = 96

4z = 96 + 16

4z = 112

z = 112/4

z = 28

pls help if you know it


during a high school basketball game the home team scored 51 points and the opponent's score 62 points what is the point differential for (the difference between the number of points scored by a team and its opponent) for the home team?
-11
11
-10
10​

Answers

Answer:

11

Step-by-step explanation:

just do 62-51=11 which gets you the difference between points

one of mr jones autographed baseballs is worth $55.00. if the value increases by 3% in the next year, what will be the new value of the baseball

Answers

Answer:

56.83?

Step-by-step explanation:

The new value of the baseball is $56.65.

Given that, the cost of baseballs = $55.00 and the value increases by 3% in the next year.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Now, new value = 55+3% of 55

= 55 + 0.03 × 55

= 55 + 1.65

= $56.65

Therefore, the new value of the baseball is $56.65.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Match each justification to its corresponding step in the following solution. (Table shown above)

Identity Property of addition
Addition Property of equality
Given
Identity property of multiplication

A. 1: c (Given)
2: b (addition property of equality)
3: c (Given)
4: a (identity property of addition)
B. 1: a (identity property of addition)
2: b (addition property of equality)
3: d (identity property of multiplication)
4: c (Given)
C. 1: c (given)
2: a (Identity property of addition)
3: b (Addition property of equality)
4: d (Identity property of multiplication)
D. 1: c (Given)
2: b (Addition property of equality)
3: a (Identity property of addition)
4: d (Identity property of multiplication)​

Answers

Answer:

D

Step-by-step explanation:

help me....................

Answers

Answer:

help me plssssssssssssss...

Answer:

it's 18+21 so 39

Step-by-step explanation:

anymore help ?

In the number 8246315 what digit is in the hundreds place?​

Answers

Answer:

the digit 3 is in the hundredths place

Step-by-step explanation:

8,246,315

the 3

Answer:

3

Step-by-step explanation:

Other Questions
Neurons in the somatosensory cortex receive somatic sensory information from ______. Which of the following is NOT a core characteristic of high performing teams? All choices can have unintended consequences. When those outcomes affect someone who had no part in the initial choice, what is it called? Free market Free resource Eminent domain Externality Simplify the expression completely if possible.x^{3}-8x^{2}}{x^2-64} Many japanese car firms are willing to give up immediate profits for long-term penetration of the market. this is a pricing objective known as:_______ If the average work week was 43 hours in 2009 and 42 hours and 30 minutes in 2010, by what percentage did the average number of hours worked per week drop from 2009 to 2010? Can someone help me out with these two problems and show work please !! Who is the creative person incharge of all elements of a theatreproduction?A. designerB. directorC. dramaturgD. producer An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.4 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a standard deviation of 1.0. A level of significance of 0.05 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places. how does the poet speak to the wind in anger or with humors ?yo mistake have seen or hear of the wind "crumbling lines" what is your response to this? is it same as the poets ? (class 9 poem wind ) What is the direction of a line with the slope 3/-2 a, vertical c. upward, left to right b, horizontal d. downward, left to right X+y=5 7x+37=27 solve the system of equations: x=3; y=2 x=4; y=4 x=6;y=1 x=3; y=5 A British pound cost $2.00 in U.S. dollars in 2008, but $1.27 in U.S. dollars in 2017. a)Was the pound weaker or stronger against the dollar Delmar constantly complained to his wife Merna about pain in his knee. Merna decided to stop sympathizing with Delmar and to withhold any sort of positive reinforcement to his pain behaviors, so we would expect Delmar to stop feeling pain in his knee. Group of answer choices True False Pick the correct answerHelp me please thank you :) Read the following line from The Turn of the Screw by Henry James. Then answer the question that follows.I was lifted aloft on a great wave of infatuation and pity.Which figurative language device is present in this line?AlliterationAllusionMeiosisMetaphor What is the rate of average annual net income to the initial investment or average investment (book value) called? which type of allergic skin condition is associated with immunological irregularity asthma and allergic rhinitis how many lines of symmetry does this figure have if your restaurant serves 50 bowls of French onion soup daily and each serving has 8 ounces of onion per portion. Do you think it would be better to purchase whole onions at $1.99 per pound, and cut them yourself, or purchase pre-sliced onions at $2.99 per pound? Explain your rationale using a cost and portion argument