The identity (x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2 can be used to generate Pythagorean triples. What Pythagorean triple could be generated using x = 8 and y = 3?

Answers

Answer 1

Answer:

The triple are: 48, 55 and 73

Step-by-step explanation:

Given

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

[tex]x = 8; y=3[/tex]

Required

The Pythagorean triple

We have:

[tex](x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2[/tex]

Substitute: [tex]x = 8; y=3[/tex]

[tex](8^2 + 3^2)^2 = (8^2 - 3^2)^2 + (2*8*3)^2[/tex]

[tex](64 + 9)^2 = (64 - 9)^2 + (48)^2[/tex]

[tex](73)^2 = (55)^2 + (48)^2[/tex]

[tex]5329 = 5329[/tex]

Hence, the triple are: 48, 55 and 73


Related Questions



In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?

Answers

I dont know the question sory

Calculate the perimeter of the following shape.
6cm
y=
10 cm
12 cm
5 cm​

Answers

Answer:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

10 cm + 12 cm + 5 cm + 6 cm

= 33 cm

Help Plis....................

Answers

Answer:

1.30

2. 0 im pretty sure

Step-by-step explanation:

if im wong sry

20) A water sprinkler uses 12.9 gallons of water per minute. How many gallons of water will it use in 36,5 minutes?

a)470.85

B) 480.85

c)4708.5

D) 4808.5​

Answers

Answer:

b

Step-by-step explanation:

Answer: D. Hope It helps!!!!!

20 points. Help. No links. Ty :)

Answers

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

334

[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

10 × 4 × 7 = 280

3 × 3 × 6 = 54

280 + 54 = 334

[tex]\huge\boxed{Mark -Brainliest\hookleftarrow}[/tex]

can someone please explain to me this image?

Answers

Answer:

Complementary

Step-by-step explanation:

(28.5-5. 190)-2
5-2
23
228

Answers

hay here is your answer and hope it's clear :) and if it's not clear [ download photo math] it maybe helpful for you ;)

Can someone please help me I will mark u brilliant

Answers

Answer:

11

Step-by-step explanation:

just count all the Xs from 4 and up

(-2)(-2)(-2)(-2) in exponential form

Answers

Answer:

[tex] (-2)^{4} [/tex]

Step-by-step explanation:

(-2)(-2)(-2)(-2)

The base is -2.

There are 4 factors of -2, so the exponent is 4.

[tex] (-2)(-2)(-2)(-2) = (-2)^{4} [/tex]

20 POINTS HELP FAST
Administrators surveyed students enrolled in a new school in order to choose the school mascot. There are 480 students enrolled in the school. What is the proportion needed to calculate the average number of students that chose the lion for the mascot?

Mascot Survey
Sample 1
Sample 2
Ducks
12
Ducks
8
Grizzlies
24
Grizzlies
30
Lions
20
Lions
22
Silverbacks
16
Silverbacks
12
StartFraction 21 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 72 over 21 EndFraction = StartFraction x over 480 EndFraction
StartFraction 42 over 72 EndFraction = StartFraction x over 480 EndFraction
StartFraction 20 over 22 EndFraction = StartFraction x over 480 EndFraction

Answers

Answer:

its D.

Step-by-step explanation:

What is the equation of a circle with center (-2,3) and radius 4? A. (x + 2)2 +- 3)2 = 16 O B. (x + 2)2 + (y - 3)2 = 4 O C. (x-2)2 + (y + 3)2 = 16 D. (x + 2)2 = (y - 3)2 = 16​

Answers

(x+2)^2 + (y-3)^2 = 4^2

(x+2)^2 + (y-3)^2 = 16

PLEASE HELP ME!!!! I WILL MARK BRAINLIEST
find the length of the third side!
THANK YOU!

Answers

Answer:

The answer is 7

Step-by-step explanation:

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

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

plugging in our numbers we get

[tex] {25}^{2} - {24}^{2} = 49[/tex]

[tex] \sqrt{49} = 7[/tex]

What is the value of p?
O 6
O 7
08
09

Answers

Answer:

6

Step-by-step explanation:

opposite angles of a parallelogram are always congruent

36=4p+12

24=4p

p=6

C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE

Answers

Answer: d is correct

Step-by-step explanation:

Answer: what is the question

Step-by-step explanation:

I need to know the x and y

Answers

Answer:

36^7/12=6 y/x

Step-by-step explanation:

im not sure for the rest of it

Challenge A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the
coins, 8% are pennies and 42% are dimes. There are 5 more nickels than pennies. How much money
does the bag contain?
The bag contains $

Answers

The bag contains 28 dollars

7. A box contains 10 black, 12 white, and 18 red balls. One ball is drawn at
random and replaced. (a) Find the theoretical probability that the ball
drawn is black. (b) Balls are chosen and replaced 40 times. Look at the
table below, find the experimental probability that the ball drawn is black.
(c) Compare the experimental probability of the black ball drawn to its
theoretical probability.
Table:
Color. Times picked
black. 15
white. 12
red. 13

Answers

Answer:

1. 10/40 = 1/4

1b. 15/40 = 3/8

1c. 10/40 = 1/4 and 15/40 = 3/8

Step-by-step explanation:

1. So since there are 40 balls (18 + 12 + 10) and 10 of those balls are black the theoretical probability would just be 10 over 40, ([tex]\frac{10}{40}[/tex]).

1b. On the table there are 15 black balls so that would be, [tex]\frac{15}{40}[/tex].

1c. The theoretical probability is 1/4 and the experimental probability is 3/8.


Solve for x and find the
missing angles :)

Answers

Answer:

x = 20

I'm not sure about the missing angles

equation 3x + 2y = 2 name solution as ordered pair

Answers

Answer:

(0,1) (1,-1/2), (2,-2)

Step-by-step explanation:

Assume y varies jointly with x and z. If y = 12 when x = 2 and z = 4, find x when y = 9 and z =6.

Answers

Answer:3

Step-by-step explanation:

What are the solutions to the equation x2 + 4x - 5 = 0?
On a coordinate plane, a parabola goes through (negative 5, 0), (0, negative 5), and (1, 0).

Answers

2+2x-5=0? It’s x=3/2

Vance invests S15,000 in an account that pays 3 1/4% simple interest for 72 months. Assuming Vance doesn't
make any other deposits or withdrawals, how much will be in his account after 72 months?

Answers

Answer:

$15487.5

Step-by-step explanation:

Using the formula for calculating the amount as;

Amount = Principal + Interest

Principal = $15,000

Get the interest

Interest = PRT/100

Interest = 15000*13/4 * 3/100 (72months = 3years)

Interest = 195000/400

Interest = $487.5

Amount = 15000 + 487.5

Amount= $15487.5

Hence he will have $15487.5 in his account after 72months

Round 51354 to the nearest thousand.

Answers

Answer:

51000.

Step-by-step explanation:

The thousand digit is 1 and the hundreds digit is 3. As the latter is < 5 we dont round up the 1.

Answer:

51000

Step-by-step explanation:

A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.

Answers

Answer:

5832

Step-by-step explanation:

a concert has 6 selections. there are 515 seats in each selection. about how many seats are in the concerts hall

Answers

Answer:

3090

Step-by-step explanation:

6 x 515

Answer:

3090

Step-by-step explanation:

PLEASE HELP ITS URGENT Select the correct answer.
Which document do you need to have on hand when preparing to file your tax return ?

Answers

Answer:

a it's birth certificate

Heeeelllpp pleaseeeee

Answers

Answer:

A. 12.7

Step-by-step explanation:

If line a is parallel to line b, therefore,

(10x - 13.3) = (8x + 12.1) => alternate interior angles theorem

Solve for x

10x - 13.3 = 8x + 12.1

Collect like terms

10x - 8x = 13.3 + 12.1

2x = 25.4

Divide both sides by 2

x = 25.4/2

x = 12.7

If the zeros of a parabola are at x = 4 and x = -2 what could be the equation of the parabola?

Answers

Answer:

the equation would be: y=(x-4)(x+2)

Use the completing the square method to transform the equation x^2 + 2x =13 into an equation of the form (x + a)^2 = b where a and b are real numbers. What are the values of a and b?

Answers

Answer: part A is 1 and part B is 14

Step-by-step explanation:

is -95 an irrational number

Answers

Answer:

I think it is????

Answer:

No, it is not.

An irrational number is real number that cannot be expressed as a ratio of two integers. The number pi or π is a common example of an irrational number since it has an infinite number of digits after the decimal point. Many square roots are also irrational since they cannot be reduced to fractions.

Other Questions
Which statement best describes how the author has drawn an important fact from the speech to create a fictional story? The speech is meant to persuade women, and the story problem encourages a woman to fight for her rights. The speech is meant to persuade women, and the story problem encourages a woman to fight for her rights. The speech is about social change, and the story is about accepting things as they are. The speech is about social change, and the story is about accepting things as they are. Lucy Stone speaks about the lack of equality for women, and Sarah experiences the problems it creates. Before you begin reading, it is helpful to _____.look at the pictures to get a visual image of what the text is trying to conveymake predictions based on headings, bullet points, or information contained in other structural featureswrite a short summary about what you think the text will discuss. Base this summary on the title, headings, and graphics.none of these Help me please |7-11|= In this composite function, (gf)(x) where f(x)=(X-3) and g(x)=X^2 what is (gf)(x) when x=1? (gf)(1)=4(gf)(1)=-4(gf)(1)=-2(gf)(1)=2 3/10 divided divided by 6 = I need this to raise my grade samantha is y years old now represent her age 2 years ago I love you joke answer naman please 19 POINTS AND BRAINLIEST IF CORRECTRead the question CAREFULLY can anyone help pls it's hard AR test catching fire anwsersssss Please help me it would mean the world. Extra points!The answer is 15in^2 provided by my teacher I just need the work. What is the formula for displacement? = xf xiv = /v = / = v tChoose all that apply What is the difference?2x+5 3+5 X+ 1x 3x - gx x-g 5, 8, II, 14 ...The pattern isNext 2 terms = PLEASE ANWSER ASAP ILL GIVE BRAINLIEST explain why some jobs are recession proof Determine whether each table represents a linear, quadratic, or exponential function and justify your answer. Write the correct function name and justification next to the corresponding table. Complete the following analogy. hii please help ill give brainliest