The Pythagorean triple (5, 12, 13) can't be generated from the identity (x? 1)2 + (2x)2 = (x2 + 1)
which has only one variable, because the length of the hypotenuse (13 units) and the length of the longer
of the other two legs (12 units) are not 2 units apart.
Find a two-variable identity by incorporating a second variable, y, into the single-variable identity. Note
that x > 1, x > y, and x and y are positive integers.
Select the correct answer.
5

The Pythagorean Triple (5, 12, 13) Can't Be Generated From The Identity (x? 1)2 + (2x)2 = (x2 + 1)which

Answers

Answer 1

9514 1404 393

Answer:

  A.  (x² -y²)² +(2xy)² = (x² +y²)²

Step-by-step explanation:

As is often the case with problems like this, the correct answer (A) is the only answer that is actually a true equation.

Choices B, C, D are only true if x or y is zero--a violation of the given condition that they are positive integers.


Related Questions

Which equations are equivalent to −4(3d−2)−7minus, 4, left parenthesis, 3, d, minus, 2, right parenthesis, minus, 7 ?
A) −12d−15
B)12d−15
C)None of the above
Please help me !!!

Answers

Answer:

She/He is right it's C. Tysm!

The correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

How to determine the equivalent

To simplify the expression −4(3d−2)−7, we can apply the distributive property by multiplying -4 to each term inside the parentheses:

−4(3d−2)−7 = -4 * 3d + (-4) * (-2) - 7

This gives us:

-12d + 8 - 7

Combining like terms:

-12d + 1

So the expression is equivalent to -12d + 1.

Therefore, the correct answer is:

A) −12d−15 (None of the options provided are equivalent to the given expression.)

Learn more about expression  at https://brainly.com/question/1859113

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sum of 23.5 , 2.1, 6.07 , and 0.893

Answers

32.563 is the sum of all the numbers

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
-1, 2, 4

Answers

9514 1404 393

Answer:

  f(x) = x³ -5x² +2x +8

Step-by-step explanation:

If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:

  f(x) = (x -(-1))(x -2)(x -4)

  = (x +1)(x -2)(x -4)

  = (x² -x -2)(x -4)

  f(x) = x³ -5x² +2x +8

A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins If the number chosen appears on the bottom of both of the dice, then the player wins If the number chosen does not appear on the bottom of either of the dice, the player loses What is the expected return to the player, in dollars, for one roll of the dice

Answers

Answer:  [tex]=\frac{-1}{16}[/tex]

Step-by-step explanation:

given data:

number to be chosen from = 1,2,3,4.

Solution:

ways the number can show

[tex]2*3*1=6[/tex] ways for your number to appear once.

[tex]1*1=1[/tex] ways for your number to appear twice.

[tex]3*3=9[/tex] ways for your number not to appear at all

[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]

[tex]= \frac{6+2-9}{16}[/tex]

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

expected return of the player is [tex]=\frac{-1}{16}[/tex]

Determine whether the statement below is true or false. Justify the answer. An orthogonal matrix is invertible. Choose the correct answer below. A. The statement is false. Only nonzero orthogonal matrices are invertible. B. The statement is false. Only orthogonal matrices with orthonormal rows are invertible. C. The statement is true. An orthogonal matrix is a square invertible matrix U such that . D. The statement is true. An orthogonal matrix is a square invertible matrix U such that

Answers

I wish I could help you but I doing this so I can ask sum

Answer:

not so sure about this one

Question 4 of 5
Find the length of side a
O A 1
O B. 25
O C. 5
O D. V313

Answers

Answer: 5

Step-by-step explanation:

It’s half

What is the relationship between the ratios?


8/11 and 24/33


Drag and drop to correctly complete the statement.


The ratios are ________.

Enter your answer in the box.

Answers

Answer:The ratios are _Equivalent_______.

Step-by-step explanation:

Step 1

Equivalent ratios are ratios that have the same value  even though they look different. When we divide or multiply  a given ratio by the same  number ( in the numerator and denominator )we get anther equivalent ratio.

Step 2

In the given ratios

8/11 and 24/ 33

8/ 11  x 3/ 3 = 24/ 33

also

24/33 ÷ 3/3 = 8/11

This shows that the relationship between the  ratios are equivalent.

Pls hurry I need the answer

Answers

Answer:  48 degrees

=============================================

Work Shown:

Apply the law of cosines

a^2 = b^2 + c^2 - 2*b*c*cos(A)

10^2 = 13^2 + 11^2 - 2*13*11*cos(A)

100 = 290 - 286*cos(A)

100-290 = -286*cos(A)

-190 = -286*cos(A)

190 = 286*cos(A)

286*cos(A) = 190

cos(A) = 190/286

A = arccos(190/286)

A = 48.368620460647

A = 48

Make sure your calculator is in degree mode.

two planes travel a constant speed. plane A travels 2.800 miles in 5 hours plane B travels 3.885 miles in 7 hours. which plane is faster?​

Answers

Plane a is faster

Have a good day!!!

Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).
If D is the midpoint of BC, the the length (distance) of AD.
write the midpoint
write the distance

Answers

Answer:

Point D: [tex](0,-4, 1 )[/tex]

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Midpoint Formula [3D]: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )[/tex]Distance Formula [3D]: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

Substitute [MF]:                    [tex](\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )[/tex]Add/Subtract:                       [tex](\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )[/tex]Divide:                                  [tex](0,-4, 1 )[/tex]

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Substitute [DF]:                    [tex]d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-1)^2+(-6)^2+(2)^2}[/tex]Exponents:                           [tex]d = \sqrt{1+36+4}[/tex]Add:                                      [tex]d = \sqrt{41}[/tex]

Martina used 3/4 of a bottle of conditioner in 7/12 of a year. How much conditioner would she use in a full year

Answers

Step-by-step explanation:

7 months = 3/4

1 month = 3/4 ÷ 7

= 3/28

12 months / 1 year = 3/28 x 12

= 9/7

not sure if its correct

Answer: 1 2/7

trust me it just worked for me on IXL

WILL GIVE BRAINLIEST IF CORRECT!!

Adam and Simon start on bicycle trips from the same point at the same time. Adam travels east at 8mph and Simon travels south at 6mph. After how many hours are they 60 miles apart?

Answers

Answer:  

4 miles

Step-by-step explanation:

Answer:

6 hours

Step-by-step explanation:

pythagroeom therom

Question in picture below Will give brainly

Answers

Answer:

J 120

Step-by-step explanation:

6.

Triangles TUV and TWV are congruent triangles.

Angles U and W are corresponding angles, so they are congruent.

m<U = m<W

7x + 15 = 8x

Subtract 7x from both sides.

15 = x

m<U = 7x + 15 = 7(15) + 15 = 8(15) = 120

Answer: J 120

Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?


Please help me please !!!

Answers

Answer:

3 milkshakes and 3 sundaes

Step-by-step explanation:

3 * 5 = $15 + 3 * 2 = $21

Yes the person on top right. 5x3= 15 and 6x3=6. 15+6 =21 so 21 dollars


The public debt of a fictional country is 8,127,650,198,774 units of its
currency, while its gross domestic product (GDP) is 23,476,117,934,187 units
of its currency. What is the country's debt-to-GDP ratio?

Answers

Step-by-step explanation:

just divide 8,127,650,198,774 by 23,476,117,934,187

by calculator

13(9−6m)+14(12m−8) =

Answers

Answer:

90m + 5

Step-by-step explanation:

Distribute 13 to (9-6m) and distribute 14 to (12m -8)

13*9 - 13*6m + 14*12m - 14*8 =

117 - 78m + 168m - 112 =

put like terms together

117-112 -78m + 168m =

5 + 90m

please give thanks by clicking the heart button :)

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

C) c = 5 ( 3.5b + 10 )

Step-by-step explanation:

This is because the shop will charge a flat rate of $10 per visit. Then it will charge $3.5 per bowl. Hence the equation; (3.5b + 10) is formed. Finally, if one goes there 5 times, they will have to multiply this equation by 5 to find the total cost. Henceforth, C) is the only correct answer.

please help!! if ur not gonna then, dont answer pls​

Answers

Thing is we need to know the directions because you are only showing us x=

A map of two cities is plotted on a coordinate grid. One city is centered at (-60,40), while the other is at (40, 20). A rest station lies at the midpoint of a straight road joining the centers of each city. What is the location of the rest station? (1 point)​

Answers

Answer:

( - 10, 30 )

Step-by-step explanation:

A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~~~~~~

A( - 60, 40)

B(40, 20)

The location of the rest station is

( [tex]\frac{-60+40}{2}[/tex] , [tex]\frac{40+20}{2}[/tex] ) = ( - 10, 30 )

Answer:

(-10,30)

Step-by-step explanation:

i just took test

Please make me Brainliest

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What is a control group?
:((((((((((((((((((((((((((((

What is a control group?


A group that changes the variable

The group that applies the variable

The group that tests the variable

A test group where the variable is not changed or applied

Answers

Answer:

A scientific control is an experiment or observation designed to minimize the effects of variables other than the independent variable. This increases the reliability of the results, often through a comparison between control measurements and the other measurements.

A test group where the variable is not changed or applied

A function is initially defined by the set of coordinate pairs ((-3,7), (1,5), (4,13)). Which coordinate pair below, if added to this set, prevents the set from representing a function?
1) (2,5) 2) (5,0) 3) (-1,8) 4) (1,4)

Answers

Answer:

(1,4)

Step-by-step explanation:

Given

[tex]\{(-3,7), (1,5), (4,13)\}[/tex]

Required

Which pair makes the relation not a function?

A function is defined as:

[tex]\{(x_1,y_1), (x_2,y_2), (x_3,y_3)..... (x_n,y_n)\}[/tex]

Where each x values (domain) are unique and different from one another.

In the given function, the x values (domain) are: -3, 1 and 4

To get a pair that makes the relation, not a function; we have to select from the given options, any option that has either of -3, 1 and 4 as its x values.

From the list of given options.

4) (1,4) has an x value of 1

Hence, the solution to this question is (1,4)

Kung and So Lee offered $87,000
on a home that had been priced
at $96,500. The seller agreed to the
offer. A 20 percent down payment
is required. What is the amount of
the down payment? What is the
amount of the mortgage loan
needed to financethe purchase the purchase

Answers

Answer:

Down payment = $17,400

Amount of mortgage loan = $69,600

Step-by-step explanation:

Given that :

Cost of home = $87,000

Down payment = 20%

Amount of down payment :

20% of the cost of home

(20/ 100) * $87,000

0.2 * 87000 = $17,400

The cost of mortgage loan required to finance the purchase :

Cost of home - downpayment

$87,000 - $17,400

= $69,600

Select all values that satisfies the inequality 2f >–8
options-
4

4

0

-6

3.5

-2.25

-100

Answers

Step-by-step explanation:

2f > -8

f > -4

The values greater than -4 here are 4, 0, 3.5 and -2.25.

Jaron walked 15 blocks north and then 3 blocks west to school. Marisol walked 3 blocks east and then 15 blocks south to school. Write an expression to show that each traveled the same distance.

Answers

Answer:

sqrt(15² + 3²) = sqrt(15² + 3²)

Step-by-step explanation:

Using Pythagoras:

15 blocks North = 15 blocks south (direction opposite to each other)

3 blocks west = 3 blocks east (directions opposite to each other)

Hence distance traveled (d) :

JARON

D = sqrt(15² + 3²)

MARISOL:

D = sqrt(15² + 3²)

Hence ;

sqrt(15² + 3²) = sqrt(15² + 3²)

Solve the following systems of equations by graphing. Write your answer in the form of (x, y).
y = x + 8 and y = 5x + 4

Answers

Answer:

(x,y) = (1,9)

Step-by-step explanation:

y = x + 8 and y = 5x + 4

Help me I’ll give you stars

Answers

Answer:answer choice 2

Step-by-step explanation:

Solve this 40 pointsssss

Answers

Answer:

2

Step-by-step explanation:

Answer:

6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row


Which line is perpendicular
to the line passing through
the points (-4, 2) and (4,--4)

Answers

Answer:

The line is 4/3x

Step-by-step explanation:

I graphed it

please help ill give BRAINLIEST​

Answers

Answer:

B and D

Step-by-step explanation:

Any help please I appreciate it thank you on 1 and 2 plzzzz!!!

Answers

Answer:

1. angle Y, angle XYZ, and angle ZYX

2. angle PQR, angle SQR, and angle PQS

Step-by-step explanation:

1. The 3 ways to name the given angle are:

✔️The use of an alphabet of the vertex: angle Y

✔️The use of the three alphabets can be named in two ways with the middle alphabet representing the vertex:

angle XYZ

angle ZYX

2. The three different angle in the diagram consist of two adjacent angles that share the same side: angle PQR and angle SQR,

and the bigger angle that sums up the two internal angles, which is angle PQS

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