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1 year ago

Which of the following is not a Pythagorean triple?

Mathematics

1 answer:

Ierofanga [76]1 year ago

8 0

Answer:

(7, 24, 26)

Step-by-step explanation:

A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.

_____

Additional comment

For an odd integer n, a triple can be formed as ...

(n, (n²-1)/2, (n²+1)/2)

That is, the following will be Pythagorean triples.

(3, 4, 5)
(5, 12, 13)
(7, 24, 25)
(9, 40, 41)
(11, 60, 61)

Another series involves even numbers and numbers separated by 2:

(2n, n²-1, n²+1)

(8, 15, 17)
(12, 35, 37)
(16, 63, 65)

In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.

It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.

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Determine the slope of the line that passes through the points:

miskamm [114]

Answer:

The slope of the line is 4.

Step-by-step explanation:

Recall that slope = rise over run: rise / run.

From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be

m = rise / run = 16/4 = 4

The slope of the line is 4.

4 0

3 years ago

Three friends Kofi,Yaw and Musa are in partnership business in which Kofi and Yaw contributed 5/9 and 2/15 of the cost of 14000.

wlad13 [49]

Answer:

(a) $Total = 45000$

(b) Yaw, Musa and Kofi

Step-by-step explanation:

Given

$Kofi =5/9$

$Yaw = 2/15$

$Musa = 14000$

Solving (a): The cost of the business

First, we solve for the fraction of Musa

$Musa + Kofi + Yaw = 1$

$Musa = 1 - (Kofi + Yaw )$

$Musa = 1 - (5/9 + 2/15)$

$Musa = 1 - (\frac{25+6}{45})$

$Musa = 1 - \frac{31}{45}$

$Musa = \frac{45 - 31}{45}$

$Musa = \frac{14}{45}$

So, we have:

$\frac{14}{45} * Total = 14000$

Make Total the subject

$Total = 14000 * \frac{45}{14}$

$Total = 1000 * 45$

$Total = 45000$

Solving (b): Partners in ascending order

First, represent the fractions as decimals

$Kofi =5/9$ $= 0.5556$

$Yaw = 2/15$ $= 0.1333$

$Musa = \frac{14}{45}$ $= 0.3111$

From the conversion above, the least is 0.1333 (Yaw), then 0.3111 (Musa), then 0.5556 (Kofi).

So, the order is: Yaw, Musa and Kofi

6 0

3 years ago

NEED HELP ASAP!! THIS IS DUE UNDER 10 MIN! GIVING BRAINLEST (My Brainlest is giving 100 extra points)

laila [671]

Answer:A

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

This graph shows a proportional relationship.

Elodia [21]

Answer:

k = 12

Step-by-step explanation:

One pair of coordinates is sufficient to work out the constant of proportionality.

Equation in general form:

y = kx

and

Point (3, 36)

Substitute x- and y- coordinates into equation and find the value of k:

36 = k*3
k = 36/3
k = 12

8 0

2 years ago

PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??

Romashka [77]

Answer:

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

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3 years ago