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2 years ago

Which of the following is not a Pythagorean triple?

Mathematics

1 answer:

Ierofanga [76]2 years 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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Your family goes to a Southern-style restaurant for dinner. There are 6 people in your family.

swat32

Answer:

We conclude that:

The number of people who ordered the chicken dinner = 1

The number of people who ordered the steak dinner = 5

Step-by-step explanation:

Given that

Some order the chicken dinner for $14

some order the steak dinner for $17.

Total bill = $99

Let 'n' be the number of people who ordered the chicken dinner.

Let '6-n' be the number of people who ordered the steak dinner.

Thus, the equation becomes

$14n + 17(6-n) = 99$

$14n + 102 - 17n = 99$

$-3n = 99 - 102$

$-3n = -3$

Divide both sides by -3

$n = 1$

and

$6-n = 6-1 = 5$

Therefore, we conclude that:

The number of people who ordered the chicken dinner = 1

The number of people who ordered the steak dinner = 5

7 0

3 years ago

Find the measurement of E •56 •132 •51 •63

Burka [1]

Answer:

∠ E = 56°

Step-by-step explanation:

the external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ MGF is an exterior angle of the triangle , then

10x + 12 = 5x - 4 + 76

10x + 12 = 5x + 72 ( subtract 5x from both sides )

5x + 12 = 72 ( subtract 12 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

Then

∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°

4 0

2 years ago

Read 2 more answers

Please Help. ------------------------------------------------------

Morgarella [4.7K]

Answer:

positive integers less than or equal to 4

Step-by-step explanation:

The number of splits is described by a counting number: 1, 2, 3, ..., so is a positive integer. The description of the plant tells you that the value of x will be a maximum of 4.

The domain is positive integers less than or equal to 4.

8 0

3 years ago

In 1859, 24 rabbits were released into the wild in Australia, where they had no natural predators. Their population grew exponen

Mashcka [7]

Answer:

a) P' = P

$P(t) = 24e^{0.693t}$ where t is step of 6 months

b) 7.7 years

c)1064.67 rabbits/year

Step-by-step explanation:

The differential equation describing the population growth is

$\frac{dP}{dt} = P$

Where t is the range of 6 months, or half of a year.

P(t) would have the form of

$P(t) = P_0e^{kt}$

where $P_0 = 24$ is the initial population

After 6 month (t = 1), the population is doubled to 48

$P(1) = 24e^k = 48$

$e^k = 2$

$k = ln(2) = 0.693$

Therefore $P(t) = 24e^{0.693t}$

where t is step of 6 months

b. We can solve for t to get how long it takes to get to a population of 1,000,000:

$24e^{0.693t} = 1000000$

$e^{0.693t} = 1000000 / 24 = 41667$

$0.693t = ln(41667) = 10.64$

$t = 10.64 / 0.693 = 15.35$

So it would take 15.35 * 0.5 = 7.7 years to reach 1000000

c. $P' = P_0ke^{kt}$

We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48

$24e^{0.5k) = 48$

$0.5k = ln2 = 0.693$

$k = 1.386$

Therefore, $P' = 1.386*24e^{1.386t}$

At the mid of the 3rd year, where t = 2.5, we can calculate P'

$P' = 1.386*24e^{1.386*2.5} = 1064.67$ rabbits/year

4 0

3 years ago

Find x if eg is a median of triangle DEF.. 5x-17 & 3x+1

GREYUIT [131]

If eg is the median, that means
5x-17=3x+12x=18x=9

4 0

3 years ago