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2 years ago

the lengths of the sides of a triangle are 2n, n^2 and n+5 for what value of n do these lengths not make a triangle ?

Mathematics

2 answers:

PtichkaEL [24]2 years ago

8 0

The length , explain that againnnnnnn

mash [69]2 years ago

3 0

Answer:

Step-by-step explanation:

Try n = 2

2n = 4

n^2 = 4

n+5 = 7 That works. It will make a triangle since the 2 smallest numbers are bigger than 7

Try n = 3

2n = 6

n^2 = 9

n + 5 = 8 That works. Same reason as above.

n = 4

2n = 8

n^2 = 16

n + 5 = 9 That works. Same reason.

n = 5

2n = 10

n^2 = 25

n+5 = 10 Aha! That doesn't work. the two smaller numbers only = 20.

There are likely many numbers that don't work. I'll try one more

n = 6

2n = 12

n + 5 = 11

n^2 = 36 This won't work either. Same reason as n = 5.

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There were 63 equal piles of plantain fruit put together and 7 single fruits. They were divided evenly among 23 travelers. What

antiseptic1488 [7]

Answer:

There are 28 fruits in each pile.

Step-by-step explanation:

We are given the following in the question:

Let x denote the number of fruits in each pile and y denote the number of fruits that every traveler receive.

Consider the diophantine equation:

$63x + 7 = 23y\\63x-23y = -7$

We obtain the greatest common divisor of (63,-23).

The greatest common divisor f 63 and -23 is 1.

Therefore, there exist $\alpha,\beta$ such that

$-23\alpha+63\beta=1$

By applying extended Euclidean Algorithm, we have,

$1 = (1\times 6)+(-1\times 5)\\1 = (1\times 17)+(3\times 6)\\1 = (3\times 23)+(-4\times 17)\\1 = (-4\times 40)+(7\times 23)\\1 = (7\times 63)+(-11\times 40)\\1 = (-11\times -23)+(-4\times 63)$

$1 = (-11\times -23) + (-4\times 63)$

Multiplying -7 on both sides, we get,

$-7 = (77\times -23) + 28\times 63)$

Thus, we get,

$x = 28\\y=77$

Thus, there are 28 fruits in each pile.

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3 years ago

Explain the error Tina says that 6:8 is equivalent to 36:64 what did tina do wrong

brilliants [131]

Tina said that 6:8 is equal to 36:64.
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