How many different ways can a race with 4 runners be completed? (Assume there is no tie.)

Mathematics

1 answer:

sergeinik [125]2 years ago

7 0

Answer:

Step-by-step explanation:

1234, 1243, 1324, 1342, 1432, 1423, 2134, 2143, 2314, 2341, 2413, 2431, 3214, 3241, 3124, 3142, 3412, 3421, 4321, 4312, 4231, 4213, 4132, 4123

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Please help! Use Pythagorean theorem to find perimeter

astraxan [27]

Answer:

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Step-by-step explanation:

A classic right triangle is the 3, 4, 5 triangle. Essentially, 3^2 + 4^2 = 5^2 . Otherwise known as, 9 +16 = 25. With that said, there are two of those that we can make by drawing horizontal lines along the grid. We also know from counting the two vertical sides are each 4 units. To summarize, two sides are 5 units and two are 4 units. We add them together, 5 + 5 + 4 + 4 = 18

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Zinaida [17]

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Solve (x + 1)2 – 4(x + 1) + 2 = 0 using substitution.

solniwko [45]

For this case we have to:

Let $u = x + 1$

So:

$u ^ 2-4u + 2 = 0$

We have the solution will be given by:

$u = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Where:

$a = 1\\b = -4\\c = 2$

Substituting:

$u = \frac {- (- 4) \pm \sqrt {(- 4) ^ 2-4 (1) (2)}} {2 (1)}\\u = \frac {4 \pm \sqrt {16-8}} {2}\\u = \frac {4 \pm \sqrt {8}} {2}\\u = \frac {4 \pm \sqrt {2 ^ 2 * 2}} {2}\\u = \frac {4 \pm2 \sqrt {2}} {2}$