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3 years ago

A train is going on a journey. First it travels east for 50 kilometers. Then it turns north and travels for 22

Mathematics

1 answer:

Igoryamba3 years ago

3 0

The train travel 20 kilometers in the southward direction to reach its original location.

Step-by-step explanation:

The given is,

First train travels east for 50 kilometers, then

Turns north and travels for 22 kilometers

It goes west for 50 kilometers

Step:1

Let, A - Distance of train travels from its starting point in Eastern direction at pq point

B - Distance train travels in northward direction at qr point

C - Distance of train travels in western direction at rs point

D - Distance of train travels in southward direction to reach its starting location at sp point

Step:2

Refer the attachment,

Distance of travel in northward direction and distance of travel in southward direction are equal.

qr = sp.............. (1) ( ∵ Eqn (1) from the Diagram)

20 km = 20 km

sp = 20 km

Result:

So, the distance of train travel to reach its original location in southward direction is 20 km.

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The probability that the hacker guesses the password on his first try is:

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In each one of these, we can put.

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Now we can find the total number of different passwords, which will be equal to the product between the number of options for each one of the characters.

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And we have 10 characters.

Then the product between the numbers of options is:

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Then if the hacker does a random guess, the probability that the random guess is correct is one over the total number of possible combinations.

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P = 1/(62^10) = 1.19*10^(-18)

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slamgirl [31]

Answer:

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Step-by-step explanation:

You have the following system of equations:

$x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)$

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

-x +y -z = - 4

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Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

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You multiply equation (5) by 2 and sum (5) with (4):

2[ -y + z = 3]

3y -2z= -7

y + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

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3 years ago

Which equation represents the line shown in the graph below?

likoan [24]

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