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Anna35 [415]
4 years ago
12

What is 6P6 ? 36 46,656 720 1

Mathematics
1 answer:
harina [27]4 years ago
6 0

9514 1404 393

Answer:

  6P6 = 720

Step-by-step explanation:

The notation nPk is shorthand for ...

  n!/(n-k)!

So your expression

  6P6 = 6!/(6-6)! = 6!/0! = 720/1 = 720

_____

The ! is pronounced "factorial." The factorial of a positive integer is the product of that integer and every smaller positive integer. 0! is defined as 1.

  6! = 6·5·4·3·2·1 = 720

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de
Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

               M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let (x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

⇒ d=\sqrt{(2-5)^2+(4-3)^2}

⇒d=\sqrt{9+1}

⇒d=\sqrt{10}   ....(1)

Now, we find the length of M'K'

let (x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)

d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}

⇒ d^{'}=\sqrt{(-2+5)^2+(3-4)^2}

⇒d^{'}=\sqrt{9+1}

⇒d^{'}=\sqrt{10} .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct


3 0
4 years ago
Read 2 more answers
When 5(2x+3)-(x+4) simplified is?
emmasim [6.3K]

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

3 0
3 years ago
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