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3 years ago

How many permutations in the word football

Mathematics

2 answers:

AlekseyPX3 years ago

7 0

8!/(2!*2!)
=8!/4
=10080

ZanzabumX [31]3 years ago

4 0

There would be 8 permutations

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3 years ago

If 5x + 32 =4-2x, what is the value of x ?

Ket [755]

Hi there!

To solve this problem, we need to simplify.

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2 years ago

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Length of a rectangle is 5 cm longer than the width. Four squares are constructed outside the rectangle such that each of the sq

azamat

Answer:

The perimeter of rectangle is $18\ cm$

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

$x=y+5$ ----> equation A

$120=xy+2x^{2}+2y^{2}$ ---> equation B (area of the constructed figure)

substitute the equation A in equation B

$120=(y+5)y+2(y+5)^{2}+2y^{2}$

$120=(y+5)y+2(y+5)^{2}+2y^{2}\\ 120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\ 120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\120=5y^{2}+25y+50\\5y^{2}+25y-70=0$

using a graphing calculator -----> solve the quadratic equation

The solution is

$y=2\ cm$

Find the value of x

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