4 years ago

How do you do this? Distributive property plz help (num 3)

Mathematics

1 answer:

Advocard [28]4 years ago

4 0

-9-(12-3x)=-9-1*(12)-1*(-3)=-9-12+3x=-21+3x=3(x-7)

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Point G is on line segment FH. Given FG=5x+2,GH=3x-1, and FG=9, determine the numerical length of FG

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Given:

FG=5x+2

GH=3x-1

FG=9

Let us draw the line segment as follows,

Equating the length of FG, we get,

$\begin{gathered} 5x+2=9 \\ 5x=9-2 \\ 5x=7 \\ x=\frac{7}{5} \end{gathered}$

Substitute the value of x in the given value of GH,

$\begin{gathered} GH=3x-1 \\ =3(\frac{7}{5})-1 \\ =\frac{21}{5}-1 \\ =\frac{16}{5} \\ =3.2 \end{gathered}$

And the total length FH is,

$\begin{gathered} FH=FG+GH \\ =9+3.2 \\ =12.2 \end{gathered}$

Hence, the lengths are,

$\begin{gathered} FG=9 \\ GH=3.2 \\ FH=12.2 \end{gathered}$

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Step-by-step explanation:

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it takes an air pump 4.0 minutes to fill a twin sized air mattress (39 by 8.75 by 75 inches). How long will it take to fill a qu

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