The width w of a rectangular swimming pool is 7x2. The area A of the pool is 7x3 – 42x2. What is an expression for the length of the pool? Show your work.
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Mehek (mehek14):
\(\dfrac{7x^3-42x^2}{7x^2}\)
Mehek (mehek14):
do you know how to divide this?
OpenStudy (anonymous):
Do i divide the the numerators with the same denominator? If so i think i can
OpenStudy (anonymous):
because 7 can only be divided by 7 once
Mehek (mehek14):
yes like this
\(\dfrac{7x^3}{7x^2}\)
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Mehek (mehek14):
correct so 7/7 = 1
how about \(\dfrac{x^3}{x^2}\)
OpenStudy (anonymous):
Think it's just x
Mehek (mehek14):
correct
Mehek (mehek14):
now \(\dfrac{42x^2}{7x^2}\)
OpenStudy (anonymous):
Is it 6, 6+x = 6x @Mehek14
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Mehek (mehek14):
so the length is
\(x+6\)
OpenStudy (anonymous):
Okay had it written wrong Thanks Mehek14
Mehek (mehek14):
\((7x^2)(x+6) = 7x^3 + 42x^2\)
Mehek (mehek14):
wait it's -6
OpenStudy (anonymous):
Oh? how did it get negative?
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Mehek (mehek14):
\(7x^2*(x-6)=7x^3-42x^2\)
Mehek (mehek14):
because -42/7 = -6
OpenStudy (anonymous):
Oh, didn't notice the 42 was negative i would of been way off