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Leviafan [203]
3 years ago
13

THIS IS THE FOURTH TIME I HAVE POSTED THIS QUESTION. I HAVE BEEN STUCK ON THIS SAME QUESTION FOR AN HOUR

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0
So the culture banner size has length x, width x (since it is square)
The sports banner has length x+12, width x.

The area of the sports banner is length x width = x(x+12) = x²+12x.

Now, lets look at the tiles.

- The monomial, x, a factor of the expression is the width of the sports banner.

- The binomial (x+12) is the length of the spots banner (this is given!)

- The second degree term of the expression x²+12 is x², the area of the culture banner

- The first degree term of the expression x²+12x is 12x, it represents the increase in area, since the area went from x² to x²+12x

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Anna35 [415]

 

\displaystyle\\\\\frac{2}{x-2}+\frac{7}{x^2-4}=\frac{5}{x}\\\\\frac{^{x+2)}2~~~~~}{x-2}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2(x+2)}{(x-2)(x+2)}+\frac{7}{(x-2)(x+2)}=\frac{5}{x}\\\\\frac{2x+4+7}{x^2-4}=\frac{5}{x}\\\\\frac{2x+11}{x^2-4}=\frac{5}{x}\\\\5(x^2-4)=x(2x+11)\\\\5x^2-20=2x^2+11x\\\\5x^2-2x^2 -11x-20=0


\displaystyle\\3x^2-11x-20=0\\\\x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{11\pm\sqrt{121+4\cdot3\cdot20}}{2\cdot3}=\\\\=\frac{11\pm\sqrt{121+240}}{6}=\frac{11\pm\sqrt{361 }}{6}=\frac{11\pm19}{6}\\\\x_1=\frac{11-19}{6}=\frac{-8}{6}\\\\\boxed{\bf x_1=-\frac{4}{3}}\\\\x_2=\frac{11+19}{6}=\frac{30}{6}\\\\\boxed{\bf x_2=5}




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4 0
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Solve the equation -18 +3x = -6
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You want to solve for x so add 18 from both sides of the equal sign. making it 3x=12. then divide both sides by 3 making x=4. x is 4.

5 0
3 years ago
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