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DaniilM [7]
3 years ago
7

What is the stoper of a vertical line

Mathematics
2 answers:
kirza4 [7]3 years ago
7 0
HORIZONTAL LINE WHICH IS THE AT WHICH ALL VERTICAL LINES MUST STOP
Sphinxa [80]3 years ago
6 0
The slope of a vertical line is 0

Hope this helps!
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What is three quarters of £42 and a quarter of £42
maksim [4K]
three \ quarters \to \frac{3}{4} \\\\ \frac{3}{4} \ of \ 42\£ = \\\\ =\frac{3}{4}*42\£= \\\\ =\frac{3}{2}*21\£= \\\\ =\frac{63\£}{2} = \\\\= \boxed{31.5\£} \\\\\\\ a \ quarter \to \frac{1}{4} \\\\ \frac{1}{4} \ of \ 42\£= \\\\ =\frac{1}{4}*42\£= \\\\ =\frac{21\£}{2}= \\\\ =\boxed{10.5\£}
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Answer: £516

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steposvetlana [31]

f(x)=\dfrac{x-4}{x+9};\ g(x)=\dfrac{x-9}{x+4}\\\\f(x)+g(x)=\dfrac{x-4}{x+9}+\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)+(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2+x^2-9^2}{(x+9)(x+4)}=\dfrac{2x^2-16-81}{(x+9)(x+4)}=\dfrac{2x^2-97}{(x+9)(x+4)}\\\\f(x)-g(x)=\dfrac{x-4}{x+9}-\dfrac{x-9}{x+4}=\dfrac{(x-4)(x+4)-(x-9)(x+9)}{(x+9)(x+4)}\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=\dfrac{x^2-4^2-(x^2-9^2)}{(x+9)(x+4)}=\dfrac{x^2-16-x^2+81}{(x+9)(x+4)}=\dfrac{65}{(x+9)(x+4)}


\dfrac{f+g}{f-g}=(f+g):(f-g)=\dfrac{2x^2-97}{(x+9)(x+4)}:\dfrac{65}{(x+9)(x+4)}\\\\=\dfrac{2x^2-97}{(x+9)(x+4)}\cdot\dfrac{(x+9)(x+4)}{65}\\\\Answer:\ \boxed{\dfrac{f+g}{f-g}=\dfrac{2x^2-97}{65}}

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