What is the equation of the slant asymptote of the rational function? f(x)=10x^3−15x^2+x−1/5x2−2
y=2x−3

y=x−11/5

y=x−3

y=2x−11/5

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Ответ:

gggggggggggg5496

24.06.2022

Mathematics

Check the picture below.

thus

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 4}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ x}}\quad ,&{{ y}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)$

$\bf \left(\cfrac{{{ x}} + {{ 4}}}{2}\quad ,\quad \cfrac{{{ y}} + {{ 6}}}{2} \right)=(\underline{7,2})\implies 
\begin{cases}
\cfrac{x+4}{2}=\underline{7}\\\\
x+4=14\\
x=14-4\\
\boxed{x=10}\\
----------\\
\cfrac{y+6}{2}=\underline{2}\\\\
y+6=4\\
y=4-6\\
\boxed{y=-2}
\end{cases}$

How do i find the coordinates of angels lab.

How do i find the coordinates of angels lab.

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What is the equation of the slant asymptote of the rational function? f(x)=10x^3−15x^2+x−1/5x2−2 y=2x−3 y=x−11/5 y=x−3 y=2x−11/5