This is what I found
Step-by-step explanation: <em>If you look at the figure, the angle marked red is equal to 70° because vertical angles are equal. So, that also means that the opposite angle 2 is also 70°. So, the first equation is:</em>
<em />
<em>70 = 5x + y</em>
<em />
<em>Next, the green angle as marked is equal to</em>
<em>Green angle = 180 - 70 = 110</em>
<em>Being vertical angles, angle 1 is then equal to 110°. So,the second equation is</em>
<em />
<em>110 = 5x + 3y</em>
<em />
<em>Subtract the two equations:</em>
<em />
<em> 5x + y = 70</em>
<em> - 5x + 3y = 110</em>
<em>________________</em>
<em> -3y = -40</em>
<em> y = -40/-3 = 13.33°</em>
<em />
<em>Substituting y to either one of the equations,</em>
<em>5x + 13.33 = 70</em>
<em>Solving for x,
</em>
<em>x = 11.33°</em>
<em />
An asymptote is of a graph of a function is a line that continually approaches a given curve but does not meet it at any finite distance.
There are three major types of asymptote: Vertical, Horizontal and Oblique asymptotes.
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. They are the values of x for which a rational function is not defined.
Thus given the rational function:
The vertical asymptotes are the vertical lines corresponding to the values of x for which
Solving the above quadratic equation we have:
Therefore, the vertical asymptotes of the function
are x = 2 and x = -5
The horizontal asymptote of a rational function describes the behaviour of the function as x gets very big.The horizontal asymptote is usually obtained by finding the limit of the rational function as x tends to infinity.
For rational functions with the highest power of the variable of the numerator less than the highest power of the variable of the denominator, the horizontal asymptote is usually given by the equation y = 0.
For rational functions with the highest power of the variable of the numerator equal to the highest power of the variable of the denominator, the horizontal asymptote is usually given by the ratio of the coefficients of the highest power of the variable of the numerator to the coefficient of the highest power of the denominator.
Therefore, the horizontal asymptotes of the function
is
Answer:
25
Step-by-step explanation:
3x - 2y - 7x + y
Rearrange the terms
3x - 7x - 2y + y
Add like terms
-4x - y
