Answer:
D) x² -x - 10 =0
Step-by-step explanation:
Given that

L.C.M



⇒
⇒ 9 x + 54 = 9 x² - 36
⇒ 9 x² - 36 - 9x - 54 =0
⇒ 9 x² - 9x - 90 =0
⇒ 9(x² -x - 10 ) =0
⇒ x² -x - 10 =0
Answer:
x=3 and x=1
Step-by-step explanation:Horizontal asymptote will occur at x=3 and x=1.
You have to factorize the denominator and find the zeroes of the denominator. That is how you find out the horizontal asymoptote.
Answer:

Step-by-step explanation:
Let
and 
<u>Determine slope</u>
<u />
<u>Use either ordered pair to find the y-intercept</u>
<u />
<u>Final equation</u>
<u />
Option A. would be the best answer.
Hope this helps ;)
1) The equation of the parallel line in Slope Intercept Form is; y = -x - 1
2) The equation of the perpendicular line in Slope Intercept Form is;
y = ³/₂x - 4
<h3>How to write equation in Slope Intercept Form?</h3>
1) When two lines are parallel, it means their slopes are the same.
Formula for equation in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Thus, slope of y = -x + 1 is m = -1.
Equation of parallel line is;
(y - (-5))/(x - 4) = -1
y + 5 = -x + 4
y = -x - 1
2) When two lines are perpendicular, it means their slopes are the negative inverse of each other. Thus;
Slope of line = -2/3 and so slope of perpendicular line = 3/2. Thus, equation of new line is;
(y + 1)/(x - 2) = 3/2
2y + 2 = 3x - 6
2y = 3x - 8
y = ³/₂x - 4
Read more about slope intercept form at; brainly.com/question/1884491
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