Write the equation for the line shown below in slope-intercept form.
2 answers:
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The vertical asymptote requires a factor of (x-4) in the denominator.
The double zero requires a factor of (x-1)² in the numerator.
At x=0, these factors will give a value of (-1)²/(-4) = -1/4, so another constant factor of -12 is needed to make the y-intercept be 3.
Your rational function is ...
... y = -12(x -1)²/(x -4)
Given;
Preimeter of QRST = Perimeter of LMNP
Perimeter of LMNP = 17x
So,
Perimeter of QRST LMNP = 17x
Now,
Length of QRST = 2x + 9
Width = ?
We know,
Perimeter = 2 (l + w)
17 x = 2 (2 x + 9 + w)
17 x = 4 x + 18 + 2 w
17 x -4 x - 18 = 2 w
13 x - 18 = 2 w
w = (13 x - 18) / 2
<-- our answer
Preimeter of QRST = Perimeter of LMNP
Perimeter of LMNP = 17x
So,
Perimeter of QRST LMNP = 17x
Now,
Length of QRST = 2x + 9
Width = ?
We know,
Perimeter = 2 (l + w)
17 x = 2 (2 x + 9 + w)
17 x = 4 x + 18 + 2 w
17 x -4 x - 18 = 2 w
13 x - 18 = 2 w
w = (13 x - 18) / 2