Hi...the answer is b.. I would recommend plot graph and find the gradient.... then use the point formula
Answer:
Step-by-step explanation:
The function 
has a horizontal asymptote which is 
The function 
has a horizontal asymptote which is 
The function has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,
The function 
has a horizontal asymptote which is 
Answer:
x = 28°
Explanation:
|| means parallel lines.
<u>reason</u>:
Alternate interior angles, so has same angle measure.
Answer:
x+y=0
Step-by-step explanation:
slope m of given equations is
(-5+1)÷(3+1)
=-1
then the equations of this line is
y-(-1)=m(x-1)
or, y+1=-1(x-1)
or, y+1= -x+1
or, x+y=0
x+y=0 is required equation of line.
Answer:
y = x³ + 10.5x² + 31x + 13
Step-by-step explanation:
Complex roots (roots that have imaginary terms) always come in conjugate pairs. So if one root is -5 + i, there's another root that's -5 − i.
So the polynomial is:
y = (x + 1/2) (x − (-5 + i)) (x − (-5 − i))
Distributing:
y = (x + 1/2) (x² − (-5 + i)x − (-5 − i)x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 5x − ix + 5x + ix + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + (-5 + i)(-5 − i))
y = (x + 1/2) (x² + 10x + 25 + 5i − 5i − i²)
y = (x + 1/2) (x² + 10x + 25 + 1)
y = (x + 1/2) (x² + 10x + 26)
y = x(x² + 10x + 26) + 1/2(x² + 10x + 26)
y = x³ + 10x² + 26x + 1/2x² + 5x + 13
y = x³ + 10.5x² + 31x + 13
