Determine the equations of the vertical and horizontal asymptotes, if any, for f(x)=2x/x+4
1 answer:
ANSWER
Vertical asymptote: x=-4
Horizontal asymptote: y=2
EXPLANATION
The given equation is
The vertical asymptote is determined by equating the denominator to zero and solve for x.
The equation of the vertical asymptote is
The numerator has the same degree as the denominator.
The equation of the horizontal asymptote is the coefficient of the leading term in the numerator expressed over the coefficient of the leading term in the denominator.
y=2
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Answer:
183 miles to the nearest mile.
Step-by-step explanation:
Distance =Speed X Time
Distance of Truck B from point A=45 X2 =90 miles
Distance of Truck C from point A=55 X2 =110 miles
Angles between them, BAC=132°
We want to find the Distance BC denoted by a between the trucks.
Using Cosine Rule,
a²=b²+c²-2bcCos A
=90²+110²-(2X90X110XCos132°)
=33448.79
a=√33448.79
BC=182.89 miles
The distance between the trucks is 183 miles to the nearest mile.
