Hello!
The two types of asymptotes you can find from a rational function are vertical and horizontal asymptotes.
Vertical asymptotes are determined by setting the denominator of a rational function to zero and then by solving for x.
Horizontal asymptotes are determined by:
1. If the degree of the numerator < degree of denominator, then the line, y = 0 is the horizontal asymptote.
2. If the degree of the numerator = degree of denominator, then y = leading coefficient of numerator / leading coefficient of denominator is the horizontal asymptote.
3. If degree of numerator > degree of denominator, then there is an oblique asymptote, but no horizontal asymptote.
Hopefully this makes sense! (I had to bring out my math notes, my handwriting is actually disgusting.)
We are given : Distance of the swing = 100 feet.
Distance of slide = 80 feet.
Angle between swing and slide = 30 degrees.
We need to find the distance between the swing and the slide.
Distance of swing, distance of slide and distance between the swing and the slide form a triangle.
We can apply cosine law to find the distance between the swing and the slide.
c^2 = a^2 +b^2 - 2ab cos C
c^2 = 100^2 +80^2 - 2(100)(80) cos 30°
c^2 = 10000 + 6400 -2* 8000 
c^2 = 16400 - 8000
c^2 = 16400 - 13856
c^2 = 2544

c= 50.44
c = 50 feet approximately.
<h3>Therefore, the approximate distance between the swing and the slide is 50 feet.</h3>
Answer: A) 3(10 - 5y) + 6y =12
Step-by-step explanation:
As per the question , the given system of linear equation :

Here , To solve the system of equations using substitution , Johanna isolates x in the second equation and writes

As per the substitution method , the next step is to substitute the isolated value of 'x' in first equation , thus the next step will become

Hence, the correct option is A) 3(10 - 5y) + 6y =12
Answer:
the answer is b
Step-by-step explanation:
please brainliest
Answer:
y < 1/5x - 2
Step-by-step explanation:
bc the line is dotted and the graph is shaded down, the sign is < (less than y)
the y intercept is -2, and the slope is 1/5, which you can find both of these using the given points