What are the equations of the asymptotes for the function? f(x)=−3/x−1 −1
1 answer:
The vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1
<h3>What is hyperbola?</h3>It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have the equation of the hyperbola:
The asymptotes will be
Vertical asymptote: x -1 = 0 ⇒ x = 1
Horizontal asymptote: y + 1= 0 ⇒ y = -1
Thus, the vertical asymptote is x = 1 and the horizontal asymptote is y = -1 if the equation of the hyperbola is f(x)=−3/x−1 −1
Learn more about the hyperbola here:
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Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
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Answer:
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Then, the apothem can be determined using the Pythagorean theorem in the following way:
Clearing to have:
Then, the area is given by:
Where,
L: length of the octagon sides
a: apotema
Substituting values:
Answer:
the approximate length of the apothem is:
a = 10.91 feet
The approximate area of the floor of the gazebo is:
A = 392.76 feet ^ 2
Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,
According to opposite vertical angle property.
Use angle sum property is triangle ABE.
Therefore, the measure of angle A is 60 degree.