Answer:
f(x) = 
Step-by-step explanation:
First we identify the Vertical Asymptote. Which is at x = 2
The function has a VA only at the point where the denominator gives 0, so because we know x = 2 is the VA, the denominator will be x - 2.
Then we identify the Horizontal Asymptote, which is the behavior of the function for very large 'x', or the horizontal line of the graph on the y - axis. Which is at y = 1. So our function will go to 1, as x grows incredibly large.
But since our denominator is x - 2, the top remains 1, but we should add a 1 to the function so it really has a HA at y = 1.
f(x) =
<h3>
<u>Explanation</u></h3>
- How to see if a shown graph is function or not?
If we want to check that a graph is function or not, we have a way to check by doing these steps.
- Draw a vertical line, make sure that a line has to pass through or intercept a graph.
- See if a line intercepts a graph more than once.
If a line intercepts a graph only one point, a graph is indeed a function. Otherwise, not a function but a relation instead. That includes if a line intercepts more than a point which doesn't make a graph a function.
From the graph, if we follow these steps, we will see that a line will only pass or intercept the graph only one point. Hence, the graph is indeed a function. The following graph that is shown is called "Parabola" for a < 0.
<h3>
<u>Answer</u></h3>
The graph is a function.
The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.
We want angle x, which is opposite the side of length 39.
Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x
or 1521 = 3481 + 1296 - 2(36)(59) cos x
Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x
-3256 = -4248cos x
-3256
Then: cosx = --------------- = 0.766
-4248
Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)
Step-by-step explanation:
in ascending order;
4/15 ,1/5 ,2/3
Answer:
x=2
Step-by-step explanation:
This is an isosceles triangle you can tell by the two congruent/equal angles
angle A is congruent/equal to angle C by definition the two sides will be equal.
x-4=3x-8
1. get all you x's on one side. by subtracting x from both sides you don't have to deal with dividing by negatives later on.
x-x-4=3x-x-8
-4=2x-8
now you want to get x by itself so add 8 to both sides
4= 2x
x is still not by itself so divide both sides by 2
x=2
