Answer:p = 28.36
q = 31.78
Step-by-step explanation:
Considering the smaller right angle triangle, with 50° as the reference angle, the opposite side is q and the adjacent side is 55 - p
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 50 = q/(55 - p)
1.1918(55 - p) = q - - - - - - - - - 1
Considering the bigger right angle triangle, with 30° as the reference angle, the opposite side is q and the adjacent side is 55
Applying the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side
Tan 30 = q/55
0.5774 = q/55
q = 55 × 0.5774
q = 31.757
Substituting q = 31.757 into equation 1, it becomes
1.1918(55 - p) = 31.757
65.549 - 1.1918p = 31.757
1.1918p = 65.549 - 31.757
1.1918p = 33.792
p = 33.792/1.1918
p = 28.36
Hello!
This graph is known as a rational function, it's parent function is y = 1/x. This graph is unique because it has two asymptotes where the graph never crosses.
Looking at the graph, the graph did not shift five units upward, but five units to the left because the vertical asymptote is at x = -5, so therefore, it moved five units to the left.
Due to how it is shifted five units to the left, the graph is written as: y = 1/x - (-5), which is simplified to y = 1/(x + 5).
<u>Final answers</u>:
- Parent function: y = 1/x
- Transformations: A vertical shift of five units to the left (fourth choice).
- Graphed function: y = 1/(x + 5)
The answer is B.
If you multiply x by 2 then you should get y.
Answer:
B. (2,-5)
Step-by-step explanation:
The vertex of the function can be found in the most lower value that the function can have.
Since we have an ABS function involved we need to analyse it at first
We know that |x| = x if x> 0 and |x| = -x if x< 0
if we now change x by x-2 (the content of our ABS function involved, we have the following
|x-2| = x-2 if x-2> 0
|x-2| = -x+2 if x-2< 0
Those inequaiities have a common solution
x-2=0, this means that x=2 is the lowest value the ABS(X-2) has and it is equals to zero.
So by evaluating x=2 in the given function we will obtain its vertex.
leading to f(2)=6 |2-2|-5= -5
Hence the point (2,-5) is the vertex of our function
Step-by-step explanation:
D.250L
1L=1000mL
250000mL=250L