Answer:
x=-8
Step-by-step explanation:
the equation is in standard form of y=ax^2+bx+c
so, to find the vertex, or axis of symmetry do -b/2a.
-16/2(1)=
-8
Answer:
Noah should buy a ladder of length greater than <u>28.1 ft</u> to reach at least 22 feet height.
Step-by-step explanation:
Given:
Noah has to reach at least 22 ft height.
Angle made by the base of ladder with the ground = 51.5°
To find the length of the ladder.
Solution:
On drawing the situation, we get a right triangle. The hypotenuse of the triangle represents the length of the ladder.
In triangle ABC.
∠C = 51.5°
AB = 22 ft
Applying trigonometric ratio to find AC (length of the ladder).
Plugging in values.
Multiplying AC both sides.
Dividing both sides by 
Thus, Noah should buy a ladder of length greater than 28.1 ft to reach at least 22 feet height.
- 3(y->3) is the direction of the top left point's solution.
- The answer via origin is often 3(y->3).
- The bottom-right point of the solution tends to -infinity.
As x rises, all converge on 3, which is stable.
As x rises, all shift away from -1, making it unstable.
What are equilibrium solutions?
⇒ It is the response to which other responses either move in the opposite direction or tend to approach when t. Because the solution does not depend on time (or any other variable you are integrating over) at those moments, the situation is in equilibrium. Stable solutions are those that "attract" other solutions that started nearby. Stable solutions are those that don't "push away" unstable ones that started nearby. Finally, solutions that, depending on the side from which other solutions started, either attract or push other solutions are referred to as semi-stable solutions. The values of y for which the differential equation states that dy/dt=0 are the equilibrium solutions. Therefore, at those values of y, there are constant solutions.
Calculation:
The equilibrium solutions:
0.7(1+y) (3−y)=0
⇒ y=-1 and y=3 are the equilibrium solutions.
Hence y=-1 and y=3 are the equilibrium solutions.
Learn more about equilibrium solutions here:
brainly.com/question/23885178
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Answer:
I dont know Ethier ask a teacher or sum gang
Hello there!
The only thing we have to do here is remember our trigonometric functions!
sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y
Knowing that tanᎾ=15/8, we know that y=15 and x=8
Now we need to look at the answer choices and see if they are correct.
A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.
B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.
C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!
D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.
I really hope this helps!
Best wishes :)
