Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:2 units left of g(x)
2 units down from g(x)
Step-by-step explanation: plug in the formulas
Answer:
Step-by-step explanation:
Applying the chain rule
Then it becomes
In x=0
![\frac{d[tex]f'(0)=-f'(0)\\f'(0)+f'(0)=0\\2f'(0)=0\\](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Btex%5Df%27%280%29%3D-f%27%280%29%5C%5Cf%27%280%29%2Bf%27%280%29%3D0%5C%5C2f%27%280%29%3D0%5C%5C)
f}{dx} =-\frac{df}{dx}[/tex]
Then
Finding the sol'n to f(x) - g(x) = 0 is the same as finding the solution of f(x)=g(x). You could do this analytically by setting the actual function f(x) = g(x) and solving for x (and then for y), or you could estimate the solution from the given graph. The two lines intersect at approx. x=-3.75, y=2.5.
