Answer:
The angle subtended by the arc is 171.8873385 degrees (3 radians)
Step-by-step explanation:
The formula of the length of an arc of a sector is L = × 2 π r, where
- x is the central angle subtended by the arc
- r is the radius of the circle
∵ An arc of a sector is three times its radius
∴ L = 3r
→ Equate the formula of the length of the arc by 3r
∵ × 2 π r = 3r
→ Divide both sides by r
∴ × 2 π = 3
→ Simplify the left side
∵ x = 3
→ Divide both sides by
∴ x = 171.8873385°
∴ The angle subtended by the arc is 171.8873385 degrees (3 radians)
Answer is C. the third option
Plug in
When x = - 6, y = ∛[-(-6) + 2] = ∛8 = 2
When x = 1, y = ∛[-1 + 2] = ∛1 = 1
When x = 2, y = ∛[-2 + 2] = ∛0 = 0
When x = 3, y = ∛[-3 + 2] = ∛-1 = -1
When x = 10, y = ∛[-10 + 2] = ∛-8 = -2
The answer should be D
Step by Step: |2x-2| <(or equal to) 6
Add 2 on both sides should give you, |2x| < 8
Divide both sides by 2, giving you 4
Other way, is doing the same but -2
.89 or .9 hope this helps
The given function is:
It is required to find the graph of g(x)=1/3 f(x).
Recall that the graph of a function g(x)=a f(x) is derived as a result of vertically shrinking the graph of f(x) towards the x-axis, where 0
Notice that in this case, a=1/3, which falls in the given interval for a vertical shrink.
Start with the graph of f(x)=x², which is the parent function for a quadratic function (graph in red):
Next, vertically shrink this graph towards the x-axis by a factor of 1/3 to graph, g(x)=1/3 f(x) in blue:
Notice that the graph that matches this from the options is the graph in option D.
The correct answer is option D.