Answer:
Ф = 10°
Step-by-step explanation:
Regarding arc length, s: s = r·Ф, where Ф is the central angle in radians and r is the radius.
We need to find the central angle, Ф, in this problem.
We know that C = circumference = 6, and that this leads to r = 6/π.
Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:
Ф in radians = 1/3 / (6/π), or Ф = π/18 rad.
π 180°
Converting this into degrees, we multiply ------ by ----------
18 π rad
obtaining: Ф = 10°
Answer:
Domain; [-1, 3)
Range; (-5, 4]
Step-by-step explanation:
The domain of a function is defined as the set of x-values for which the given function is real and defined. In order to find the domain of the graphed function, we have to determine the lowest and the highest x-values for which the function is defined. From the graph, the least value of x is -1 while the greatest x value is 3 but the function is not defined at this point. Therefore the domain of the function is;
[-1, 3)
On the other hand, the range refers to the set of y-values for which the function is real and defined. The least y-value from the given graph is -5 while the greatest y -value is 4. Therefore, the range of the graphed function is;
(-5, 4]
Hello from MrBillDoesMath!
Answer:
x = -3, 4
Discussion:
The zeroes of f(x) are the x values where
2x + 6 = 0 => x = -3
and
x - 4 = 0 => x = 4
Thank you,
MrB
Answer:
Rewrite the first equation as x = 36 – 3y.
Step-by-step explanation:
x + 3y = 36 (1)
4x + 5y = 9 (2)
Using substitution method
From (1)
x = 36 - 3y
Substitute x = 36 - 3y into (2)
4x + 5y = 9
4(36 - 3y) + 5y = 9
144 - 12y + 5y = 9
- 12y + 5y = 9 - 144
-7y = -135
y = -135 / -7
y = 19.3
There is an error with the second equation, 4x + 5y can not be equal to 9
Nevertheless, the first step when solving by substitution is:
Rewrite the first equation as
x = 36 – 3y.
1/6! Any fraction that represents less than a half of a whole is less than 1/2. You could also convert them to the same denominator and see the difference. Make sure whatever you do to the first fraction, you do to the other!
