Answer:
here is the answer bae. Feel free to ask for more
Answer: 320°
Step-by-step explanation:
This is a circle geometry.
The arc length of the circle is given to be 8πcm and the radius is 4.5cm.
Now the length of an arc of a circle is
Arc length = πr0°/180° or 2πr0°/360°
To find the angle 0° subtend at the center we equate the arc length with the formula and solve for 0°.Now we go
πr0°/180 = 8π, convert to a simple linear equal and solve for the angle.
πr0° = 8π × 180
0°. = 8π × 180
-----------
π × r
= 8 × 180. 8 × 180
-------- or ---------
9/2. 4.5
= 8 × 180 × 2
------------
9
= 8 × 20 × 2
= 320°
or 8 × 180/4.5
= 1440/4.5
= 320°
It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write
![\{x\in\re\mathbb{R}\}](https://tex.z-dn.net/?f=%20%5C%7Bx%5Cin%5Cre%5Cmathbb%7BR%7D%5C%7D%20)
and in interval notation,
![(-\infty,\infty)](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C%5Cinfty%29%20)
The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that
,
in set notation:
![\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}](https://tex.z-dn.net/?f=%20%5C%7Bf%28x%29%5Cin%5Cmathbb%7BR%7D%5C%20%7C%5C%20f%28x%29%5Cleq3%5C%7D%20)
(this just means "f(x) is a real number less than or equal to 3")
and in interval notation:
![(-\infty,3]](https://tex.z-dn.net/?f=%20%28-%5Cinfty%2C3%5D%20)
Answer:
-6 and 1
Step-by-step explanation:
If you separate the different powers (^), you have -m^3 - 5m^3 and -m^2 + 2m^2.
-m^3 - 5m^3 = -6m^3
-m^2 + 2m^2 = m^2 or 1m^2
Distance =960 kilometers
Graph the distance (960 kilometers) it traveled is on the y-axis
Time=4 minutes
Graph the time it travels on the x-axis