Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
Answer:
35.1 units
Step-by-step explanation:
Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:
RS²=3²+6²
RS=
≈6.7 units
Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:
RT²=9²+12²
RT=
= 15 units
Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:
TS²=12²+6²
TS=
≈13.4 units
Perimeter=RS+RT+TS
=6.7+15+13.4
=35.1 units
Answer: 304.6°
Step-by-step explanation:
First of all, using the circumference of the circle formula to find the radius of the circle.
Circumference of the circle = 13, ie
2πr = 13,
r = 13/2π ---------------------------- 1
Now getting the radius of the circle now, you now substitute for this in the formula for finding the length of an arc to get the central angle.
Arc length = 11 , ( 2πr0°/360) or (πr0°/180), so
πr0°/180 = 11 ------------------------ 2
Now solve for 0°, the central angle of the angle by making it the subject of the formula.
πr0° = 180 x 11
0° = 180 x 11
----------- ----------------- 3
πr
Now, put equation 1 in equation 3 and solve.
0° = 1980
--------
π x 13/2π
= 1980 x 2π
-----------
π.x. 13
= 1980 x 2
----------
13
= 3960/13
= 304.6°
Therefore, the central angle of the arc is 304.6°
Please be meticulous and understand the way I change the r in the denominator. It was the rule in fraction when dividing.
First, let's write the given equation in slope-intercept form: y = mx + b
In slope-intercept form, the slope of the line is m, and the y-intercept is b. The slope is a measure of how steep the graph is at any point and is found by doing rise over run. This means the change in y values divided by the change in x values. Next, y-intercept is just where the graph crosses the y axis.
All we need to do to get the equation in slope-intercept form is to divide each term by 3. This will isolate the y.

As you can see, the slope of the line is 2/3, and the y-intercept is -2.
To graph the line, plot a point at (0,-2). This is the point where the graph crosses the y axis. Then from that point, count up two and right 3. Plot a point here as well. Lastly, connect the two points with a straight line.
See attached picture for the graph.
Answer:
239 Feet
Step-by-step explanation: