Answer:
π x³ /12 is the volume of the cone if A cone has a height of x and a diameter of x
Step-by-step explanation:
The base diameter and the height of a cone are both equal to x units
Diameter of cone = x units
Radius = Diameter /2
=> Radius of cone = x/2 units
Height of cone =x units
Volume of cone = (1/3) π r²h
r = radius h = height
=> Volume of cone = (1/3)π (x/2)² * x
= (1/3) π (x²/4) * x
= (1/12) π x³
= π x³ /12 cubic units
Answer:
-(x + 6)(x - 7)
Step-by-step explanation:
The expression that we have can also be expressed in the following way:
- (x ^ 2 - x - 42)
Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.
these numbers are: -7 and 6
-7 * 6 = -42
-7 + 6 = -1
Thus:
- (x + 6) (x - 7)
Answer:
132.5 (2dp)
Step-by-step explanation:
7.5%= 0.075
123.28 x 1.075= 132.526
Domain and range:
The domain of a function is all the values the the input assumes.
The range of a function is given by all the values that the output assumes.
In a graphic:
The domain is given by the x-values, the horizontal axis.
The range is given by the y-values, the vertical axis.
In this question:
x, in the horizontal axis, assumes values between -4 and 2.
The closed circle at x = -4 and x = 2 indicates that these values are part of the interval.
Thus, the domain of the graphed function is:
, and the correct answer is given by option D.
For more about domain and range of functions, you can check: brainly.com/question/21853810?referrer=searchResults
Hello!
Explanation:
Slope-intercept form: → 
m: represents the slope and is constant.
b: represents the y-intercept.
rise/run






<em><u>Therefore, the slope is 1.</u></em>
There are no y-intercept.
Answer: → 
Hope this helps!
-Charlie