Substitute -12 for x to get |-12 + 10| and -12 + 10 is -2, the absolute value of -2 is just 2.
|x + 10| if x = -12 is 2
Here, it is helpful to use the formulae for the volume of a cone and a cylinder. I am assuming we are dealing with a right cone and a right cylinder.
and
.
The volumes of both of these figures are equal to 34 cubic inches, as you said. Notice in our formulae, everything is identical EXCEPT that the volume of a cone is basically that of a cylinder divided by three. To reverse this, that is, to find the volume of the cylinder, we would multiply by 3. 34 cubic inches times 3 is
102 cubic inches.
I would like to add that sometimes these formulae seem totally arbitrary. But when you think about the cylinder like a circle with a rolled-up rectangle, you can see that the
part is the area of a circle, and the height is because it's three dimensional. To translate this into the volume of a cone is a bit trickier. It involves calculus...
. If that looks like nonsense to you, then you can just remember that a cone is kind of a pointy cylinder and must be smaller than a cylinder!
Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute .
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute .
Therefore, the inverse of the given function is and the graphs of these functions are shown below.
The answer is 14 centimeters
A=10
B=7
C=3
D=10
B. (70+21)x2= 182
C. (30x2)=60
Take the 60 and add it to 182 an get
242 is the final answer