The value of x is 243
(correct me if wrong)
Answer:
V ≈ 226.72 cm³
Step-by-step explanation:
Use the formula for volume of a cone using slant height and radius.
V = 1/3 π r² √ l² - r²
Then, plug in dimensions and solve.
V = 1/3 π (10)² √ 10² - 5²
V ≈ 226.72 cm³
Hope I could help!!! Good luck!!!
The equation of the parallel line is y = –2x – 11.
Solution:
Given equation of the line is y = –2x – 5.
Slope of this line is
= –2
To write the equation parallel to this line and passes through (–4, –3).
<em>If two lines are parallel, then they have the same slope.</em>


<u>Point-slope formula:</u>

Substitute the given values in the formula, we get



Subtract 3 from both sides of the equation.


Hence the equation of the parallel line is y = –2x – 11.
Answer:
In this problem, we are given the following functions:

and its inverse function:

First of all, we want to calculate
. This can be obtained by substituting
x = 2
into f(x). Doing so, we find:

Then we want to calculate
. We can do it by substituting
x = 1
into
. Doing so,

Then we want to calculate
, which can be found by calculating f(2) and then using it as input for
We know that
f(2) = 1
Therefore,

Then we want to calculate
, which can be calculated by plugging
x = -2
into
. Doing so,

Then we want to calculate
; by substituting
x = 4
into f(x), we find

Finally, we want to find 
We know already that

So we have:
