This is a pretty complex problem
The volume of a rectangular prism is represented by the following equation:
where w is the width , l is the length, and h is the height
Replace 
with 
since the length is tripled
From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.
Let me know if you need any clarifications, thanks!
Answer:
f(x) has three real roots and two imaginary roots.
Step-by-step explanation:
Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).
Now we need to find about which of the given statements describes the number and nature of all roots for this function.
We know that imaginary roots always occur in conjugate pairs.
So if (4+i) is root then (4-i) must also be the root.
So now we have total 4 roots
-2, 2, (4+i) and (4-i).
Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs
So that means 5th root is real.
Hence correct choice is :
f(x) has three real roots and two imaginary roots.
Answer:
1 solution
Step-by-step explanation:
A system of two equations can be classified as follows:
1) If the slopes are the same but the y-intercepts are different, the system has no solution.
<em>2) If the slopes are different, the system has one solution.</em>
3) If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions
Hope this helps you
Answer:
r = 2.39 and C=2πr=2·π·2.39≈14.99997
Step-by-step explanation:
Using the formula
C=2πr
Solving for r=C 2π=15
2·π≈2.38732
and then u round up the 7 told the 8 to go up.
2.39
