Answer:
The rug is two feet too wide
Step-by-step explanation:
Well first, let's figure out the diameter of the rug to see if it will fit in the room. We know that the circumference of the circle is πd. So we can solve for d from there (d is the diameter).
c = πd
50.24 = πd
50.24/π = d
d = about 16 ft
Knowing this, we know that the rug would not fit in the room and if it was centered, it would have a foot of rug sticking out from each wall. Therefore, the rug is two feet too wide.
First you put (x+5) into the initial function wherever you see x so it becomes
(x+5)^2+3(x+5)-10=x^2+kx+30
(x^2+5x+25)+(3x+15)-10 simplified left side
x^2+8x+30 fully simplified left side
thus k=8
x^2+8x+30=0 to find 0s
-4 + 3.7416573867739i
<span>-4 - 3.7416573867739i
</span>these are the roots you find after using the quadratic formula
the second one is the smallest
Answer:
Step-by-step explanation:
Given
5 tuples implies that:
implies that:
Required
How many 5-tuples of integers 
are there such that
From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.
Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location
So, there are n + 4 items to make selection from
The selection becomes:
Expand the numerator
<u><em>Solved</em></u>
The answer is
3^66483360316461674016
