For y=x^2-6x-11
complete the square
so roots
set y=0
0=x^2-6x-11
group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots
+/-2√5=x-3
add 3 to both sides
3+/-2√5=x
so
x=3+2√5 and 3-2√5
4000/4
is equal to your answer
which is 1000.
Answer:
Step-by-step explanation:
1. List out all data from least to greatest
2. Find the median (the middle number)
3. Find the median of the lower part of data (the numbers lesser in value compared to the median; do not include the median while finding this)
4. Do the same with the numbers above the median.
5. Take the medians of the lower numbers and higher and find the difference,
6. Thats your interquartile range
Answer:
It will take 3.65 seconds at the rate it's being poured.
Step-by-step explanation:
Length = 99 because...
since you multiply to get the area, in order to find the missing term of an area (in this case its length), you do the opposite of what you started with...so if you multiplied to get the area, you need to divide to get the missing side...
so 8811 divided by 89 = 99
99 x 89 = 8811
