x² + 9x + 1
let's start by grouping the ones with the same variable
(x² + 9x) + 1
(x² + 9x + [?]²) + 1
so, we seem to be missing a value there, to get a perfect square trinomial, let's recall a perfect square trinomial has a middle term that is 2 * "other two values", namely
so, the middle term on this group will be 9x.
we know 2*x*[?] = 9x, so then
so that's our mystery felllow.
now, let's bear in mind that we'll be borrowing from our very good friend Mr Zero, 0, so if we add (9/2)², we also have to subtract (9/2)².
![\bf \left[x^2+9x+\left( \cfrac{9}{2} \right)^2 - \left( \cfrac{9}{2} \right)^2 \right]+1\implies \left[x^2+9x+\left( \cfrac{9}{2} \right)^2 \right]+1- \left( \cfrac{9}{2} \right)^2 \\\\\\ \left( x+\cfrac{9}{2} \right)^2+1-\cfrac{81}{4}\implies \left( x+\cfrac{9}{2} \right)^2-\cfrac{77}{4}](https://tex.z-dn.net/?f=%5Cbf%20%5Cleft%5Bx%5E2%2B9x%2B%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20-%20%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5Cright%5D%2B1%5Cimplies%20%5Cleft%5Bx%5E2%2B9x%2B%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5Cright%5D%2B1-%20%5Cleft%28%20%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%20%5C%5C%5C%5C%5C%5C%20%5Cleft%28%20x%2B%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2%2B1-%5Ccfrac%7B81%7D%7B4%7D%5Cimplies%20%5Cleft%28%20x%2B%5Ccfrac%7B9%7D%7B2%7D%20%5Cright%29%5E2-%5Ccfrac%7B77%7D%7B4%7D)
Answer:
about 463 minutes or 7.7 hours
Step-by-step explanation:
area=length*width
4.75ft*3.25ft=15.4375ft^2
Now multiply 15.4375*30 to get 463.125 minutes
-Hello There-
The Answer To This Question Would Be <em><u>"TRUE"</u></em>
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Answer:
-15
Step-by-step explanation:
-5 x 3 = -15
they went back 5 yards 3 times so it is a total of back 15 yards
Answer:
Step-by-step explanation:
Alright, lets get started.
Tomas has four pieces of wood having each length = 5, 4, 6 and 3
The length of wood he needs to cut to make a model airplane = 
Simplifying, it is 3.32 feet long
Means he needs more than 3 feet but less than 4 feet of wood piece.
So, he should select 4 feet length of wood because selcting 3 feet will not fulfilled to make his model and selcting 5 and 6 feet will have more unused wood.
4 feet piece of wood he should cut to have the least amount of unused wood. : Answer
Hope it will help :)
