![(19x^3+44x^2y+17)-(y^3-11xy^2+2x^2y-13x^3) ](https://tex.z-dn.net/?f=%2819x%5E3%2B44x%5E2y%2B17%29-%28y%5E3-11xy%5E2%2B2x%5E2y-13x%5E3%29%0A)
We can use the distributive property to distribute the subtraction sign:
![19x^3+44x^2y+17-y^3--11xy^2-2x^2y--13x^3](https://tex.z-dn.net/?f=19x%5E3%2B44x%5E2y%2B17-y%5E3--11xy%5E2-2x%5E2y--13x%5E3)
When we subtract a negative it is the same as adding a positive:
![19x^3+44x^2y+17-y^3+11xy^2-2x^2y+13x^3](https://tex.z-dn.net/?f=19x%5E3%2B44x%5E2y%2B17-y%5E3%2B11xy%5E2-2x%5E2y%2B13x%5E3)
Gather the like terms:
![19x^3+13x^3+44x^2y-2x^2y+17-y^3+11xy^2 \\ \\=32x^3+42x^2y+17-y^3+11xy^2](https://tex.z-dn.net/?f=19x%5E3%2B13x%5E3%2B44x%5E2y-2x%5E2y%2B17-y%5E3%2B11xy%5E2%0A%5C%5C%0A%5C%5C%3D32x%5E3%2B42x%5E2y%2B17-y%5E3%2B11xy%5E2)
Rearrange the polynomial in order of powers to x, greatest to least:
Answer:
t1= 1.1475 sec
t2=9.48 sec
Step-by-step explanation:
This question asking for the time when an object reach a specific height. I will explain what the formula stand for to make this easier.
h= height = 174feet
v0= initial velocity = 170 feet/s
t= time
h0= initial height= ground level = 0
The question have predetermined formula for the height, so we should use it instead of formula that involve gravity value.
h= -16
+v0t + h0t
174 feet = -16
+ 170 feet/s x t + 0 x t
-16
+ 170 feet/s x t - 174 feet = 0
8
- 85 feet/s x t + 87 feet = 0
This equation will be hard to solve since its value in fraction, so lets use the quadratic formula
![x= \frac{-b±\sqrt{ b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%20%20%5Cfrac%7B-b%C2%B1%5Csqrt%7B%20b%5E2-4ac%7D%7D%7B2a%7D)
![t= \frac{(85)±\sqrt{ -85^2-4(8)(87)}}{2(8)}](https://tex.z-dn.net/?f=t%3D%20%20%5Cfrac%7B%2885%29%C2%B1%5Csqrt%7B%20-85%5E2-4%288%29%2887%29%7D%7D%7B2%288%29%7D)
![t= \frac{85±\ 66.64}{16}](https://tex.z-dn.net/?f=t%3D%20%20%5Cfrac%7B85%C2%B1%5C%2066.64%7D%7B16%7D)
t1= ![\frac{85-\ 66.64}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B85-%5C%2066.64%7D%7B16%7D)
t1= 1.1475
t2= ![\frac{85+\ 66.64}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B85%2B%5C%2066.64%7D%7B16%7D)
t2=9.48
Answer: -1
Step-by-step explanation:
Look at the patter it has
Answer:
19.15
Step-by-step explanation:
so find the circumference of the circle using c=2*pi*r it's like 18.849. then find the perimeter of the box so p=2l+2w and it's like 38. so subtract the circle circumference from 38 so 38-18.849=19.15
There are 14 floors in the building, because since Juan went up 4 floors, down 3 floors, and up one floor; so we know that he is 2 floors above from where he originally started. Once he went down 9 floors he passed the starting point and went to the bottom of the building. So, the middle must have been the 7th floor. Once I knew that I multiplied 7*2 and it got me 14. So in total there are 14 floors. I hope this helped ^^