5.5 always goes between 5 and 6
remember (x,y) one of the dots goes on the exactly on the axis, you have to drag it down to -9 from the y-axis
Answer:
you multiply 0.45kg by 87kg you will get 39lb
y+43°= 180°( straight angle)
=>y= 180°-43°
=>y=137°
Answer:
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
Step-by-step explanation:
Given
![$\[x^2 + 22x + \underline{~~~~}.\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20%5Cunderline%7B~~~~%7D.%5C%5D%24)
Required
Fill in the gap
Represent the blank with k
![$\[x^2 + 22x + k\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20k%5C%5D%24)
Solving for k...
To do this, we start by getting the coefficient of x
Coefficient of x = 22
<em />
Divide the coefficient by 2
![Result = 22/2](https://tex.z-dn.net/?f=Result%20%3D%2022%2F2)
![Result = 11](https://tex.z-dn.net/?f=Result%20%3D%2011)
Take the square of this result, to give k
![k= 11^2](https://tex.z-dn.net/?f=k%3D%2011%5E2)
![k= 121](https://tex.z-dn.net/?f=k%3D%20121)
Substitute 121 for k
![$\[x^2 + 22x + 121\]$](https://tex.z-dn.net/?f=%24%5C%5Bx%5E2%20%2B%2022x%20%2B%20121%5C%5D%24)
The expression can be factorized as follows;
![x^2 + 11x + 11x + 121](https://tex.z-dn.net/?f=x%5E2%20%2B%2011x%20%2B%2011x%20%2B%20121)
![x(x + 11)+11(x+11)](https://tex.z-dn.net/?f=x%28x%20%2B%2011%29%2B11%28x%2B11%29)
![(x+11)(x+11)](https://tex.z-dn.net/?f=%28x%2B11%29%28x%2B11%29)
![(x+11)^2](https://tex.z-dn.net/?f=%28x%2B11%29%5E2)
<em>Hence, the quadratic expression is </em>
<em></em>
In normal line integration, from what I understand, you are measuring the area underneath (,)
f
(
x
,
y
)
along a curve in the -
x
-
y
plane from point
a
to point
b
.