Answer:
question 9
= –12
while question 11=, x= –72
Step-by-step explanation:
question 9=
u= –16+4= –12
question 11=
cross multiplication
x = -36 multiplied by 2 =
-72
I HOPE THIS HELPED IF WRONG IM SORRY
Answer: 24
Step-by-step explanation:
Given
![2x^4+2y^4+2z^4=144](https://tex.z-dn.net/?f=2x%5E4%2B2y%5E4%2B2z%5E4%3D144)
dividing whole equation by 2, we get
![\Rightarrow x^4+y^4+z^4=72](https://tex.z-dn.net/?f=%5CRightarrow%20x%5E4%2By%5E4%2Bz%5E4%3D72)
Mean is given by the sum of the value of entities divided by the total no of entities
![\Rightarrow \text{Mean}=\dfrac{x^4+y^4+z^4}{3}\\\\\Rightarrow \text{Mean}=\dfrac{72}{3}\\\\\Rightarrow \text{Mean}=24](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BMean%7D%3D%5Cdfrac%7Bx%5E4%2By%5E4%2Bz%5E4%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BMean%7D%3D%5Cdfrac%7B72%7D%7B3%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BMean%7D%3D24)
Answer:
<h2>y = 2x - 11</h2>
Step-by-step explanation:
![\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================](https://tex.z-dn.net/?f=%5Ctext%7BLet%7D%5C%5C%5C%5Ck%3Ay%3Dm_1x%2Bb_1%5C%5C%5C%5Cl%3Ay%3Dm_2x%2Bb_2%5C%5C%5C%5Cl%5C%20%5Cperp%5C%20k%5Ciff%20m_1m_2%3D-1%5Cto%20m_2%3D-%5Cdfrac%7B1%7D%7Bm_1%7D%5C%5C%5C%5Cl%5C%20%5Cparallel%5C%20k%5Ciff%20m_1%3Dm_2%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================](https://tex.z-dn.net/?f=%5Ctext%7BThe%20slope-intercept%20form%20of%20an%20equation%20of%20a%20line%3A%7D%5C%5C%5C%5Cy%3Dmx%2Bb%5C%5C%5C%5Cm-slope%5C%5Cb-y-intercept%5C%5C%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D)
![\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11](https://tex.z-dn.net/?f=%5Ctext%7BWe%20have%20the%20equation%20of%20a%20line%3A%7D%5C%20y%3D2x-7%5Cto%20m_1%3D2.%5C%5C%5C%5C%5Ctext%7BThe%20slope%20of%20a%20parallel%20line%3A%7D%5C%20m_2%3Dm_1%3D2.%5C%5C%5C%5C%5Ctext%7BWe%20have%20the%20equation%3A%7D%5C%5C%5C%5Cy%3D2x%2Bb%5C%5C%5C%5C%5Ctext%7BPut%20the%20coordinates%20of%20the%20point%20%285%2C%20-1%29%20o%20the%20equation%3A%7D%5C%5C%5C%5C-1%3D2%285%29%2Bb%5C%5C-1%3D10%2Bb%5Cqquad%5Ctex%5Ctext%7Bsubtract%2010%20from%20both%20sides%7D%5C%5C-11%3Db%5Cto%20b%3D-11%5C%5C%5C%5C%5Ctext%7BFinally%3A%7D%5C%5C%5C%5Cy%3D2x-11)
<span>A would be 6/7 x 28kg = 24 kg
B would be 4/7 x 28kg = 16 kg
so the difference of the masses is 24 - 16 = 8kg</span>