Answer:
![(\dfrac{a ^{ - 2 } b ^ 2}{a ^ 2 b ^ {- 1}}) ^ {- 3}=(a^{-2-2}b^{2+1})^-3=(a^{-4}b^{3})^{-3}=a^{12}b^{-9}](https://tex.z-dn.net/?f=%28%5Cdfrac%7Ba%20%5E%7B%20-%202%20%7D%20b%20%5E%202%7D%7Ba%20%5E%202%20%20b%20%5E%20%7B-%201%7D%7D%29%20%5E%20%7B-%203%7D%3D%28a%5E%7B-2-2%7Db%5E%7B2%2B1%7D%29%5E-3%3D%28a%5E%7B-4%7Db%5E%7B3%7D%29%5E%7B-3%7D%3Da%5E%7B12%7Db%5E%7B-9%7D)
Step-by-step explanation:
hope this helps
Answer:
2/3 lbs
Step-by-step explanation:
2 divided by 3=2/3=2/3
Happy learning!
Answer:
A. ![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,
![\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B8%7D%5Ccdot%20m%3D-1%5C%5C%20%5C%5Cm%3D-%5Cdfrac%7B8%7D%7B7%7D)
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
![2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}](https://tex.z-dn.net/?f=2%3D-%5Cdfrac%7B8%7D%7B7%7D%5Ccdot%20%28-4%29%2Bb%5C%5C%20%5C%5Cb%3D2-%5Cdfrac%7B32%7D%7B7%7D%3D-%5Cdfrac%7B18%7D%7B7%7D)
Therefore, the equation of the line is
![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Answer:
He will need 9 tiles
Step-by-step explanation:
Step one:
let us highlight the given parameters
Given data
the size of the kitchen floor is 110 ft^2
the size of the bathroom is 28 ft^2
he used 32.5 tiles for the kitchen
and used x tiles for the bathroom
Step two:
if he used 32 tiles for 110 ft^2 kitchen
he will use x tiles for 28 ft^2 bathroom
cross multiplying we have
x= (32*28)/110
x= 896/110
x= 8.145
<em>Approximately he will need 9 tiles</em>