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Answer:
A
Step-by-step explanation:
The root 5's cancel each other out.
4x-2x = 2x
Therefore
2x/3 is the final answer
Answer:
5400 cubes can be fit into the prism.
Step-by-step explanation:
We are given the dimensions of prism as:
5 units by 5 units by 8 units i.e. 5 units×5 units×8 units.
Hence, the volume of the prism is given by:
Volume of prism=5×5×8=200 cubic units
Also the edge length of cube is given by= 1/3 unit.
Hence volume of 1 cube=
![\dfrac{1}{3}\times \dfrac{1}{3}\times \dfrac{1}{3}=\dfrac{1}{27}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%3D%5Cdfrac%7B1%7D%7B27%7D)
Hence volume of 1 cube= (1/27) cubic units.
Let 'n' cubes can be fitted into the prism.
Hence we have the relation as:
Volume of prism=n×Volume of 1 cube.
200=n×(1/27)
n=200×27
n=5400
Hence 5400 cubes can be fitted into the prism.
Answer:
y = x - 9
Step-by-step explanation:
Find the slope of the first line.
(-9 + 5)/(5 + 9)
-1
Lines perpendicular have opposite reciprocal slopes
1
Find the middle point of the first line, this is where it will intersect with the bisector.
5 + - 9/2 = 2
-5 + -9/2 = -7
(2,-7) is the midpoint
Use Point Slope Form to reduce it to Standard Form
y + 7 = 1(x - 2)
y + 7 = x - 2
y = x - 9