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Answer:
slope =
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 1) and (x₂, y₂ ) = (4, 3)
m = =
=
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
Step-by-step explanation:
The given is,
Prism is made up of 27 identical cubes
Step:1
Ref attachment,
Let, surface area of one of cube = 1 square units
Surface area of given prism,
In the given diagram it have 9 cube sides in each side of prism.
1 surface prism = 9 surface of cube
Surface area of given prism = 6 × Surface of prism
= 6 × 9
= 54 square units
Step:2 Check for alternative's
For removing one cube on the edge of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on each side,
= 6 × 11 = 66 square units
For removing cube on corner of prism,
1 surface of prim = 9 surfaces of cube
Surface area after removing cube on corner,
= 6 × 9 = 54 square units
For removing center cube on each side,
1 surface of prim = 13 surfaces of cube
Surface area after removing cube on corer on the prism,
= 6 × 13 = 78 square units
Surface area after removing corner cube on prism = 78 square units
Result:
The greatest possible surface area of the prism is 78 square units, it is obtained by removing center cube on each side of the prism.
Here is your graph of the system. Where they cross is the answer, which is -4. Pretty much you have to graph each equation and where they meet is the answer.
