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AlladinOne [14]
2 years ago
13

The length, with, and height of a rectangular prism can be represented by the expressions (x+3),(x+7),and(x-1). Write an express

ion to represent the surface area of the prism.

Mathematics
2 answers:
joja [24]2 years ago
5 0

Answer: 6x² + 36x + 22

Step-by-step explanation:2 faces  (x + 3) by (x + 7), area of both these faces 2(x+3)*(x + 7)

2 faces  (x + 3) by (x - 1), area of both these faces 2(x+3)*(x - 1)

2 faces  (x -1 ) by (x + 7), area of both these faces 2(x-1)*(x + 7)

Whole surface area is

2(x+3)*(x + 7) + 2(x+3)*(x - 1) + 2(x-1)*(x + 7) =

=2(x² + 3x +7x +21) + 2(x² +3x -x - 3) + 2(x² - x +7x -7)=

=2x² + 20x +42 + 2x² + 4x - 6 + 2x² + 12x -14 =

= 6x² + 36x + 22

Law Incorporation [45]2 years ago
3 0

Answer:

6x^2+36x+22

Step-by-step explanation:

substitute given expressions in the formula

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2x+3y=12 find four solutions​
Nana76 [90]

Answer:

y = 0 and x = 6

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y = 6 and x = -3

Step-by-step explanation:

2x+3y=12 is the equation of a straight line.

There are infinite number of solutions, but here you're probably looking for solutions where x and y are whole numbers. Trial and error will find you some, although if you examine the equation closely you see that if x is a multiple of 3 and y is a multiple of 2, then they produce terms that are the LCM (least common multiple) of 2 and 3, namely 6. That's the logic in the whole number solutions.

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