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nexus9112 [7]
2 years ago
10

The volume (in cubic meters), vvv, of a rectangular prism is given by the expression: v = a^4-2a^2b^2+b^4v=a 4 −2a 2 b 2 +b 4 v,

equals, a, start superscript, 4, end superscript, minus, 2, a, start superscript, 2, end superscript, b, start superscript, 2, end superscript, plus, b, start superscript, 4, end superscript where aaa and bbb are positive integers and a>ba>ba, is greater than,
b. pick three expressions that can represent the three unique dimensions of the prism (each in meters). choose all answers that apply: choose all answers that apply:
Mathematics
1 answer:
zhannawk [14.2K]2 years ago
6 0

Answer:

{a}^{2}  -  {b}^{2}

a - b

a + b

Step-by-step explanation:

The given expression that represents the volume of the rectangular prism is:

v =  {a}^{4}  - 2 {a}^{2}  {b}^{2}  +  {b}^{4}

We can rewrite this to reveal a perfect square pattern.

v =(  { {a}^{2}) }^{2}  - 2 {a}^{2}  {b}^{2}  + ( {b}^{2})^{2}

We factor using perfect squares to obtain:

v = ( {a}^{2}  -  {b}^{2} )^{2}

v = ( {a}^{2}  -  {b}^{2} )( {a}^{2}  -  {b}^{2} )

Volume is three dimensional so we need a third factor different from 1.

We further factor one of the difference of two squares to get:

v = ( {a}^{2}  -  {b}^{2})(a - b)(a + b)

So pick the following unique dimensions from the possible answers:

{a}^{2}  -  {b}^{2}

a - b

a + b

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3 years ago
PLZZZ HELP I DONT UNDERSTAND THIS AT ALLLLLL. :( :(
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Step-by-step explanation:

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4 0
2 years ago
A gallon of water weighs 8.345 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water d
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5 0
3 years ago
What is the value of x?<br> Enter your answer in the box.<br> x =
olasank [31]

Answer:

x = 21

Step-by-step explanation:

The sum the the interior angles of a triangle is 180°.

We know that the three angles of the triangle is 100°, x° - 4, and 3x°.

The sum of 100°, x° - 4, and 3x° must equal 180°. We can turn this into the equation:

100 + x - 4 + 3x = 180

(I got rid of the degree signs because they are not necessary when finding x.)

Now, to find the value of x, we would have to solve for x in the equation 100 + x - 4 + 3x = 180.

100 + x - 4 + 3x = 180

Subtract 100 from both sides to get rid of the 100 on the left side.

x - 4 + 3x = 180 - 100

Simplify.

x - 4 + 3x = 80

Add 4 from both sides to get rid of the -4 on the left side.

x + 3x = 80 + 4

Simplify and combine like terms.

4x = 84

Divide 4 from both sides to get rid of the coefficient of 4 on the left side.

x = 84/4

Simply.

x = 21

The value of x would be 21.

x = 21

I hope you find this helpful. :)

7 0
3 years ago
Ok some one ask me what 20 + 20 - 20 is said its 20 e didnt belive me i know thats the right anser
postnew [5]

Answer:

it is because 20 + 20 is 40 and then 40 - 20 = 20

6 0
2 years ago
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