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emmainna [20.7K]
3 years ago
15

A rectangle's area is given by the expression 6n2-n+

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

Length of rectangle:    2n - (1/3)  + 9/(3n)

Width of rectangle =  3n

Rectangle area  = A = 6 n^2  - n + 9

Step-by-step explanation:

Rectangle area  = A = 6 n^2  - n + 9

test what the roots are:    b^2 - 4ac  = (-1)^2 - 4*6*9 < 0  no real roots

-215 < 0  discriminant

(6 n^2  - n + 9)  / (3n) =

2n  -  (1/3)  +  9/(3n)

If the area is divided by 3n,  the quotient is  2n - (1/3) and the remainder is 9

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What is the reason for each strip on the solution of the equation?
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Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Step-by-step explanation:

We need to match the reason with the correct step in the equation.

Equation:

Given:

2x = -4(x-3)

Applying Distributive property a(b+c)=ab+ac

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Now, Applying addition property of equality:

Adding +4x on both sides

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Now, Applying Division property of Equality:

Divide both sides by 6:

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So, Answer will be:

Step 1: Given

Step 2:  Distributive Property

Step 3: Addition Property of  Equality

Step 4: Division Property of  Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

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