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kirill115 [55]
3 years ago
6

A square has a side length represented by the polynomial 2x - 3. Write a polynomial expression that represents the perimeter of

the square
Mathematics
1 answer:
ololo11 [35]3 years ago
4 0

Answer:8x-12


Step-by-step explanation:

1. A square has four sides and all the sides have equal length.

2. Keeping this on mind, you must multply the lenght given in the problem by   4, as you can see below:

4(2x-3)=8x-12

3. Therefore, the polynomial expresion that represents the perimeter of the square is 8x-12.


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Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
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Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

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