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Aleonysh [2.5K]
2 years ago
6

Find the area of the rectangle A

Mathematics
1 answer:
algol [13]2 years ago
5 0

Answer:

12xy

Step-by-step explanation:

For rectangle A, the length would be (x+3x) and the width would be 3y, so 4x*3y = 12xy

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Three vertices of a rectangle have coordinates (3,4), (5,-4), and (-7,-7). What is the y coordinate of the fourth vertex?
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A block of ice has a square top and bottom and rectangular sides. At a certain point in
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Answer:

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

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

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<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

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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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