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n200080 [17]
3 years ago
15

In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in squa

re units.​
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

(6 {x}^{2}   - 7x - 5) \:  {units}^{2}

Step-by-step explanation:

Area of rectangle = Product of sides

= (2x + 1) \times (3x - 5) \\  = 2x(3x - 5) + 1(3x - 5) \\  = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \:  \\  = (6 {x}^{2}   - 7x - 5) \:  {units}^{2}

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You didn’t show a picture of the graph, although the equation would be y=-1/2x+2
so every two x spaces forward you should go down one y space and the y should start at 2 when x = 0
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3 years ago
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Given that 2x – 9y = 11
Stels [109]

Answer:

y = 1/3

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

2x - 9y = 11

<em>x</em> = 7

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                                                                                                  2(7) - 9y = 11
  2. Multiply:                                                                                                             14 - 9y = 11
  3. [Subtraction Property of Equality] Subtract 14 on both sides:                       -9y = -3
  4. [Division Property of Equality] Divide -9 on both sides:                                 y = 1/3
8 0
2 years ago
If you triple a number and add 11 you get 200 what is the number
Dafna1 [17]
You can set up a simple algebraic equivalent to find a number equivalent to 200 after being multiplied by 3 and added 11 to.

3x+11=200
3x=189
x=63

Had to edit! Realized what I had done wrong
8 0
3 years ago
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How does x/2-12=-14 I don’t understand where the negative comes from
goblinko [34]
Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12
4 0
3 years ago
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