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Ainat [17]
3 years ago
9

(80 POINTS) What rule describes a dilation with a scale factor of ½ and the center of dilation at the origin?

Mathematics
2 answers:
coldgirl [10]3 years ago
8 0

Answer:

C. (x,y) → (1/2x,1/2y)

Step-by-step explanation:

Dialation means to multiply each coordinate by scale factor and in this case it's 1/2

lesya [120]3 years ago
6 0

Answer:

C

Step-by-step explanation:

(x, y) -> (1/2x, 1/2y)

When you dilate a side, point, etc, you are multiplying the original dimension by the scale factor. That is represented in option C: the original x and y are multiplied by the scale factor, 1/2! Hope that helps! :)

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The mass of the liquid below is 45.5 grams if placed in a beaker with water the liquid will....
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Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)
grandymaker [24]

Answer:

x = 6

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  

Distributive Property

Equality Properties

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

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

5(x + 2) = 6x + 3x - 14

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition] Combine like terms:                                                                        5(x + 2) = 9x - 14
  2. [Distributive Property] Distribute 5:                                                                 5x + 10 = 9x - 14
  3. [Subtraction Property of Equality] Subtract 9x on both sides:                      -4x + 10 = -14
  4. [Subtraction Property of Equality] Subtract 10 on both sides:                       -4x = -24
  5. [Division Property of Equality] Divide -4 on both sides:                                x = 6
3 0
3 years ago
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