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lianna [129]
3 years ago
6

Phillip is standing across the classroom from his desk. He walks x steps in a straight line to his right, turns left at a 90° an

gle, and then walks another y steps in a straight line to arrive at his desk. The shortest path from Phillip's original position to his desk is d steps. Which of the following functions would best model the situation above? polynomial step absolute value square root A polynomial B step C absolute value or D square root
Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
For this case, we can model the problem as a triangle with a right angle.
 Where,
 x, y: lengths of the sides of the triangle
 d: hypotenuse of the triangle
 We then have the following relationship:
 d ^ 2 = x ^ 2 + y ^ 2

 Clearing d we have:
 d = \sqrt{ x^2 + y^2}
 Answer:
 
A functions that would best model the situation above is:
 
D square root
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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
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  4. Multiplication
  5. Division
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<u>Step 1: Define Systems</u>

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

<em>Substitution</em>

  1. Substitute in <em>x</em>:                                                                                                  6(y + 3) - 5y = 15
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  3. Combine like terms:                                                                                        y + 18 = 15
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