Find the distance between the points (2,8) and (17,0).

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Find the distance between the points (2,8) and (17,0).

1 Answer

2

Answer:

d = 17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

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

Algebra II

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

Step 1: Define

Point (2, 8)

Point (17, 0)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

  1. Substitute [DF]:                    d = \sqrt{(17-2)^2+(0-8)^2}
  2. Subtract:                               d = \sqrt{(15)^2+(-8)^2}
  3. Exponents:                           d = \sqrt{225+64}
  4. Add:                                      d = \sqrt{289}
  5. Simplify:                               d = 17
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Georgette O'Keefe
15.5k 3 10 26
answered 11 months ago