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What is the distance between two points(0,0)(-3,5)

2 Answers

2 votes

Explanation:

Think of it like a right triangle. Do you have a graph handy?

Ok, graph both of the points. Now connect the points. That's our hypotenuse and the side length we want to find.

Now, bring down a line from (-3,5) to the x axis. Do you see a right triangle?

All we have to do is find the hypotenuse of this right triangle we just drew. We already have the leg lengths which are 3 and 5. Using this, do the pythagorean theorem.

9+25=34

√34 is our hypotenuse & distance between the points

User RKI
by
8.2k points
3 votes

Answer:


\displaystyle d = √(34)

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 I

  • Coordinates (x, y)

Algebra II

  • Distance Formula:
    \displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)

Explanation:

Step 1: Define

Identify

Point (0, 0)

Point (-3, 5)

Step 2: Find distance d

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

  1. Substitute in points [Distance Formula]:
    \displaystyle d = √((-3-0)^2+(5-0)^2)
  2. [√Radical] (Parenthesis) Subtract:
    \displaystyle d = √((-3)^2+(5)^2)
  3. [√Radical] Evaluate exponents:
    \displaystyle d = √(9+25)
  4. [√Radical] Add:
    \displaystyle d = √(34)
User Dustin Graham
by
8.3k points

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