geometry

"We use different formulas to find the distance of a segment on a number line, d=|a−b|" role="presentation" style="display: inline; font-size: 16px; position: relative;">d=|a−b|, and the distance of a segment in the coordinate plane, d=(x2−x1)2+(y2−y1)2" role="presentation" style="display: inline; font-size: 16px; position: relative;">d=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√. Why is it necessary to use the absolute value of the difference when finding the distance on a number line, but not necessary when finding the differences of the coordinates in the coordinate plane?"

asked by jill
  1. values on the number line can be measured in either direction. So, it makes a difference which one is subtracted. The distance though, is always positive.

    In the xy distance formula, the differences are squared, so that always gives a positive result.

    If you think about it, the same formula would work on the number line.
    d = √(x1-x2)^2
    will always give a positive result.

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    I'm stumped: So bringing it back to the top. Hope that's ok! 2 charges, Q1 and Q2, equal magnitude, but different signs (not assigned) lie on a line, x axis, a known distance apart. Segment p-q lies centrally on the line, distance
  2. English

    1. I don't know how to inline skate. 2. He is good at inline skating. 3. Do you like inline skating? 4. I made him inline/in-line skate. (Are they all grammatical? Why does it have 'inline'? What about 'in-line'? Are both
  3. Geometry - not Geography

    A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment. A. 1.5 B. -1.5 C. 2 D. -3 2. Find the coordinates of the midpoint ~hx(line over hx) given that H(-1,3) and X(7,-1).
  4. computers

    what unit of measurement is used for font size? what is the difference between 'serif' font and 'sans serif' font? Name 6 different serif fonts and 6 different sans serif fonts. Make a list of different ways you can find to
  5. Calc

    I'm kind of rusty on my calc here... ok ther's a graph of velocity vs time w/ velocity in m/s and time in seconds were time is of course the x-axis k I'm asked to describe how the velocity changes over the timer interval in this
  6. calculus

    Consider line segments which are tangent to a point on the right half (x>0) of the curve y = x^2 + 1 and connect the tangent point to the x-axis. If the tangent point is close to the y-axis, the line segment is long. If the
  7. Algebra please help!

    I'm very confused with what I'm learning about right now. We are kind of talking about slopes, functions, graphs, etc. Today, my teacher taught about midpoint and distance, and did not explain very well at all. Would someone
  8. math

    1.A line segment on a number line has its endpoints at -9 and 6 find the coordinate of the midpoint of the segment. Answer choices are A.1.5 B.-1.5 C.2 D.-3 2.find the coordinate of the midpoint of HX given that H(-1,3) and
  9. math

    A printer has two font sizes. Large font is 1800 words per page. Small font is 2400 words per page. If allotted 21 pages, then how many pages must be in smaller font size?
  10. physics fields and charges

    I'm stumped: 2 charges, Q1 and Q2, equal magnitude, but different signs (not assigned) lie on a line, x axis, a known distance apart. Segment pq lies centrally on the line, distance apart is known. An electron is released at p

More Similar Questions