Kailee1423
  • Kailee1423
Use the Distance Formula and the x-axis of the coordinate plane. Show why the distance between two points on a number line (the x-axis) is | a – b |, where a and b are the x-coordinates of the points.
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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Kailee1423
  • Kailee1423
@phi
Kailee1423
  • Kailee1423
@mathlover2014 @Jhannybean
Kailee1423
  • Kailee1423
@HelloKitty17 @They_Call_Me_Narii @FEARLESS_JOCEY

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More answers

phi
  • phi
Do you know the "distance formula" ? Is it in your notes?
Kailee1423
  • Kailee1423
d=the square root of x2-x1^2 + y2-y1^2
Kailee1423
  • Kailee1423
Are you there? Lol
phi
  • phi
OS is back. yes that is the correct formula. they want you to use it for two points that lie on the x-axis (that means they y value is 0)
phi
  • phi
for example, the two points can be (a,0) and (b,0) (if we plot them (if we knew what number a and b were) , they would be on the x-axis any way, use the distance formula to find the distance between those two points. can you try to do that ?
Kailee1423
  • Kailee1423
I could use the distance formula to find coordinates but this is just explaining without actual coordinates. It's confusing lol
phi
  • phi
just use letters instead of numbers.
phi
  • phi
for example x2 is "b" and x1 is "a" use those letters in the formula the y's are easy: both are 0
Kailee1423
  • Kailee1423
So D=(A^2-0^2) + (B^2-0^2) ?
phi
  • phi
I think you mixed x and y together the formula says \[ D = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\]
Kailee1423
  • Kailee1423
Oh so D=(A^2-B^2) + (0^2-0^2)
phi
  • phi
almost. you don't square each x or y you square the difference. Look at the formula carefully
Kailee1423
  • Kailee1423
I see now! Lol It's D=(A-B) + (0-0)
Kailee1423
  • Kailee1423
the square root of that
phi
  • phi
it is \[ D= \sqrt{ (A-B)^2 +(0-0)^2 } \] we can ignore adding zero, so that simplifies to \[ D= \sqrt{ (A-B)^2}\]
phi
  • phi
now we use the definition \[ |A-B|= \sqrt{(A-B)^2 }\] so show the distance is \[ D= | A-B| \]
Kailee1423
  • Kailee1423
Ok is that all?
phi
  • phi
yes
Kailee1423
  • Kailee1423
Thank you!!

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