Question

I need help with this question, I don't understand it at all.... Point A, located at (-8, 3), is the location of the storage closet and point C, located at (12, -4), is the director's office. Find point B, the location of the art supplies, if it is (2/5) the distance from point A to point B.

Answer 1

\[distance formula = d =\sqrt{(x1-x2) + (y1-y2)}\]

Answer 2

Once you find the distance from A to B. Then figure what 3/5 of that would be.

Answer 3

I know how to use the distance formula I'm just confused about the 2/5 stuff lol

Answer 4

Well 2/5 * d is your distance from point B to the location of the art supplies.

Answer 5

Wow I feel stupid lol

Answer 6

Haha no don't be :p

Answer 7

So I just multiply 2/5 * the distance nd I have my answer?

Answer 8

Yeah ! Then you can get the coordinates of the location by the same formula given by @nelsonjedi and replacing X1 and Y1 by the coordinates of B.

Answer 9

Wait you confused me lol

Answer 10

Ok, i'll draw a picture for you

Answer 11

So I use the distance formula to figure out the distance between points a nd c. Then after doing that I just multiply 2/5 * D, then that's it? I'm completely done?

Answer 12

When you do you do that you get the distance from A to B, then you need to find the coordinates of B.

Answer 13

So then what does multiplying 2/5 * D give me?

Answer 14

Like I said that gives the distance from A to B.
This is the second part :3
You apply the formula of the distance from A to B and from B to C, which will give you a system to solve for x and y the coordinates for B.
Like this : 2/5 * d = sqrt ( (x+8)² + (y-3)² )
and 3/5 * d = sqrt ( (x-12)² + (y+4)² )

Answer 15

You jsut need to solve that system for x and y and you're done ^^

Answer 16

just*

Answer 17

I know it looks complicated but it's really easy once you start :p

Answer 18

Where did you get 3/5 from lol?

Answer 19

It's d - 2/5*d the distance from B to C. And on second thoughts it is kinda complicated, where did you get this problem from ?

Answer 20

Its on my worksheet for geometry lol

Answer 21

Are you supposed to find coordinates by calculus or maybe just draw point B on your sheet, cause that would be much simpler.

Answer 22

All it says is find point b so idk lol

Answer 23

It is actually simpler than that

(There is certainly no calculus)

Find x1-x2 and y1-y2

The x position of the art supplies is 2/5 of the X difference
The y position of the art supplies is 2/5 of the Y difference