Question

HELP? WILL MEDAL!

Answer 1

@mathmale

Answer 2

If AC = 1 that means midpoint is half of that so 1/2?

Answer 3

@Acannell @AloneS @.Sam. @Directrix @Elsa213 @GamerFights @imqwerty @landlwsn @mjazzw7 @princeharryyy @sweetburger @TexMechanica @wanell @zepdrix

Answer 4

what does a represent?

Answer 5

As before, AC does not equal 1.

What you are trying to say is that THE SLOPE OF LINE SEGMENT AC IS 1.

Please review our discussion; we have touched on that before.

Answer 6

Draw the figure ABCD on paper.

Draw the line segment AC.

Visually find the midpoint of line segment AC.

Let me know when you've done that.

Answer 7

Ive already done that earlier

Answer 8

now that you know what a represents (if you do) put that in the fraction (couph couph 0 couph) than times that with 2 and you got your answer !! :)

Answer 9

Once again: Line segment AC is the line that connects A to C. Obviously line segment AC has a midpoint. Next, read off from your graph what the x-coordinate of the midpoint is, and also read off what the y-coordinate of the midpoint is.

Answer 10

The distance from A to D is simply a.

What is HALF of that distance?

The distance from C to D is simply a.

What is HALF of that distance?

Answer 11

Is A (0,0)? and C (a,a)?

Answer 12

Yes, that's right. You are to find the midpoint of the line segment connecting A and C.

Answer 13

What am I suppose to do next?

Answer 14

Answer my questions, please. From A to D is a distance of "a." Right?

what is HALF of that?

Answer 15

1/2a? I don't know what's half of a?

Answer 16

from C to D is also a distance of "a." What is half that?

Answer 17

Almost right. You have to get used to working with symbols (letters) to represent quantities.

1/2a is subject to misinterpretation.

Answer 18

It'd be clearer if you were to write a/2 or (1/2)a. Please don't write 1/2a to represent a/2.

Answer 19

Okay, and now what is next?

Answer 20

So the x-coordinate of the midpoint of line segment AC is x=a/2.
What is the y-coordinate of the midpoint?

Answer 21

0?

Answer 22

\[y _{midpoint}=?\]

Answer 23

Look. The "midpoint" is in the middle, exactly in the middle, of that square. Its x-coordinate could not be 0 if the midpoint is halfway horizontally from A to D.

The x-coordinate of the midpoint is \[x _{midpoint}=\frac{ a }{ 2 }\]

Answer 24

Type in the y-coordinate of the midpoint:

Answer 25

Is it a, also?

Answer 26

\[y _{midpoint}\]

Answer 27

Yes, it is.

Now you know whre the midpoint is and you have both the x- and the y-coordinates.

Write this point in the form (x,y) now, please.

Answer 28

(a,a) @mathmale

Answer 29

But (a,a) is Point D. We want the MIDPOINT of line segment AC.

You correctly found the x- and y-coordinates of the midpoint.

Answer 30

yes but if x and y coordinates are a and a? doesnt it mean its a,a?

Answer 31

Insert them into the description of the midpoint: (x, y).

The midpoint is