Question

Question 5^ Need help ... ASAP ... your help is really appreciated ...

Also quick question on another one

6. What is the area of a square DEFG given d(0,0) E(3,0)
Would it be
9 units
Or
9 units ^2

Answer 1

See below

Explanation:

I think we had a question similar to this before. Again, let's figure out the vertical and horizontal distances figured out. The distance from C at x=8 to D at x=-5 is 13 units while the distance from C at y=-2 to D at y=9 is 11 units. (8+5=13 and 2+9=11, even though some numbers are negative, we're looking at their value in those calculations)

Next, we have to divide each distance by 4 so we can apply it to the ratio. 13/4=
`(13)/(4)` and 11/4=
`(11)/(4)`. Next, we need to read the question carefully. It's asking us to place the point in the ratio 3 to 1 from C to D. The point has to be closer to endpoint D because of this. Let's take each of our fractions, multiply them by 3, then add them towards the direction of endpoint D to get our answer (sorry if that sounds confusing):

`(13)/(4)*3 = (39)/(4)\\ 8-(39)/(4) =  (-7)/(4)\\(11)/(4)*3 = (33)/(4)  \\-2+(33)/(4) = (25)/(4)`

Therefore, our point that partitions CD into a 3:1 ratio is (
`(-7)/(4), (25)/(4)`).

I'm not sure if there was more to #5 judging by how part B was cut off. From what I can understand of part B, however, I believe that Beatriz started from endpoint D and moved towards C, the wrong direction. She found the coordinates for a 1:3 ratio point.

Also, for #6, since a square is a 2-dimensional object, the answer needs to be written showing that. The answer for #6 is 9 units^2.