Question

What am I doing wrong?

Answer 1

What you mean what did you do

Answer 2

Point G is located at (3, −1), and point H is located at (−2, 3). Find the point that is 2/3 the distance from point G to point H.



\(\bf G(3,-1)\qquad H(-2,3)\\ \quad \\ \quad \\

\color{blue}{\cfrac{HP}{GP}=\cfrac{ratio1}{ratio2}\implies ratio2\cdot HP=ratio1\cdot GP\quad \textit{dividing by P}\\ \quad \\
ratio2\cdot H=ratio1\cdot G\implies} 2(-2,3)=3(3,-1)\\ \quad \\\qquad \color{blue}{P=\left(\cfrac{\textit{sum of "x" values}}{ratio1+ratio2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{ratio1+ratio2}\right)}\\ \quad \\

\qquad thus\qquad \\ \quad \\
P=\left(\cfrac{(2\cdot -2)+(3\cdot 3)}{2+3}\quad ,\quad \cfrac{(2\cdot 3)+(3\cdot -1)}{2+3}\right)\)

I get \(\bf (1, 0.6)\)..

Answer 3

Hold on..let me get the picture..

Answer 4

However, (1, 0.6) is incorrect..

Answer 5

\(\Large \dfrac{3\times 2 + (-2)\times 3}{2+3}\), \(\Large \dfrac{(-1)\times 2 + 3\times 3}{2+3}\)
^^ that should be your setup

Answer 6

for P

Answer 7

Oh..

Answer 8

I get (3.6, 0.6).

Answer 9

I wish I could help but I got the open study app on my phone and it sucks lol I can't see the if that's a chart or if it's like what I see

Answer 10

\(\Large \dfrac{mx_1 +nx_2}{m+n}\), \(\Large \dfrac{my_1 +ny_2}{m+n}\)
for n:m ratio
thats the general form

Answer 11

Oops, I didn't post the whole question..

Point G is located at (3, −1), and point H is located at (−2, 3). Find the point that is 2/3 the distance from point G to point H.

Answer 12

That's (3, -1) and (-2, 3).

Answer 13

\(m = 2\)
\(n = 3\)

\(x_1 = 3\)
\(y_1 = -1\)

\(x_2 = -2\)
\(y_2 = 3\)

Correct..?

Answer 14

'2/3 the distance from point G to point H'
m:n = 2:3
yes
all those are correct

Answer 15

Which gives me:

\((\dfrac{m x_1 + n x_2}{m + n}, \dfrac{m y_1 + n y_2}{m + n})\)

\((\dfrac{(2)(3) + (3)(-2)}{2 + 3}, \dfrac{(2)(-1) + (3)(3)}{2 + 3})\)

\((\dfrac{6 + -6}{5}, \dfrac{-2 + 9}{5})\)

\((\dfrac{0}{5}, \dfrac{7}{5})\)

\((0, 1.4)\)

That answer is still wrong.. @hartnn

Answer 16

why do i get 0,8/5 ?

Answer 17

nah, 0,7/5 is correct

Answer 18

That's not one of my options..

Answer 19

(0.33, -1.67)
(-0.33, 1.67)
(-0.5, -1)
(6.33, -2.67)

Answer 20

I think (−0.33, 1.67) is my answer..

Answer 21

oh wait!

Answer 22

2/3 the distance

so,
2/3 : 1/3 = 2:1 :3

Answer 23

m:n = 2:1

Answer 24

now try again :P

Answer 25

Oh..

Answer 26

\((\dfrac{m x_1 + n x_2}{m + n}, \dfrac{m y_1 + n y_2}{m + n})\)

\((\dfrac{(2)(3) + (1)(-2)}{2 + 1}, \dfrac{(2)(-1) + (1)(3)}{2 + 1})\)

\((\dfrac{6 + (-2)}{3}, \dfrac{-2 + 3}{3})\)

\((\dfrac{-12}{3}, \dfrac{1}{3})\)

\((-4, 0. \overline{33})\)

Answer 27

I'm still doing something wrong..

Answer 28

yeah, you swapped m and n

Answer 29

But I know the answer is (-0.33, 1.67)..because if you graph all the points with the two points..then (-0.33, 1.67) is the only one that lies in the middle of the two points..