Question

Find the y value for the point C such that AC and BC form a 2:3 ratio.



1.2

3

2.4

2

Answer 1

.... what did you get?

Answer 2

I didn't even bother working on this question, because I don't seem to understand them unfortunately.

Answer 3

hmm actually...kinda got the letters off

Answer 4

Alright, following ya

Answer 5

\(\bf A(-3,5)\qquad B(3,0)\\ \quad \\ \quad \\

\cfrac{AB}{CB}=\cfrac{ratio1}{ratio2}\implies ratio2\cdot AB=ratio1\cdot CB\quad \textit{dividing by C}\\ \quad \\
ratio2\cdot A=ratio1\cdot B\implies 4(1,2)=1(-4,-2)\\ \quad \\\qquad
\color{blue}{C=\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 \\
C=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 5)+(2\cdot 0)}{2+3}\right) \)

Answer 6

hmmm shoot one sec

Answer 7

that was from the previous one... .lemme add the proper values at one line that has the old ones

Answer 8

Alright! :)

Answer 9

You are really smart! :)

Answer 10

\(\bf A(-3,5)\qquad B(3,0)\\ \quad \\ \quad \\

\cfrac{AB}{CB}=\cfrac{ratio1}{ratio2}\implies ratio2\cdot AB=ratio1\cdot CB\quad \textit{dividing by C}\\ \quad \\
ratio2\cdot A=ratio1\cdot B\implies 3(-3,5)=2(3,0)\\ \quad \\\qquad
\color{blue}{C=\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 \\
C=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 5)+(2\cdot 0)}{2+3}\right)\)

Answer 11

for the y value, I got 3!

Answer 12

yeap

Answer 13

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

For this, the ratio is the same...

Answer 14

the missing "space" is 2/3

Answer 15

well, you'd know how to do it I'd think

Answer 16

just replace the x & y's ?

Answer 17

from G to H 2/3

meaning that say the point P is in between

so GP has a ratio of 2
HP has the ratio of 3

2:3 or 2/3

Answer 18

I got this! Thankssssss

Answer 19

yw

Answer 20

for some reason, I am getting my answer as 1

Answer 21

what mistake have I made nowww

Answer 22

@affanSolangii

Answer 23

hmm I got 1 as well

Answer 24

And that isn't any of my answer choices either..:(

Answer 25

hmmm can you post a quick screenshot of it?

Answer 26

of my work or the answers? @jdoe0001

Answer 27

the exercise with the choices, maybe something is missing or amiss

Answer 28

I found the answer to it! it was -0.33