Question

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

Answer 1

@Tyrion

Answer 2

@Conner4789

Answer 3

@snowflake0531

Answer 4

It's a fact that if AC:BC = 2/3, then
x-diff of A to C : x-diff of B to C = 2:3, and same with the y value

Answer 5

though the problem wants the x value of C

Answer 6

So the x-value of A is -3, and the x-value of B is 3
let the x-value of C just be x

Answer 7

So the distance from -3 to x : the distance from x to 3 = 2/3

Answer 8

so here, we get (x - (-3)) : (3 - x) = 2:3

Answer 9

So (x+3) : (3-x) = 2:3
which you can rewrite as fractions
\[(x+3)/(3-x) = 2/3\]

Answer 10

Cross multiplying gets you
3(x+3) = 2(3-x)
3x+9 = 6-2x
5x = -3
x = -0.6

Answer 11

hope that helped!

Answer 12

i did thank you soooo much