Question

math help ss below

Answer 1

@jhonyy9

Answer 2

looking at the first ratio:

yz: zx = 1:2
can assume z is nonzero

zx:xy = 2:3
can also assume x is nonzero

\[\frac{ yz }{ zx }=\frac{ y }{ x }=\frac{ 1 }{ 2 }\]means y = (1/2)x

looking at the second ratio:
\[\frac{ x }{ yz }:\frac{ y }{ zx }=1:k\]
can factor out the 1/z to get
\[\frac{ x }{ y }:\frac{ y }{ x }=1:k\]

meaning
\[\frac{ \frac{ x }{ y } }{ \frac{ y }{ x } }=\frac{ x^{2} }{ y^{2} }=\frac{ 1 }{ k }\]

\[\frac{ x^{2} }{ (\frac{ 1 }{ 2 }x) ^{2}}=\frac{ 1 }{ k }=4\]
k = 1/4

Answer 3

@smokeybrown would you mind checking this, I'm not 100% confident on my work

Answer 4

Yeah that makes sense, I think it's right.

Answer 5

ok thanks so much