When y varies inversely as x, and y=3 when x=5. ​

I think Explanation:

y

∝

1

x

2

or

y

=

k

⋅

1

x

2

or

x

2

⋅

y

=

k

;

x

=

5

,

y

=

3

∴

k

=

5

2

⋅

3

=

75

or

x

2

⋅

y

=

75

Step-by-step explanation:

w'x is 0.

hope it

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4