edwmal638
02.07.2021 •
Mathematics
Suppose z varies directly with x and inversely with the square of y. If z = 16 when x = 4 and y = 1 , what is z when x = 8 and y = 9 ?
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Ответ:
Step-by-step explanation:
z
=
32 /27
Explanation:
the initial statement here is
z
∝
x
y
2
to convert to an equation multiply by k the constant
of variation
⇒
z
=
k
x
y
2
to find k use the given condition
z
=
18
when
x
=
6
and
y
=
2
z
=
k
x
y
2
⇒
k
=
y
2
z
x
=
4
×
18
6
=
12
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
z
=
12
x
y
2
2
2
∣
∣
∣
−−−−−−−−−−−−−
when
x
=
8
and
y
=
9
z
=
12
×
8
81
=
32
27
Ответ:
i think B
Step-by-step explanation:
hope this helps c: