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fgiga [73]
2 years ago
9

W = zh - 6zk². Solve for z(preferred with steps)​

Mathematics
1 answer:
8_murik_8 [283]2 years ago
8 0

Answer:

           w

z =   ------------

         h - 6k²

Step-by-step explanation:

w = zh - 6zk²

zh - 6zk² = w

           w

z =   ------------

         h - 6k²

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First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, \frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
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if we divide them then we do
\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=
\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=
(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=
\frac{b^2}{a^2}=\frac{84}{525}=
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check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
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