25 POINTS!! Help will give the brainliest
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Answer:
value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
[tex]a=b^2c^2d \:and\: d=\frac{1}{a}[/tex]
We need to find a in terms of b and c
We have: [tex]a=b^2c^2d[/tex]
Put value of d [tex]d=\frac{1}{a}[/tex]
[tex]a=b^2c^2(\frac{1}{a})\\a^2=b^2c^2\\Taking \:squareroot\:on\:both\:sides\\\sqrt{a^2}=\sqrt{b^2c^2}\\a=bc[/tex]
So, value of a in terms of b and c is: [tex]\mathbf{a=bc}[/tex]
Option D is correct.