gia221
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  • 12-12-2020
  • Mathematics
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25 POINTS!! Help will give the brainliest

25 POINTS Help will give the brainliest class=

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absor201
absor201 absor201
  • 12-12-2020

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.

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