How do you solve for d in #n= (dh)/(f+d)#?
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To solve for ( d ) in the equation ( n = \frac{dh}{f + d} ), where ( n ), ( h ), ( f ), and ( d ) are variables:
- Start by multiplying both sides of the equation by ( f + d ).
- This gives you ( n(f + d) = dh ).
- Expand the left side of the equation by distributing ( n ) across ( f + d ), resulting in ( nf + nd = dh ).
- Move all terms involving ( d ) to one side of the equation and all other terms to the other side.
- This yields ( nd - dh = -nf ).
- Factor out ( d ) from the left side, resulting in ( d(n - h) = -nf ).
- Finally, divide both sides of the equation by ( n - h ) to isolate ( d ), giving you ( d = \frac{-nf}{n - h} ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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