The equation that is equivalent to S=pi r^2 h is h = S/pir^2
<h3>Subject of formula</h3>This is a way of representing a variable with another. Given the equation
S=pi r^2 h
We are to make 'h" the subject of the formula.
Divide both sides by pir^2
S/pir^2 =pi r^2 h/pir^2
h = S/pir^2
Hence the equation that is equivalent to S=pi r^2 h is h = S/pir^2
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Answer:
Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= - cosx -
sinx
squaring to obtain cos² (120 + x)
= cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= - cosx +
sinx
squaring to obtain cos²(120 - x)
= cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x + cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x + cos²x +
sin²x
= cos²x +
sin²x
= (cos²x + sin²x) =
Answer:
Step-by-step explanation:
The point of intersection of
and
is the solution of the two equations.
We add equation (1) and equation(2) to get,
We put into equation (1) to get,
Therefore the line passes through the point, .
The line also passes through the point of intersection of
and
We subtract equation (3) from equation (4) to obtain,
We substitute this value into equation (4) to get,
The line also passes through
The slope of the line is
The equation of the line is
is the required equation