By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of 
in every term of the numerator cancels with in the denominator:
Finally, each term containing approaches 0 as 
, and the derivative is
Height of the flagpole = x
distance from flagpole to the mirror = 48 ft
height of Michele = 5 ft
distance from Michele to the mirror = 12 ft
Now, set the proportion.
x/48 = 5/12
48 * x/48 = 5/12 * 48
x = 240/12
x = 20
So, the height of the flagpole is 20 ft.
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Answer:
(2x3 − 3x − 10) ÷ (x − 2) = ( x-2)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The coordinates of point P are (-1.4,0.6)
Step-by-step explanation:
We are given A coordinate grid shown from negative 2 to positive 2 on x-axis and negative 2 to positive 2 on y-axis. There are 4 grid lines between a whole unit of the grid.
that means each grid has a value of 0.2.
" A point labeled P is shown at the intersection of 7 grid lines to the left of the y-axis and 3 grid lines above the x-axis "
As P lies on the left of the y-axis and above the x-axis hence the x-value will be negative and y-value will be positive.
According to the given information P lies 7 grid lines to the left of y-axis.
i.e. it has x-value -7×0.2= -1.4
and 3 grid lines above the x-axis i.e. it has y-value:
y-value= 3×0.2=0.6
Hence, the coordinates of Point P are (-1.4,0.6).
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