A scientist wishes to estimate the mean breaking strength of a certain type of steel rod within 3.0 psi with 95% confidence. Bas
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Answer:
The scale factor of a dilation from ABCD to RSTU is
Step-by-step explanation:
We know that the rectangle ABCD is similar to rectangle RSTU.
Given that in rectangle ABCD the longest sides are DC and AB and in the rectangle RSTU the longest sides are UT and RS ⇒ The scale factor of a dilation will transform the sides DC and AB into UT and RS
Working with the lengths of the sides :
DC.(Scale factor) = UT
AB.(Scale factor) = RS
Replacing with the values of the lengths (Scale factor : SF) :
Notice that the scale factor is dimensionless.
We can verify this result with the sides AD and BC :
The scale factor (SF) is
Consider a function f(x), the linear approximation L(x) of f(x) is given by
Given the quantity:
We approximate the quantity using the function
, where x = 203.
We choose a = 200, thus the linear approximation is given as follows:
Given the quantity:
We approximate the quantity using the function
We choose a = 200, thus the linear approximation is given as follows: