Logarithms are only able to make an equation linear if it is an exponential function. For example, 
can be made linear by taking the natural logarithm of each side, causing it to become 
. After some simplifying, you are left with 
. You are then able to plot ln(y) vs. x to get a linear fit.
Compute $14A6_{12} - 5B9_{12}$. Give your answer as a base $12$ integer.
1 answer:
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Answer:
4.57ft by 1.57 ft
Step-by-step explanation:
We are given that
Emma's square patio has been area=31 sq.ft
One dimension decrease by 1 foot and other dimension decrease by 4 feet.
We have to find the new dimensions of Emma's patio.
Let x be the side of Emma's square patio
We know that
Area of square=
ft
One dimension= ft
other dimension=
Hence, the new dimension of Emma's patio is given by
4.57ft by 1.57 ft
To solve this we can take two different approaches:
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
, so we can rewrite our expression as follows:
From our unitary circle we can check that
and 
.
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7
1. We can substitute theta by 30° and evaluate our expression using a calculator:
2. We can use the unitary circle and the fact that
From our unitary circle we can check that
Lets replace those values in our expression and simplify:
Either way we can conclude that the correct answer is: D)8.7