1/10 of 800 is ten times as much as __________
2 answers:
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To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:
3- Use the coordinates of the point to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
.
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
, so that 
. Then
which simplifies to
Now, recall that
. But we want the substitution we made to be reversible, so that
which implies that
. (This is the range of the inverse sine function.)
Under these conditions, we have
, which lets us reduce 
. Finally,
and back-substituting to get this in terms of
yields
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for
In that case, you want to find the antiderivative,
Complete the square in the denominator:
Now substitute
which simplifies to
Now, recall that
which implies that
Under these conditions, we have
and back-substituting to get this in terms of