1/2 of the books are science books because once you convert the other two books you get 2/6 +1/6= 1/2 so the science books will be the other half.
I think d because it's the longest side
Answer:
is perpendicular to and goes through the point .
Step-by-step explanation:
Consider a line that has a slope of and goes through the point . The point-slope equation of this line would be:
.
The equation of "the given line" in this question is in the point-slope form. Compare the equation of this given line to . .
The coefficient of would be . In other words, the slope of this given line would be .
If two lines are perpendicular to one another, the product of their slopes would be .
Since the slope of the given line is , the slope of a line perpendicular to this line would be:
.
The question requested that this line should go through the point . Since the slope of that line is found to be , the point-slope equation of that line would be:
.
Simplify this equation to get:
.
First, we are going to find the difference,
, of our sequence. Remember that in an arithmetic sequence
, so:
Now that we have our difference, we can find the sum of the first 14 terms of our sequence using the formula:
where
is the number of terms we want to add
We now know that
,
, and
. So lets replace those values in our formula:
We can conclude that the sum of the first 14 terms of our sequence is
-791.