5.012121212 rational or irrational?
2 answers:
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First, let 
be a point in our parabola. Since we know that the focus of our parabola is the point (0,8), we are going to use the distance formula to find the distance between the two points:
Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,
, is: 
. Since our directrix is y=-8, the distance to our point will be:
Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
Finally, we can expand and solve for
:
We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Next, we are going to find the distance between the directrix and the point in our parabola. Remember that the distance between a point (x,y) of a parabola and its directrix,
Now, we are going to equate those two distances, and square them to get rid of the square root and the absolute value:
Finally, we can expand and solve for
We can conclude that t<span>he standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is </span>
Answer:
$37.
Step-by-step explanation:
Firstly, let's set the price of each pair of shoe to be x.
Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.
Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.
Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) 106%.
Since the whole bill foots to a total of $126.81, we can set the final equation to be:
Hope this helped!